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3 years ago

A triangle has an area of 234.4 square feet and a height of 16 feet. what is the length of the base?

1 answer:

4 0

The area of a triangle:
$A_\Delta=\dfrac{bh}{2}$
We have:
$A_{\Delta}=234.4\ ft^2.\\\\h=16\ ft.$
substitute:
$\dfrac{16b}{2}=234.4\\\\8b=234.4\ \ \ |:8\\\\b=29.3\ ft.$
Answer: 29.3 ft.

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Fill in the blank to make a true equation. (-9)(___) = 36 A. - 4 B. 4 C. 6 D. - 6

Artyom0805 [142]

Answer:

Option A, -4

Step-by-step explanation:

<u>Step 1: Make an equation to represent the problem</u>

(-9)(x) = 36

<u>Step 2: Solve for x by dividing both sides by -9</u>

-9x / -9 = 36 / -9

x = -4

Answer: Option A, -4

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2 years ago

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Write the equation of a line that passes through the points (−3, 7) and (3, 3)

Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of $y -a = m(x -b)$ where $(b,a)$ is the coordinates of a point that's on the line and $m$ is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose $(-3,7)$ where $a = 7$ and $b = -3$

$y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)$

The next thing we have to do now is finding the slope, $m$ , where it's equal to $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\$ . I'll make $(-3,7)$ point 1 and $(3,3)$ point 2.

$m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}$

Now let's plug that to our equation.

$y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)$

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

$y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5$

<h3>Answer:</h3>

$y = -\frac{2}{3}x +5\\$ is your equation.

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2 years ago