URGENT!!!!

Which transformations could have occurred to map AABC
to AA"B"C"?
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a dilation and a rotation

URGENT!!!! Which Transformations Could Have Occurred To Map AABCto AA"B"C"?a Rotation And A Reflectiona

Answers

Answer 1

Answer: a dilation and a rotation

Step-by-step explanation:

A reflection is a rigid transformation that maps every point of a figure in the plane to point of image of figure, across a line of reflection .A rotation of some degrees is a rigid transformation which rotate a figure about a fixed point known as the center of rotation.A translation is a rigid transformation of a figure that moves every point of the figure a fixed distance in a particular direction.A dilation is a transformation in which a figure is enlarged or reduced with respect to a point known as the center of dilation.

From the given figure it can be seen that ΔABC is reduced to ΔA"B"C" so there must be dilation.

Also, when there is rotation about point C to create ΔA"B"C".

Therefore, the transformations could have occurred to map ΔABC to ΔA"B"C" are a dilation and a rotation.


Related Questions

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step.



Write the function in standard form.

f(x) = 3x2 + 18x
Factor a out of the first two terms. f(x) = 3(x2 + 6x)
Form a perfect square trinomial.

f(x) = 3(x2 + 6x + 9) – 3(9)

Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27

What is the missing value in the last step?


Answers

Answer:

3

Step-by-step explanation:

f(x) = 18x + 3x^2

f(x) =  3x^2+18x

Factor out a 3

     = 3(x^2 +6x)

Take the coefficient of x, divide by 2 and then square

6/2 = 3 3^2 =9

Remember the 3 out side 3*9 =27 so we are really adding 27

3(x^2+6x+9) -3*9

The number inside the parentheses added to x is b/2  or 6/2

3(x+3)^2 -27

Answer:

[tex]f(x)=3(x+3)^{2}-27[/tex]

Step-by-step explanation:

In the last step is missing the number 3 which is the second term of the binomial squared expression.

Basically, the complete step is

[tex]f(x)=3(x+3)^{2}-27[/tex]

As you can see, the three inside the parenthesis is the missing part in the last step.

Levi reads 280 words in 2 minutes how many words can he read in 5 minutes.

Answers

Hello There!

WHAT WE KNOW  Levi reads 280 words in 2 minutes. We need to find out how many words he can read in 5 minutes

To find out how many words Levi can read in 5 minutes, it will first be easier to find out how many words Levi can read in 1 minute. To find this, we will divide 280 by 2 and that will give us the number of words per minute.

Next, once we divide we will get a quotient of 140.

Finally, we take 140 and multiply it by 5 and we get a product of 700

Therefore, Levi reads 700 words in 5 minutes

During their first home game, the Eagles soccer team drew a total of 176 fans. By the second game, this number grew to 202 fans. What was the percent increase in attendance between the first two home games of the season? Round your answer to the nearest tenth, if necessary.

The answer is 14.8% but I don't know how to show my work for it.

Answers

Answer:

Step-by-step explanation:

Initial # = 176 fans

Final # = 202 fans

Increase = 202 - 176 = 26 fans

% increase = 100% x (Increase / initial #)

= 100 x (26/176)

= 100 x 0.1477

= 14.78%

The table represents the multiplication of two binomials. What is the value of A?

Answers

The calculated value of the variable A from the table of values is -3x²

How to determine the value of the variable A

From the question, we have the following parameters that can be used in our computation:

The contingency table

The cell A is in the row -x and the column 3x

This means that

A = 3x * -x

When the product is evaluated, we have

A = -3x²

Hence, the value of the variable A is -3x²

Which statement best describes f(x)= -2 sqrt (x-7)+1

Answers

Answer:

-6 is not in the domain of f(x) but is in the range of f(x)

Step-by-step explanation:

we have

[tex]f(x)=-2\sqrt{x-7}+1[/tex]

Find the domain of the function

we know that the radicand must be greater than or equal to zero

so

[tex]x-7\geq 0\\ \\x\geq 7[/tex]

The domain is all real numbers greater than or equal to 7

The range is the interval -----> (-∞,1]

[tex]y\leq1[/tex]

All real numbers less than or equal to 1

see the attached figure to better understand the problem

therefore

The statement that best describes the function f(x) is

-6 is not in the domain of f(x) but is in the range of f(x)

Answer:

B is the right choice. -6 is not the domain of f(x) but is in the range of f(x)

What is the circumference of the circle? Use 22/7 for pi

Answers

Answer:

The second choice, 55 cm.

