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

hypotenuse = 8

unknown leg = b

known leg = 4

Pythagorean theorem:

[tex]c=\sqrt{{a}^{2}+{b}^{2}}[/tex]

The answer is

[tex]8=\sqrt{{b}^{2}+{4}^{2}} [/tex]

Answer:

its A :(

Step-by-step explanation:

Answer:

imaginary root

Step-by-step explanation:

7x^2 + 3 = 8x

Subtract 8x from each side

7x^2 -8x+ 3 = 8x-8x

7x^2 -8x+3 =0

This is in the form ax^2 +bx+c

The discriminant is b^2 -4ac

a=7 b=-8 c=3

b^2-4ac  = (-8)^2 -4(7)(3) = 64 - 84 = -20

Since this is negative, we have imaginary roots

Answer: option b

Step-by-step explanation:

It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:

[tex](x,y)[/tex]→[tex](-x,-y)[/tex]

Therefore, given the point (1, -6) we can find the image obtained for  for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.

Then, the image is:

 [tex](1,-6)[/tex]→[tex](-(1),-(-6))=(-1,6)[/tex]

Answer:

The correct answer option is b. ( -1, 6).

Step-by-step explanation:

We are given a point which is rotated 180 degrees counterclockwise about the origin (0, 0). We are to find the coordinates of the image of this point after the rotation.

The rule for rotating a point 180 degrees counterclockwise is:

(x, y) ---> (-x, -y)

So for the given point, the coordinates of the image will be:

(1, -6) ---> (-1, -(-6)) ---> (-1, 6)

Answer:

Pretend that x and y represents the 2 numbers that we need to find.

According to the information, we know that:

x + y = 21

6x = y

Replace y in the first equation with 6x (because they are equal to each other according to the second equation):

x + y = 21

x + 6x = 21

7x = 21

x = 21/7 = 3

Now have two ways to find y, both will give us the same result:

3 + y = 21 ⇔ y = 21 - 3 = 18

6 · 3 = y ⇔ y = 18

So the numbers that we need to find are 3 and 18.

Answer:

3 and 18.

Step-by-step explanation:

If one number is x then the other is 6x.

So, x + 6x = 21

7x = 21

x = 3.

The other number is 21 - 3 = 18.

Answer:

7 billion

Step-by-step explanation:

Rounding decreqases when number is under 5 and if its above (Ex, 7,685,000,000) it is rounded to 8 billion. But here, it is under 5 so it is 7 billion.

Answer:

7,000,000,000

Step-by-step explanation:

Note the Billions place value. 7 is in the billions place value. To find out if you round up or down, look at the place value directly to the right of the one you are trying to find, in this case, being the hundred million place value. The value inside the hundred million place value is a 1.

Note that the number has to be 5 or greater to round up, or else you round down. Because 1 < 5, you round down.

7,125,000,000 rounded to the nearest billion is 7,000,000,000.

~

Answer:

21.16

Step-by-step explanation:

First find the tax

16.40 * 9%

16.40 *.09 = 1.476 = 1.48

Then we need to find the tip

16.40 *20%

16.40 *.20 = 3.28

The total is the bill  plus tax plus tip

16.40 + 1.48 + 3.28

21.16

Answer:

180+69=249

I got 180 from the ABC, that is half the circle then + the 69

Answer(6,1)

Step-by-step explanation:

you need to use the midpoint formula

Answer:

Option B: y = 9x - 10.

Step-by-step explanation:

General equation of a straight line in the 2-D plane is given by:

y = mx + c; where m is the slope and c is the y-intercept.

The given equation of the line is y = 7x - 14; where m=7 and c=-14.

To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.

To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!

Answer:

1. 5

2. 13

3. 25

4. 7

Step-by-step explanation:

|-5|=5

|13|=13

|25|=25

|7|=7

Answer:

3 x^2 (x^2 + 2 x + 3)

Step-by-step explanation:

Factor the following:

3 x^4 + 6 x^3 + 9 x^2

Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.

Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:

Answer:  3 x^2 (x^2 + 2 x + 3)

[tex]A'=(2-5,-1+3)=(-3,2)[/tex]

Answer:

[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]

Answer:

The radius of the circle is 14 inches.

Step-by-step explanation:

How is the circumference of a circle related to its radius?

[tex]\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})[/tex].

In brief,

[tex]\text{Circumference} = 2\pi\times \text{Radius}[/tex].

