a y-intercept is any point that has an x-value of 0. for example, the ordered pairs (0,6) and (0,-4) would both be considered y-intercepts since any point with an x-value of 0 overlaps with the y-axis.
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
where
L is the length
W is the width
we have
![A=8,364\ ft^2](https://tex.z-dn.net/?f=A%3D8%2C364%5C%20ft%5E2)
so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A
![8,364=(W+20)W](https://tex.z-dn.net/?f=8%2C364%3D%28W%2B20%29W)
solve for W
![8,364=W^2+20W\\W^2+20W-8,364=0](https://tex.z-dn.net/?f=8%2C364%3DW%5E2%2B20W%5C%5CW%5E2%2B20W-8%2C364%3D0)
solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L
![L=82+20=102\ ft](https://tex.z-dn.net/?f=L%3D82%2B20%3D102%5C%20ft)
therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Answer:
85.4
Step-by-step explanation:
first you have to find the radius before you find the area. so given the height, the radius is 11.3 meters. then, you need to find the area behind the arc, which is 85.4 meters/
Answer:
39
Step-by-step explanation:
g(x)= -2x+2 and f(x)= 3x^2+4
(g+f)(-3)
g(-3) = -2(-3) +2 = 6+2 =8
f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31
(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39