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3 years ago

Help! Geometry! 5(x-2) = -2(x+6)

Mathematics

1 answer:

Vanyuwa [196]3 years ago

3 0

Answer:

x= −2/7

i loveeeee mathhhhh have a great day :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(x−2)=−2(x+6)

(5)(x)+(5)(−2)=(−2)(x)+(−2)(6)(Distribute)

5x+−10=−2x+−12

5x−10=−2x−12

Step 2: Add 2x to both sides.

5x−10+2x=−2x−12+2x

7x−10=−12

Step 3: Add 10 to both sides.

7x−10+10=−12+10

7x=−2

Step 4: Divide both sides by 7.

7x/7=−2/7

x=−2/7

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(x+7)^2 + (y+4)^2 = 6^2

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Step-by-step explanation:

We can write the equation of a circle in the form

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

(x--7)^2 + (y--4)^2 = 6^2

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3 years ago

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Step-by-step explanation:

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3 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

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So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

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