Answer:
x = -21
Step-by-step explanation:
-5/4x - 2 = -1/4x + 19
subrtact the slope( constant, mx) from both sides
subtract a y-int ftom both sides
divde both sides by the remaining slope(constant or mx)
<span>The distributive property is: a(b + c) = ab + ac. In this expression, the example would be 8(54 + 0) = (8 x 54) + (8 x 0). The cost of eight family passes is therefore equal to 8 x 54. $432 is the answer.</span>
6 + 2(x - 5) = -40 - 5(x - 3)
6 + 2x - 10 = -40 - 5x + 15
-4 + 2x = -25 - 5x
2x = -21 - 5x
7x = -21
x = -3
Answer:
Vertical angles = 81 degrees
Angle (4y-1) = 99 degrees
Linear pair = 81 + 99 = 180 degrees
Step-by-step explanation:
2x + 5 = 3x - 33 (vertical angles)
33+5 = 3x - 2x
38 = x
3(38) - 33 = 81 degrees
4y - 1 + 81 = 180 (linear pair angles)
4y = 180 - 80
y = 100/4
y = 25
4(25) -1 = 99 degrees
Answer:
The height of the football after 4 seconds is 80 feet.
Step-by-step explanation:
You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:
h(t) = -7*t²+48*t
To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:
h(4) = -7*4²+48*4
Solving, you get:
h(4) = -7*16+48*4
h(4) = -112+192
h(4)= 80
<u><em>The height of the football after 4 seconds is 80 feet.</em></u>