For this question,

Divide both sides of the equation by [tex]2\pi[/tex]:

[tex]\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}[/tex].

[tex]\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14[/tex].

In other words, the radius of this circle is 14 inches.

By using the concept of slope of a Straight line,we arrive to the conclusion that the equation of line through (2,-4) and having slope off 3/5 is  y = - (1/2)x - 26/5.

The slope of this Straight line is given as=3/5

Thus,the equation of the straight line becomes y=(3/5)x [tex]+[/tex]c.

Now,if substituting the Slope of the line in the equation of this line.

y=(3/5)x [tex]+[/tex]c.

In the point(2,-4):

-4=(3/5)(2) [tex]+[/tex] c

-4=(6/5) [tex]+[/tex] c

c=-4-(6/5)

  = - 26/5

Therefore, the final equation is y= - (1/2)x - 26/5

To learn more about Straight line,

brainly.com/question/31693341

Answer:

[tex]20x^{11}[/tex]

Step-by-step explanation:

An expression in algebra that contains one term is called a monomial.

These include numbers, whole numbers and variables that are multiplied together.

Any number, a whole number without variables can also be monomial, like 32, 5236 etc.

So, here the monomial is [tex]20x^{11}[/tex].

Option (A) represents a monomial which has only one term option (A) 20x¹¹ is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

As we know in the monomial there will be only one term.

Option (C) and Option (D) contains two terms so they are not monomial.

Option (B) contain fractional term.

Thus, option (A) represents a monomial which has only one term option (A) 20x¹¹ is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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Answer:

The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law

Step-by-step explanation:

-4(3-5x)>-6x+9

We need to solve the above inequality

The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law

(-4*3) (-4*-5x) >-6x+9

-12 +20x >-6x+9

-12 + 20x >-6x+9

The next step will be to add +12 on both sides

-12 + 20x +12 >-6x+9+12

20x  >-6x+21

The next step will be to add +6x on both sides

20x +6x  > -6x+21 +6x

26x > 21

x > 21/26

Answer:

A: y+4=4(x+3)

Step-by-step explanation:

Point-Slope Formula:

y-y1=m(x-x1)

Substitute:

y-(-4)=4(x-(-3))

-(-)=+

P: y+4=4(x+3)

Answer:

1) binomial

2) monomial

Step-by-step explanation:

mono-think one

bi-think two

tri-think thee

poly-1 or more

So 1 goes with binomial

and 2 goes with monomial

See if you can figure out 3 and 4

I can check them.

Answer: 1) x⁴ + 5x² + 12x - 31

              2) 3x³  -  x²  + 2

              3) 8x³ + x² + 3

Step-by-step explanation:

1) Line up like terms and add the coefficients of each term

 -5x⁴ + 6x²          - 43

+ 6x⁴ -  1x² + 12x + 12

    x⁴ + 5x² + 12x - 31

2) Line up like terms and add the coefficients of each term

   1x³ - 2x² + 4

+ 2x³ + 1x²  - 2

  3x³  -  x²  + 2

3) Line up like terms and add the coefficients of each term

   7x³  - 1x² + 1

+ 1x³ + 2x² + 2

   8x³ + x² + 3

Answer:

1372

Step-by-step explanation:

y=4(7)^3

You multiply 7x7x7 which gives you 343

Now you plug that in.

y=4(343)

Multiply it and you get

y=1372

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:

(f - g)(x) = (3x - 2) - (2x + 4)

(f - g)(x) = 3x - 2 - 2x - 4             combine like terms

(f - g)(x) = (3x - 2x) + (-2 -4)

(f - g)(x) = x - 6

Answer:

8

Step-by-step explanation:

to find the number of sides when you are given an exterior angle you divide 360 (because that's what all exterior angles equal) by the one exterior angle you were given. in this case 360/45=8

Answer:

8 sides

Step-by-step explanation:

because you use the formula for exterior angles; [tex]\frac{360}{n}[/tex], you plug in the number of sides in the denominator and then divide 360 by n

Answer:

0.4

Step-by-step explanation:

0.2 is too small,  and everything above 1.0 is too big, so by default, must be 0.4

Answer:

Step-by-step explanation:

[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]

Answer:

the answer you selected is correct

Step-by-step explanation:

this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two  

Answer:

Step-by-step explanation:

1176 - 168 =1008   1176 + 1008= 2134

hours:2134 = 3 weeks

hours: 1176 = 2 weeks

Answer: The Answer Is 4) Hope it Helps!

Step-by-step explanation: