Answer:
y = -¼x
Step-by-step explanation:
If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.
Answer:
Step-by-step explanation:
The shaded area is the difference of areas of the rectangle and the square.
<u>Rectangle:</u>
- A₁ = (x + 10)(2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
<u>Square:</u>
- A₂ = (x + 1)² = x² + 2x + 1
<u>Shaded region:</u>
- A₁ - A₂ =
- 2x² + 25x + 50 - (x² + 2x + 1) =
- 2x² + 25x + 50 - x² - 2x - 1 =
- x² + 23x + 49
We don't know whether those two sides are both legs
of the right triangle, or if BC is the hypotenuse.
If AC and BC are both legs, then
AB = √ (AC² + BC²)
= √ (7² + 8²)
= √ (49 + 64) = √ 113 .
If BC is the hypotenuse of the right triangle, then
AB = √ (BC² - AC²)
= √ (8² - 7²)
= √ (64 - 49) = √ 15 .
The formula of an area of trapezoid:
We have:
Substitute:
The perimeter: