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3 years ago

(-5,7) and (2,5) find the slope of the line passing through the given points

Mathematics

1 answer:

svp [43]3 years ago

6 0

Answer: -2/7

Step-by-step explanation:

To find the slope, you use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

$m=\frac{5-7}{2-(-5)} =\frac{-2}{7}=-\frac{2}{7}$

Now, we know the slope is -2/7.

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3 years ago

The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than th

Vitek1552 [10]

Given:

The height of the given trapezoid = 6 in

The area of the trapezoid = 72 in²

Also given, one base of the trapezoid is 6 inches longer than the other base

To find the lengths of the bases.

Formula

The area of the trapezoid is

$A=\frac{1}{2} (b_{1} +b_{2} )h$

where, h be the height of the trapezoid

$b_{1}$ be the shorter base

$b_{2}$ be the longer base

As per the given problem,

$b_{2}=b_{1} +6$

Now,

Putting, A=72, $b_{2}=b_{1}+6$ and h=6 we get,

$\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72$

or, $b_{1}+b_{1}+6 = \frac{(72)(2)}{6}$

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So,

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One base is 9 inches for one of the bases and 15 inches for the other base.

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