Step-by-step explanation:

Formula for circumference:

[tex]\pi * d[/tex]

[tex]\frac{22}{7} * \frac{35}{2} = \frac{770}{14}  \\\\770 / 14 = 55[/tex]

The circumference of the circle is 55 cm.

Answer:

Circumference of circle is:

55 cm

Step-by-step explanation:

we are given diameter d of a circle=35/2 cm

We have to find its circumference.

We know that circumference of circle in terms of its diameter is:

Circumference=πd

Circumference=[tex]\dfrac{22}{7}\times \dfrac{35}{2}[/tex]

                        =55 cm

Hence, circumference of circle is:

55 cm

Find the value of z.

Answers

Answer:

z = [tex]\frac{50}{3}[/tex]

Step-by-step explanation:

The ratio of corresponding sides are equal, that is

[tex]\frac{z}{10}[/tex] = [tex]\frac{20}{12}[/tex] ( cross- multiply )

12z = 200 ( divide both sides by 12 )

z = [tex]\frac{200}{12}[/tex] = [tex]\frac{50}{3}[/tex]

A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?

a. 7-9 pounds
b. 6-10 pounds
c. 5-11 pounds
d. 4-12 pounds​

Answers

Answer:

Option b) 6-10 lbs

Step-by-step explanation:

Given that X, the weight of  toy American Eskimo dog has mean of 8 pounds with a standard deviation of 1 pound

For 95% of the dogs according to normal distribution would lie between 2 std deviations on either side of the mean.

i.e. lower bound= Mean- 2 std deviation = 8-2 =6

Upper bound = Mean +2 std dev = 8+2 =10

Hence range of weights would be

6-10 lbs

Option b is the answer

Final answer:

The range of weights for 95% of toy American Eskimo dogs, assuming a normal distribution with a mean of 8 pounds and a standard deviation of 1 pound, would be 6 to 10 pounds.

Explanation:

To find the range of weights for which 95% of toy American Eskimo dogs fall under, given a mean weight of 8 pounds and a standard deviation of 1 pound, we use the properties of the normal distribution. The 95% interval is also known as the 95% confidence interval, and we can use the empirical rule or z-scores to calculate this. The empirical rule states that approximately 95% of data within a normal distribution lies within two standard deviations of the mean. Therefore, the range would be from 8 - (2 × 1) to 8 + (2 × 1), resulting in a weight range of 6 to 10 pounds.

write and equation for the line that is parallel to the given line and that thale passes through the given point. y=3/4x-9 (-8 -18) ​

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 9 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

• Parallel lines have equal slopes, hence

y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation of the parallel line.

To find c substitute (- 8, - 18) into the partial equation

- 18 = - 6 + c ⇒ c = - 18 + 6 = - 12

y = [tex]\frac{3}{4}[/tex] x - 12 ← equation of parallel line

Answer:

Step-by-step explanation:

The equation of a linear function in point-slope form is y – y1 = m(x – x1)

The point is A (x1 , y1)  

the slope is : m     the line that is parallel to the given line so : m = 3/4

passes through the given point (-8 -18)

so :  x1 = - 8   and y1 = -18

an equation is : y +18= 3/4(x +8)

If (2i/2+i)-(3i/3+i)=a+bi, then a=
A. 1/10
B. -10
C. 1/50
D. -1/10​

Answers

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

[tex]\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi[/tex]

We need to find the value of a.

The LCM of (2+i) and (3+i)  is (2+i)(3+i)

[tex]=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}[/tex]

Now rationalize the denominator by multiplying by 5-5i/5-5i

[tex]=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}[/tex]

We are given

[tex]\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi[/tex]

Now after solving we have:

[tex]\frac{1}{10}-\frac{i}{10}=a+bi[/tex]

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

Final answer:

After simplifying the complex fractions and subtracting them, the real part a is found to be 0.1, which corresponds to option A, 1/10.

Explanation:

To solve the equation (2i/2+i)-(3i/3+i)=a+bi, we want to find the real part (a) and the imaginary part (b) after simplifying the given expression. We will need to perform complex number arithmetic by simplifying each fraction separately and then subtracting them. This process involves multiplying the numerator and the denominator by the conjugate of the denominator to make the denominator real.

First, let's simplify (2i/2+i):

(2i)/(2+i) = (2i)(2-i)/(2+i)(2-i) = (4i-2i²)/(4+2i-2i-i²) = (4i+2)/(4+1) = (2+4i)/5 = 0.4+0.8i.

Now, let's simplify (3i/3+i):

(3i)/(3+i) = (3i)(3-i)/(3+i)(3-i) = (9i-3i²)/(9+3i-3i-i²) = (9i+3)/(9+1) = (3+9i)/10 = 0.3+0.9i.

Next, subtract the two results:

(0.4+0.8i) - (0.3+0.9i) = 0.4 - 0.3 + (0.8i - 0.9i) = 0.1 - 0.1i.

So, a = 0.1 and b = -0.1. Comparing this with the given options, we can conclude that a = A. 1/10.

Convert: 31 ft = _yd__ft

Answers

Answer:

10 yards and 1 feet

Answer:

10 yards + 1 ft

Step-by-step explanation:

Conversion :

3 feet = 1 yard

or

30 feet = 10 yards

notice that 31 ft = 30 ft + 1 ft

                          = 10 yards + 1 ft

Which method correctly solves the equation using the distributive property?
-0.2(x-4)=-1.7

Answers

Distribute -0.2:

-0.2 * x = -0.2x

-0.2 * -4 = 0.8

-0.2x + 0.8 = -1.7

Subtract 0.8 from both sides:

0.8 - 0.8 = 0

-1.7 - .8 = -2.5

Divide -.2x from both sides:

-0.2x = -2.5

x = 12.5

Hence, the value of x is 12.5

Answer: C I think. My answers are all confusing so I apologize if I make u get it wrong.

Step-by-step explanation:

what is the third angle of a right triangle if one of the angles measures 51.

Answers

Answer:

39

Step-by-step explanation:

The short answer is 39.

Every triangle has 180 degrees. There are no exceptions to this rule.

Since a triangle has 3 angles, all three together must add up to 180o

A right angle = 90 degrees always.

You are given 51 degrees as your second angle

The third one is x

x + 51 + 90 = 180                   Total of three angles must be 180

x + 141 = 180                           The left has been added to give 141

x = 180 - 141                            Subtract 141 from both sides

x = 39                                     The third angle = 39    

Which would be the "best" or quickest first step to solve the system using substitution?
x – 2y = -2
- 3+y=2

Solve (rearrange) the 1st equation for X.

Solve (rearrange) the 1st equation for Y.

Solve (rearrange) the 2nd equation for X.

Solve (rearrange) the 2nd equation for y.​

Answers

Answer:

4th option

Step-by-step explanation:

Solve and rearrange the second equation for y

y= 2 +3

y =5

The substitute y in first equation to get x

Solve the following problems.
a. 2 ft 5 in + 9 in
b. 4 yd 8 in + 6 yd 6 in
c. 29 yd 2 ft 11 in + 55 yd 1 ft 10 in + 13 yd 1 ft 3 in
d. 4,839 sq yd 8 sq ft 139 sq in + 7 sq ft 124 sq in

Answers

Answer:

(a) 38 inches (b) 374 inches (c) 3564 inches (d) 6273767 square inches

Step-by-step explanation:

a) 2 ft 5 inches + 9 inches

Convert to inches

1 feet = 12 inches

2 feet = 12 x 2 inches = 24 inches

24 inches + 5 inches + 9 inches = 38 inches

b) 4 yards 8 inches + 6 yards 6 inches

Convert to inches

1 yard = 36 inches

4 yards = 36 x 4 = 144 inches

144 inches + 8 inches = 152 inches

6 yards = 36 x 6 = 216 inches

216 inches + 6 inches = 222 inches

152 inches + 222 inches = 374 inches

c) 29 yard 2 feet 11 inches + 55 yard 1 feet 10 inches + 13 yard 1 feet 3 inches

Convert to inches

29 yard 2 feet 11 inches

1 yard =  36 inches

29 yards = 36 x 29 = 1044 inches

1 feet = 12 inches

2 feet = 12 x 2 = 24 inches

1044 + 24 + 11 = 1079 inches

55 yard 1 feet 10 inches

1 yard = 36 inches

55 yards = 26 x 55 = 1980 inches

1 feet = 12 inches

1980 + 12 + 10 = 2002 inches

13 yard 1 feet 3 inches

1 yard = 36 inches

13 yards = 13 x 36 = 468 inches

1 feet = 12 inches

468 + 12 + 3 = 483 inches

1079 + 2002 + 483 = 3564 inches

d) 4,839 sq yard 8 sq feet 139 sq inches + 7 sq feet 124 sq inches

Convert to square inches

4,839 sq yard 8 sq feet 139 sq inches

1 square yard = 1296 square inches

4839 x 1296 = 6271344 square inches

1 square feet = 144 square inches

8 x 144 = 1152

6271344 + 1152 = 6272635 square inches

7 sq feet 124 sq inches

7 x 144 = 1008

1008 + 124 = 1132 square inches

1132 + 6272635 = 6273767 square inches

!!

A vegetable garden in the shape of a rectangle is to be divided up into 4 sections using the diagonals. A stake marks the intersection of the diagonals. What is the length of 1 diagonal if the distance from 1 vertex to the stake is 8.1 feet?


A. 24.3 ft
B. 16.2 ft
C. 4.05 ft
D 8.1 ft

Answers

Answer:

B. 16.2 ft

Step-by-step explanation:

one vertex to the stake is 8.1, and because the stake is the "halfway" point, the diagonal is twice that length.

8.1 * 2 = 16.2 ft

Answer:

The correct option is B.

Step-by-step explanation:

Given: Rectangle with the stake marking where diagonal intersect each other.

To find  : The length of the one of the diagonal.

Solution:

Diagonals of rectangle bisect each other into two equal parts.

So, the distance of all vertices from the stake will be same as that of the 8.1 feet.

So the length of the diagonal will be:

[tex]2\times \text{Distance from 1 vertex to the stake}[/tex]

[tex]=2\times 8.1 feet=16.2 feet[/tex]

Hence, the length of the diagonal will be 16.2.

Which angle is an inscribed angle

1
2
3
4

Answers

Answer:

∠1

Step-by-step explanation:

we know that

An inscribed angle in a circle is formed by two chords that have a common end point on the circle

The measure of the inscribed angle is half of measure of the intercepted arc

In this problem

∠1 is an inscribed angle

∠2 is an outer angle

∠3 is an interior angle

∠4 is an semi-inscribed angle ( angle formed by a chord and a tangent)

Answer:

1. Tangent ray: a ray that lies on a tangent line and contains the point of tangency;

2. Intercepted arc: an angle intercepts an arc if the endpoints of the arc lie on the sides of the angle and all points of the arc except the endpoints lie in the interior of the angle;

3. Secant ray: a ray that lies on a secant line and contains both points of intersection with the circle; and

4. Inscribed angle: an angle with sides containing the endpoints of an arc and with a vertex that is a point of the arc other than an endpoint of the arc.

15 points with explanation​

Answers

Answer:

The answer is 142°

Step-by-step explanation:

Because 38° and m∠2 are corresponding angles, m∠2 = 38°. Also, m∠2 and m∠5 are supplementary angles, which means the sum of their angles adds up to 180°. We can create the equation 38° + m∠5 = 180°. By subtracting 38° on both sides, we get m∠5 = 142°.

Given: Quadrilateral ABCD is inscribed in the circle.
Diagonals AC and BD meet at point E.
AD = CD

Prove: BE X AD = EC X AB​

Answers

Answer:

See explanation

Step-by-step explanation:

Consider triangles ABD and BEC. In these tirangles:

Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the  base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.

So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus

[tex]\dfrac{BD}{BC}=\dfrac{DA}{CE}=\dfrac{AB}{BE}\Rightarrow BE\cdot DA=AB\cdot CE[/tex]

what is which the relationship between the volume of a cone and the volume of a cylinder? explain​

Answers

Answer:

The base of the cone is a circle of radius r. The height of the cone is the length h of the straight line from the cone's tip to the center of its circular base. Both ends of a cylinder are circles, each of radius r. ... For example, the volume of a cube is the area of one side times its height.

Step-by-step explanation:

Hope this helps! Please mark brainliest!

Answer:

The volume of a cone is one-third the volume of a cylinder.

Step-by-step explanation:

20% of what number is 80?

Answers

Answer:   The answer is:  " 400 " .

____________________________________________

             →   20% of    400    is  80 .

____________________________________________

Step-by-step explanation:

____________________________________________

  20% of  "x" = 80 ;  Solve for  " x " ;  

20%   =  20/100 ;

         =   20 ÷  100 ;

         =   20.  ÷ 100 ;

         =   0.20  ;  

____________________________________________

Note that when dividing by 100 , we move the decimal        

point backward (when "dividing") — 2 (two) spaces —

                                since "100" has 2 (two) "zeros" .

