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First compute the component form of vector u by subtracting its initial values from terminal values. 18-1=17, 6-(-12)=18. So u=(17, 18). Since v points in the opposite direction, and has a magnitude three times that of u, we multuply the u by -3 and get v=(-3*17, -3*18)=(-51, -54).
Answer:
Step-by-step explanation:
75x + -300 = 25x + 200
Reorder the terms:
-300 + 75x = 25x + 200
Reorder the terms:
-300 + 75x = 200 + 25x
Solving
-300 + 75x = 200 + 25x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25x' to each side of the equation.
-300 + 75x + -25x = 200 + 25x + -25x
Combine like terms: 75x + -25x = 50x
-300 + 50x = 200 + 25x + -25x
Combine like terms: 25x + -25x = 0
-300 + 50x = 200 + 0
-300 + 50x = 200
Add '300' to each side of the equation.
-300 + 300 + 50x = 200 + 300
Combine like terms: -300 + 300 = 0
0 + 50x = 200 + 300
50x = 200 + 300
Combine like terms: 200 + 300 = 500
50x = 500
Divide each side by '50'.
x = 10
Simplifying
x = 10
Answer:
t = 3 seconds
Step-by-step explanation:
Here h(t) = -16t^2 + 144.
When the quarter hits the ground, its height will be 0 feet. Letting h(t) = 0 results in -16t^2 + 144 = 0, or 16t^2 = 144, or
144
t^2 = ------------ = 36/4 = 9 seconds^2
16
Therefore, the time, t, required for the quarter to hit the ground is t = √9, or t = 3 seconds
First you need to find the second base (b2) by plugging all the values into the area of a trapezoid formula.
A= 1/2 (b1+b2)h
After plugging it in you will find that b2= 21.3.
The questions is asking perimeter so you add all the sides together...
14.4+18.5+14.7+21.3= 68.9 ft
Hope it helps
Answer:930
Step-by-step explanation:
