If m=3 = what is the value of 3m?​

Answer:   A) [tex](x,y)\to(4x,4y)[/tex]

Step-by-step explanation:

The rule of dilating a shape by scale factor k centered at the origin is given by :-

[tex](x,y)\rightarrow (kx,ky)[/tex]  [We multiply k to the coordinates of pre-image ]

It means Option C) and D) is incorrect.

From the given graph , it can be observe that quadrilateral R'S'T'U' (image) is larger than the RSTU (pre-image) .

It means the scale factor should be greater than 1. [∵ Scale factor for enlargement is k>1]

Then, Option B is also incorrect.

Hence, the rule yields the dilation of the figure RSTU centered at the origin is given by option A)

i.e. [tex](x,y)\to(4x,4y)[/tex]

Answer:

B

Step-by-step explanation:

(x+2)(x^2+1)

=(x+2)(x+1)(x+1)

Answer:

( x + i)(x -i) ( x +2).

Step-by-step explanation:

Given  : x³ + 2x² +x +2.

To find :  complete factorization of the polynomial below.

Solution : We have given x³ + 2x² +x +2.

On taking common x² from first two terms and 1 from last two terms .

x² ( x +2) +1 (x +2).

On grouping

(x²  +1) ( x +2).

Now factor of (x²  +1) become ( x + i)(x -i) in complex form .

Factors are  ( x + i)(x -i) ( x +2).

Therefore,  ( x + i)(x -i) ( x +2).

Answer:

about 32.9

Step-by-step explanation:

By looking at the triangle, you can see that there is both an angle and a side provided. This allows you to use trigonometry (sin, cos, tan). You have to use tan to find the answer since it is used when you have either the opposite side or adjacent side and are solving for one of them. You take the tangent of the angle and set it equal to the opposite over the adjacent (see image attached).

I hope this helps.

Also sorry that the image is the wrong way, but it wouldn't let me attach it the right way.

QUESTION 1

Given a right triangle, the unknown side is opposite to the 35° angle.

The side adjacent to this angle is 47 units.

We use the tangent ratio to get:

[tex] \tan(35 \degree) = \frac{opposite}{adjacent} [/tex]

[tex] \tan(35 \degree) = \frac{x}{47} [/tex]

[tex] x = 47\tan(35 \degree)[/tex]

[tex]x = 32.9units[/tex]

to the nearest tenth.

QUESTION 2

The given angle is 47°

The opposite side is x units.

The adjacent side is 40 units.

We again use the tangent ratio to obtain:

[tex] \tan(47 \degree) = \frac{x}{40} [/tex]

[tex]x = 40\tan(47\degree) [/tex]

[tex]x = 42.9units \: to \: the \: nearest \: tenth[/tex]

Answer:

-8/5

Step-by-step explanation:

The thing that makes lines different from other kinds of curves is their constant rate of change. We call this rate of change slope, and you usually see it represented with the letter m. We measure it as the rate our y-coordinate changes for some amount our x-coordinate changes.

We're given the two points (-1, 4), and (4, -4). From that first point to the second one, our x-coordinate increases by 5, while our y-coordinate decreases by 8, so our change in y is -8 for every 5 in the positive x direction, and we'd write our slope as

m = -8/5

Answer:

1 3 5set/dhzhhhhhhhhhhhhhhhhhhh

The expression [tex]\(4^5/3\)[/tex] is indeed equivalent to[tex]\(\sqrt[3]{4^5}\)[/tex].

The correct option is (a).

To demonstrate that the expression[tex]\(4^5/3\) is equivalent to \(\sqrt[3]{4^5}\)[/tex], we can apply the following properties:

1. Radical to Exponent Property:

  - The expression [tex]\(\sqrt[3]{4^5}\) can be rewritten as \(4^{5/3}\)[/tex].

  - This property allows us to convert a radical expression to an exponent expression by raising the base to the reciprocal of the index of the radical.

