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3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(10,1) and K(4,7)

Mathematics

1 answer:

zvonat [6]3 years ago

6 0

Hey.
The answer is (7,4).
The change of x is -6. Divide that by two(=-3) and add it to the first x-coord and you get 7.
Do the same for your y-value(change =+6/2= +3) and you'll get 4.

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2 years ago

A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

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Answer:

$x^3+x^2-5x+28$

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses $\left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4$

2. apply +(-a)=-a rule $x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4$

3. Simplify

Steps to simplify:

$x^2x=x^3$

$3xx=3x^2$

$3\cdot \:4x=12x$

$7\cdot \:4=28$

$x^3+4x^2-3x^2-12x+7x+28$

4. Add like terms $=x^3+4x^2-3x^2-5x+28$

5. Add like terms $=x^3+x^2-5x+28$

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2 years ago

Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What wa

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Answer:

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Let b represent the bonus amount.

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