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grandymaker [24]

2 years ago

7

What is the length of the longest side of a triangle that has vertices at (-4,2), (-4,5), and (3,2)

1 answer:

Leto [7]2 years ago

3 0

That length is the distance between (-4, 5) and (3, 2), computed using the Pythagorean theorem as
.. √((5 -2)^2 +(-4-3)^2) = √(9+49)
.. = √58
.. ≈ 7.616

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2 years ago

C=-7/15 and x=2/5 c-4x write your answer in simplest form

pogonyaev

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Answer:

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Step-by-step explanation:

Put the numbers in the expression and do the arithmetic.

$c-4x=-\dfrac{7}{15}-4\cdot\dfrac{2}{5}=-\left(\dfrac{7}{15}+\dfrac{8}{5}\right)\\\\=-\left(\dfrac{7}{15}+\dfrac{24}{15}\right)=\boxed{-\dfrac{31}{15}}$

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FromTheMoon [43]

Option C: $\frac{4}{5}$ is the slope of the line

Explanation:

The line passes through the points $(3,-1)$ and $(-2,-5)$

We need to find the slope of the line.

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Where the coordinates $(x_1,y_1)$ and $(x_2,y_2)$ are $(3,-1)$ and $(-2,-5)$

Let us substitute the points in the formula

Thus, we have,

$m=\frac{-5-(-1)}{-2-3}$

Simplifying, we get,

$m=\frac{-5+1}{-2-3}$

Adding the numerator and denominator, we have,

$m=\frac{-4}{-5}$

Cancelling the negative terms, we get,

$m=\frac{4}{5}$

Thus, the slope of the line is $m=\frac{4}{5}$

Therefore, Option C is the correct answer.

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Since B is the corner below A, it would take a 90 degree rotation fr A to map on B.

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