Answer:
20 m
Step-by-step explanation:
the distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
The midpoint of the line having the endpoints
![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
and
![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
is
![(\frac{x_{1}+_x_{2}}{2}, \frac{y_{1}+_y_{2}}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_%7B1%7D%2B_x_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2B_y_%7B2%7D%7D%7B2%7D%29)
basically average them
so given that the line has the endpoints of (-3,7) and (9,-2)
x₁=-3
y₁=7
x₂=9
y₂=-2
so the midpoint can be found by doing
![(\frac{-3+9}{2}, \frac{7+(-2)}{2})=](https://tex.z-dn.net/?f=%28%5Cfrac%7B-3%2B9%7D%7B2%7D%2C%20%5Cfrac%7B7%2B%28-2%29%7D%7B2%7D%29%3D)
![(\frac{6}{2}, \frac{7-2}{2})=](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B2%7D%2C%20%5Cfrac%7B7-2%7D%7B2%7D%29%3D)
![(3, \frac{5}{2})](https://tex.z-dn.net/?f=%283%2C%20%5Cfrac%7B5%7D%7B2%7D%29)
the midpoint is
Answer:
B. y = -5x -2
Step-by-step explanation:
Fill in the given values in the form ...
y = (slope)x + (y-intercept)
y = -5x +(-2)
y = -5x -2 . . . . simplify; matches choice B