2. Exponent to Radical Change Property:

  - The fraction exponent [tex]\(5/3\)[/tex] can be expressed as a radical: [tex]\(\sqrt[3]{4^5}\)[/tex].

down step-by-step:

1. Start with the given expression: [tex]\(4^5/3\)[/tex].

2. Apply the **Radical to Exponent Property: [tex]\[4^5/3 = 4^{5/3}\][/tex]

3. Now, express the fraction exponent as a radical:

[tex]\[4^{5/3} = \sqrt[3]{4^5}\][/tex]

Therefore, the expression [tex]\(4^5/3\)[/tex] is indeed equivalent to[tex]\(\sqrt[3]{4^5}\)[/tex].

Divide the number of black marbles by 10, the total number of marbles. If there is one black marble, the chances of choosing a black marble is 1/10.

Answer:

Speed = Distance ÷ Time

time = distance ÷ speed

Step-by-step explanation:

248 ÷ 55 * 60 = 270.54 minutes

First of all, you have to send the measurements; otherwise, there would not be an answer

Answer:

72

Step-by-step explanation:

Remember that 9! = 7! (8)(9)

write Substitute

7!(8)(9) for 9!

7!(8)(9)/ 7!= (8)(9)= 72

Answer: 72

Step-by-step explanation:

By definition, it is important to know that the factorial of a non-negative integer "n" is the product of all positive integers less than or equal to "n".  This is expressed with an exclamation symbol (!):

[tex]n![/tex]

Then, the rule for this is the following:

[tex]n! = n *(n-1)![/tex]

Therefore, knowing this, you can evalute [tex]\frac{9!}{7!}[/tex] as following:

 [tex]\frac{9*8*7*6*5*4*3*2*1}{7*6*5*4*3*2*1}=\frac{362,880}{5,040}=72[/tex]

Answer:

( 8.5 , 6.5 )

Step-by-step explanation:

Midpoint formula = ( x₁ + x₂ / 2 ) , ( y₁ + y₂ / 2 )

x₁ = 4

x₂ = 13

y₁ = 10

y₂ = 3

Midpoint = ( 4 + 13 / 2 ) , ( 10 + 3 / 2 )

Midpoint = ( 17 / 2 ) , ( 13 / 2 )

Midpoint = 8.5 , 6.5

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{x^2-9}{x^2-3x}[/tex]

Factorise the numerator/denominator

x² - 9 = (x - 3)(x + 3) ← difference of squares

x² - 3x = x(x - 3) ← common factor of x

The fraction simplifies to

[tex]\frac{(x-3)(x+3)}{x(x-3)}[/tex] ← cancel (x - 3) on numerator/denominator

= [tex]\frac{x+3}{x}[/tex]

Answer:

7. 5/6 8. 3/12

Step-by-step explanation:

5x^5•y^2 + 15x^2•y^3 + x^3•y^5

GCF = (x^2)(y^2)

The greatest common factor of the given polynomial is x²y².

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.

The given expression is 5x⁵y²+15x²y³+x³y⁵.

In the given expression, there are three terms 5x⁵y², 15x²y³ and x³y⁵

5x⁵y²=5×x×x×x×x×x×y×y

15x²y³=3×5×x×x×y×y×y

x³y⁵ =x×x×x×y×y×y×y×y

So, the common factor = x×x×y×y

= x²y²

Therefore, the greatest common factor is x²y².

To learn more about the greatest common factor visit:

brainly.com/question/11221202.

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the concept is to find the value of h

Answer:

it is an algebraic expression (answer is h = -2 )

Simplify the expression

−4h−6 + 15 = 17

(Combine Like Terms)

(−4h)+(−6+15)=17

−4h + 9 = 17

Step 2: Subtract 9 from both sides.

−4h + 9 − 9 = 17 − 9

−4h=8

Step 3: Divide both sides by -4.

[tex]\frac{-4h}{-4}[/tex] = [tex]\frac{8}{-4}[/tex]

h = -2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The triangle is being scaled down by a factor of 1/4.  So Q'R'S is smaller than QRS because the scale factor is less than 1.  Answer A.

Answer:\

The answer is A :) I took the assignment

Answer:

3/7

Step-by-step explanation:

its 3/7 because there are 3 weekend days and there are 7 days in total in one week, so out of the week there is 3 weekend days.

i hope this helps :)

The probability will be "[tex]\frac{1}{7}[/tex]". A further solution is below.

