Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
What happened in the first questions doesn't influence the final question, so the probability is simply 1/5 = 0.2
3x+y=−11
3x+y+−3x=−11+−3x(Add -3x to both sides)
y=−3x−11
2x+2y=−10
2x+2(−3x−11)=−10
−4x−22=−10(Simplify both sides of the equation)
−4x−22+22=−10+22(Add 22 to both sides)
−4x=12
−4x
−4
=
12
−4
(Divide both sides by -4)
x=−3
y=−3x−11
y=(−3)(−3)−11
y=−2(Simplify both sides of the equation)
Answer:
x=−3 and y=−2
D.(-3,-2)
Start at - 4 1/2 adding a positive value moves to the right. Moving to the right 3 1/4 the slope becomes -1 1/4
Answer: -1 1/4
