Answer:
17
Step-by-step explanation:
6ft and 2 in === 74 in
4ft and 9 in === 57 in
74-57 = 17 in
The equation y = -0.04x + 12 gives the number of gallons of gas in your car where x is the number of miles drivene
easy
y=gas left
x=miles
sub 200 for x
y=-0.04(200)+12
y=-8+12
y=4
4 gallons left
Answer:
Step-by-step explanation:
Given
Required [Missing from the question]
G(T(x))
We have:
This implies that:
Substitute:
![G(T(x)) = 3[9(x + 6.9)]](https://tex.z-dn.net/?f=G%28T%28x%29%29%20%3D%203%5B9%28x%20%2B%206.9%29%5D)
Open bracket
L1: 2x+4y-3=0 ..........(1)
P: (2,0)
The point on the line L1 closest to the given point P is at the intersection of L1 with L2, which is the perpendicular passing through P.
Slope of L1=-2/4=-1/2
Slope of L2=-1/(-1/2)=2
Since it passes throug P(2,0), we can use the point-slope formula:
(y-0)=2(x-2) =>
L2: 2x-y-4=0.............(2)
Solve for x & y using (1) and (2) to get intersection point required:
(1)-(2)
2x-2x + 4y-(-y) -3 -(-4) =0
5y=-1, y=-1/5
Substitute y=1/5 in equation (1)
2x+4(-1/5)-3=0 =>
2x-19/5=0
x=19/10
=> the point on L1 closest to (2,0) is (19/10, -1/5)
Answer: 80 ft²
Step-by-step explanation:
The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.
(6 + 10) * 0.5 * 10 = 80 (ft²)