According to the question,

Number of days in a week,

Number of weekend,

Now,

The probability of you picking weekend day from the days of the week will be:

= [tex]\frac{Number \ of \ weekend}{Number \ of \ days \ in \ week}[/tex]

By substituting the values, we get

= [tex]\frac{1}{7}[/tex]

Thus the response above is appropriate.

Learn more about probability here:

https://brainly.com/question/22906880

Answer:

4069.44

Step-by-step explanation:

a=pie R squared

Question 1:

Substitution.

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

There is one solution

Question 7 is too confusing, just find where the points intersect at (-5,2).

Question 9:

Elimination.

(-1)y=2x+6

y=2x+2

New: -y=-2x-6

0=-4

No Solution

Question 11:

Just look at explanations.

It's (5,17) both lines etc..

Final answer:

The set of equations for Line A and Line B has one solution. The graph correctly represents the solution (-5, 2) if the lines intersect 5 units to the left and 2 units up. Equations C and D have no solution since the lines are parallel, and the solution to Lines C and D is (5, 17), with both lines passing through this point.

Explanation:

Question 1: To determine the relationship between Line A: x + y = 2 and Line B: 2x + y = 4, we can solve for y in both equations.

For Line A, y = 2 - x.

For Line B, y = 4 - 2x.

Since the coefficients of x are different in the two equations, and the y-intercepts are also different, the lines are not parallel nor identical. Therefore, they intersect at exactly one point, which means there is one solution to the set of equations.

Question 7: The coordinates of the solution is given as (-5, 2). Among the options, the one showing the lines intersecting at the point 5 units to the left and 2 units up represents the correct set of lines, so the graph that corresponds to this description contains the solution.

Question 9: Comparing the two equations: Equation C: y = 2x + 6 and Equation D: y = 2x + 2, we see that both have the same slope but different y-intercepts. Because they have the same slope but different y-intercepts, these lines are parallel and never intersect. Hence, there is no solution to this set of equations.

Question 11: To find the intersection point, we set the equations of Line C: y = x + 12 and Line D: y = 3x + 2 equal to each other and solve for x:

x + 12 = 3x + 2

Subtract x from both sides: 12 = 2x + 2

Subtract 2 from both sides: 10 = 2x

Divide by 2: x = 5

We then substitute x = 5 into one of the equations to find y:

For Line C: y = 5 + 12 = 17.

Hence, the solution to the set of equations is (5, 17), and both lines pass through this point, which lies between the two axes, but that is irrelevant to why it is the solution.

Answer:

[tex]\boxed{\text{\$2313.40}}[/tex]

Step-by-step explanation:

The tax rate is $3.78/$100 assessed

[tex]\text{Tax} = \text{\$61 200 assessed} \times \dfrac{\text{\$3.78}}{\text{\$100 assessed}}[/tex]

Cancel the $100 assessed.

612 × $3.78 = $2313.40

Angela's real estate tax will be [tex]\boxed{ \textbf{\$2313.40}}[/tex]

Answer:

x=-9

Step-by-step explanation:

5x+8-3x=-10

2x+8=-10

2x=-18

Divide both sides by 2 to get

Answer is -9

Answer:

2^ .3^.5  

Step-by-step explanation:

We need to obtain factors of 180 which are prime numbers

2^=4

3^=9

4.9.5 = 180

This answer would be C because I had worked out answer good

For this case, we look for the number of pencils per gram of rubber.

[tex]\frac {960} {5,376} = 0.178571428571[/tex]

0.178571428571 pencils per gram of rubber are made

We are looking for the number of pencils per hour.

[tex]0.178571428571 \frac {penc} {g} * 64,512 \frac {g} {h} = 11,520 \frac {pen} {h}[/tex]

Thus, 11,520 pencils per hour are made.

