2 years ago

2(5x-3) expanded using distributive property

Mathematics

1 answer:

nikdorinn [45]2 years ago

5 0

Answer:

10x-6

Step-by-step explanation:

First, you multiply 2 times 5x, which come out as 10x. Then, you multiply 2 times -3, which is -6. So 10x-6.

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write an equation for a circle with a diameter that has endpoints at (-4, -7) and (-2, -5). round to the nearest tenth if necess

andrezito [222]

Answer:

The answer to your question is (x + 3)² + (y + 6)² = 2

Step-by-step explanation:

Endpoints (-4, -7) and (-2, -5)

Process

1.- Find the length of the radius

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

d = $\sqrt{(-2 + 4)^{2}+ (-5 + 7)^{2} }$

d = $\sqrt{2^{2} + 2^{2} }$

d = $\sqrt{4 + 4}$

d = $\sqrt{8}$

Radius = $\frac{\sqrt{8} }{2}$ = $\sqrt{2}$

2.- Find the center

Xm = $\frac{-4 - 2}{2} = \frac{-6}{2} = -3$

Ym = $\frac{-7 - 5}{2} = \frac{-12}{2} = -6$

Center = (-3, -6)

3.- Write the equation

(x - h)² + (y - k)² = r²

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(x + 3)² + (y + 6)² = 2

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3 years ago

The area of a rectangle is x² + 3x – 28 and the width is x + 7. What is the length of the

g100num [7]

Answer:

X+4

Step-by-step explanation:

length times width = area

(X+7)(X-4) = x^2 +3x-28

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2 years ago

Twice a number is equal to 35 more than seven times the number. Find the number

amm1812

number - n

Twice a number - 2n

Seven times the number - 7n

2n = 7n +35

7n-2n = -35

5n = -35

n = - 7

Check:

2(-7) = 7(-7) +35

-14 = -49 + 35

-14 = -14 True

The number is (- 7).

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Step-by-step explanation:

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Fed [463]

5 boys play both hockey and volleyball (30-20-15=5)

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