____________________________________________

         →   0.20 = 0.2 ;  

____________________________________________

          →   (0.2) x = 80 ; Solve for "x" ;

In this case, multiply each side of the equation by "10" ; to get rid of the "decimal value" ; as follows:

          →  (10) * (0.2) x = 80 * 10) ;

   to get:

          →   2x  =  800  ;

Now, divide Each Side of the equation by "2" ;

     to isolate "x" on one side of the equation ;

      & to solve for "x" ;  as follows:

          →   2x / 2  =  800 / 2  ;

          →     x  =  400 .

____________________________________________

The answer is:  " 400 " .

____________________________________________

   →  20% of    400    is  80 .

__________________________________________________

Hope this is helpful to you!

        Best wishes in your academic pursuits

              — and within the "Brainly" community!

____________________________________________

Answer:

400

Step-by-step explanation:

20% of 400 is 80.

20% × x = 80

Multiply both sides by 100 and divide both sides by 20,.

x = 80 ×  100/20

x = 400

2. What is the formula for finding the horizontal distance between two points on a coordinate plane?

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{a}~,~\stackrel{y_1}{b})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{d})\qquad \qquad d = \sqrt{\underset{\underset{\textit{horizontal distance}}{\uparrow }}{( x_2- x_1)^2} + ( y_2- y_1)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{so in short is just }x_2-x_1[/tex]

One printing press can print the whole school newspaper in 12 hours, while another press can print in 18 hours. How long will the job take if both presses work simultaneously?

Answers

Answer:

7 Hours 12 Minutes

Step-by-step explanation:

So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.

Final answer:

When the two printing presses work together, they complete the job in 7.2 hours by adding their rates of work.

Explanation:

To solve how long it will take for two printing presses to complete a job when working simultaneously, one needs to add their individual rates of work. The first press can print the newspaper in 12 hours, and the second press can print it in 18 hours. Their rates are 1/12 and 1/18 newspapers per hour, respectively.

To find out how many newspapers per hour they can produce together, we simply add their individual rates:

1/12 newspaper per hour (first press) + 1/18 newspaper per hour (second press) = (1/12 + 1/18) newspapers per hour

Finding a common denominator, which is 36, we get:

(3/36 + 2/36) newspapers per hour = 5/36 newspapers per hour

Now, to find how long it takes for the combined presses to print one newspaper, take the reciprocal of the combined rate:

1 / (5/36) = 36/5 hours

Therefore, if both presses work together, they will complete the job in 7.2 hours.

what is the value of the ratio 18:21??

Answers

Answer:

18:21 is equivalent to 18/21. When you simplify 18/21, you get 6/7

Answer:

85.714285714286%

Step-by-step explanation:

i hope this helps, if you are looking for the percentage.

Factor this polynomial completely.
x^2-8x+12

Answers

Answer:

(x - 2) (x - 6)

Step-by-step explanation:

Factor the following:

x^2 - 8 x + 12

The factors of 12 that sum to -8 are -2 and -6. So, x^2 - 8 x + 12 = (x - 2) (x - 6):

Answer:  (x - 2) (x - 6)

The factors of the given polynomial are (x-6) and (x-2).

The given polynomial is x²-8x+12.

The factors are the polynomials which are multiplied to produce the original polynomial.

By splitting middle term method, we get

x²-6x-2x+12

x(x-6)-2(x-6)

(x-6)(x-2)

Therefore, the factors of the given polynomial are (x-6) and (x-2).

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ2

Using the quadratic Formula to solve 2x^3=4x-7 what are the values of x

Answers

Answer:

[tex]x=1(+/-)0.5i\sqrt{10}[/tex]

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]2x^{2}=4x-7[/tex]  

[tex]2x^{2}-4x+7=0[/tex]  

so

[tex]a=2\\b=-4\\c=7[/tex]

substitute

[tex]x=\frac{4(+/-)\sqrt{(-4)^{2}-4(2)(7)}} {2(2)}[/tex]

[tex]x=\frac{4(+/-)\sqrt{-40}} {4}[/tex]

Remember that

[tex]i=\sqrt{-1}[/tex]

[tex]x=\frac{4(+/-)2i\sqrt{10}} {4}[/tex]

[tex]x=1(+/-)0.5i\sqrt{10}[/tex]

What is the sum of the polynomials?
(8x2-9y2-4x)+(x2-3y2–7x)
7x2 - 6y2 + 3x
9x2 - by2+3x
9x2 - 12y2 + 3x
9x2 - 12/2 - 11x

Answers

Add the like terms:

8x2+x2=9x2

-9y2-3y2=-12y2

-4x-7x=-11x

Combine each term:

9x2-12y2-11x

Hope this helps!!

The sum of the polynomial will be,9x²-6y²-11x. Option B is correct.