Answer:

Option C

Answer: [tex]x=7[/tex]

Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

[tex](5)(x+5)=(6)(6+4)[/tex]

Having this, we can find the value of "x" by solving for "x":

Applying Distributive property:

[tex](5)(x+5)=(6)(24)\\5x+25=60[/tex]

Subtract 25 from both sides of the equation:

[tex]5x+25-25=60-25\\5x=35[/tex]

And finally dviding both sides of the equation by 5, we get:

[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]

Answer:

35/5 it would be 35 over 5

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

the prime numbers (1-15 is the furthes i will go for this) are 2,3,5,7,11,13

as you can see the smallest two didget prime number is 11------------

I believe it’s B of joy them A

Answer:

A

Step-by-step explanation:

Got a 100

Answer:

[tex]\large\boxed{\dfrac{3s^2+19s-4}{(s-1)^2(s+5)}=\dfrac{3s^2+19s-4}{s^3+3s^2-9s+5}}[/tex]

Step-by-step explanation:

[tex]s^2-2s+1=s^2-s-s+1=s(s-1)-1(s-1)=(s-1)(s-1)=(s-1)^2\\\\s^2+4s-5=s^2+5s-s-5=s(s+5)-1(s+5)=(s+5)(s-1)\\\\\text{Therefore}\ LCD\ \text{is}\ (s-1)^2(s+5).[/tex]

[tex]\dfrac{3s}{s^2-2s+1}+\dfrac{4}{s^2+4s-5}=\dfrac{3s(s+5)}{(s-1)^2(s+5)}+\dfrac{4(s-1)}{(s-1)^2(s+5)}\\\\\text{use the distributive property}\\\\=\dfrac{(3s)(s)+(3s)(5)+(4)(s)+(4)(-1)}{(s-1)^2+(s+5)}=\dfrac{3s^2+15s+4s-4}{(s-1)^2(s+5)}\\\\=\dfrac{3s^2+19s-4}{(s-1)^2(s+5)}[/tex]

Answer:

39pi cm 3

Step-by-step explanation:

i just did the assingment

The composite figure is the combination of the two cones. The volume of the composite figure will be 39π cm³.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of the composite figure.

The composite figure is the combination of the two cones.

[tex]V = \dfrac{1}{3} \times \pi \times 3^2 \times 5 + \dfrac{1}{3} \times \pi \times 3^2 \times 8\\[/tex]

On simplifying, we have

V = 15π + 24π

V = 39π cm³

More about the geometry link is given below.

https://brainly.com/question/7558603

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Answer:

The length of the line segment is 13 units

Step-by-step explanation:

The line segment joining the two points is horizontal since the y co-ordinate is the same.

For a horizontal line, the length of the line segment is simply the difference between the x co-ordinate values.

In this case we have;

7 - (-6) = 7 + 6 = 13

Therefore, the length of the line segment is 13 units

Answer:

13 units

Step-by-step explanation:

We want to find the length  of the line segment with endpoints (-6,-8) and (7,-8).

Observe that, the y-coordinates are the same.

We can quickly use the absolute value method to find the required length.

According to this method the length of the line segment with endpoints (-6,-8) and (7,-8) is the absolute value of the difference between the x-values.

[tex]|7--6|=|7+6|=|13|=13[/tex]

The length of the line segment is 13 units.

i need a life fast plz

Answer:

[tex]m=0.002kg[/tex]

Step-by-step explanation:

The given formula is:

[tex]E=mc^2[/tex]

Divide both sides by [tex]c^2[/tex].

[tex]\implies \frac{E}{c^2}=\frac{mc^2}{c^2}[/tex]

Cancel out the common factors to get;

[tex]\implies \frac{E}{c^2}=m[/tex]

[tex]m=\frac{E}{c^2}[/tex]

When [tex]E=1.8\times10^{14}J[/tex] and [tex]c=300,000,000ms^{-1}[/tex], then

[tex]m=\frac{1.8\times10^{14}}{300,000,000^2}[/tex]

This simplifies to

[tex]m=0.002kg[/tex]

Answer:

Well we only have one star in our solar system so the Sun?

The sun is the biggest star. The sun is at the center of our solar system and is the nearest star to Earth. The sun is a huge ball of very hot, burning gas. The sun sends out heat and light into space.