3 years ago

What equation represents the line that passes through the points (-3 7 and (3 3?

1 answer:

3 0

Hello : let A(-3,7) B(3,3)
the slope is : (YB - YA)/(XB -XA)
(3-7)/(3+3) = -2/3
an equation is : y=ax+b a is a slope

y = (-2/3)x +b

the line through point B (3,3) : 3 = (-2/3)(3)+b
b =5
the equation is : y =(-2/3)x+5

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3 years ago

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Answer:

x = 15

Step-by-step explanation:

The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle. Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.

We are also told that the triangle's area is 75 units. With all of that put together, we can say:

$a = (10 * x) / 2\\75 = 5 * x\\x = 15$