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients. Variables are sometimes known as unknowns.

We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

⇒(8x²-9y²-4x)+(x²-3y²–7x)

⇒9x²-6y²-11x

The sum of the polynomial will be,9x²-6y²-11x.

Hence, option B is correct.

To learn more about polynomials, refer:

https://brainly.com/question/17822016

#SPJ2

Write the expression in standard form
[tex]\frac{7}{3-15i}[/tex]

Answers

Answer:

7/78 - 35/78i

Step-by-step explanation:

A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:

a + bi

For the expression, 7/ 3-15i

(7/ 3-15i) (3+15i)

21 - 105i / (234)

7/78 - 35/78i

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution. 20 ≤ x + 15 ≤ 55 5 ≤ x ≤ 40; Walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40; Walter needs to make less than 5 more cookies or more than 40. 35 ≤ x ≤ 70; Walter needs to make at least 35 more cookies but no more than 70. 35 ≥ x ≥ 70; Walter needs to make less than 35 more cookies or more than 70.

Answers

Answer: First Option

Walter needs to make at least 5 more cookies but no more than 40

[tex]5 \leq x \leq 40[/tex]

Step-by-step explanation:

If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:

[tex]x +15[/tex]

Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.

[tex]x + 15 \geq20[/tex] and [tex]x + 15 \leq55[/tex]

This is:

[tex]20 \leq x + 15 \leq 55[/tex]

We solve the inequality for x.

[tex]20-15 \leq x + 15-15 \leq 55-15\\\\5 \leq x \leq 40[/tex]

Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40

Answer: It is A

Step-by-step explanation:

If 2/5 ÷ 7/9= N then N is between?

Answers

[tex]\bf \cfrac{2}{5}\div\cfrac{7}{9}=N\implies \cfrac{2}{5}\cdot \cfrac{9}{7}=N\implies \cfrac{18}{35}=N\implies 0.514\approx N \\\\[-0.35em] ~\dotfill\\\\ \boxed{0}\rule[0.35em]{10em}{0.25pt}\stackrel{N}{0.514}\rule[0.35em]{9em}{0.25pt}\boxed{1}[/tex]

Other Questions
Germany invaded what country to start ww2 Find each product or quotient. Use significant digits.0.0505 m X 665 m A classmate is sending hurtful messages such as "You're stupid" and "You're ugly." This behavior can be described as denigration harassment cyberstalking exclusion Select the correct answer. Which system of equations can be represented by this matrix? Compute the permutation. 8 P 4 32 1,680 6,720 Rewrite the function by completing the square.f(x) = x2 10x + 44+f(x) = (x+ What did members of the American counterculture in the late 1960s and early 1970s protest? Which physical law states that all orbits are conic sections? Shirts cost $20 each and ties cost $12 each. Write an expression for the cost of s shirts and tties.20 + 12 Which germ layer develops into bones, kidneys, bladder, ovaries or testes, blood, and muscles, including the heart? A. Mesoderm B. Ectoderm C. Blastula layer D. Endoderm Mary's manager told her she should insert a graphic into her documentWrite Mary a brief note describing how to insert a graphicin a word processing document. El sof esta _____________________ de la ventana.a.detrsb.enfrente Select the correct text in the passage.Which line in this excerpt from Lord Byron's "She Walks in Beauty" uses alliteration? Who defeated the mongols? Evaluate b^2 for b=9 An object is thrown vertically upward at 27.1 m/s. The velocity of the object 3.4 seconds later is ____ m/s. Round your answer to the nearest tenth. Do not use scientific notation. Take up as positive and down as negative. What role did new technologies play in setting the stage for the Industrial Revolution? A. They caused great controversies by challenging religious teachings. B. They inspired a more rational approach to society and economics. C. They challenged the rule of absolute monarchy for the first time. D. They made it possible to produce goods more quickly and efficiently. The four folded parts of an envelope are opened up to create this figure. What is the surface area of one side of the unfolded envelope?A. 25 square centimetersB. 37 square centimetersC. 50 square centimetersD. 64 square centimeters In the poem "Barbara Frietchie," what caused a shade of sadness to come over Jackson?OBarbara displayed the rebel flag for Jackson's men to see.Jackson ordered his soldiers to fire on the flag in the attic.Barbara asked Jackson's men to aim toward her, not the flag.Jackson remembered that he was riding toward a battle. Choose the sentence in which the passive voice is used. A. A path of destruction was left by the twister. B. Deepak slammed on the brakes as the car sped downhill. C. The show's long run surprised the critics.