The ball will hit the ground when h(t)=0 so:
16t^2-96t=0
16t(t-6)=0, since t>0
t=6
So the ball with hit the ground after 6 seconds.
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
Answer:
3 / 4
Step-by-step explanation:
Slope: y2 -y1 / x2 - x1
y2 - y1: 7-5: 3
x2 - x1: 1 - (-3) = 1 + 3 = 4
3/ 4 is the slope
Answer:
Step-by-step explanation:
Answer:
x=-3, y=-6. (-3, -6).
Step-by-step explanation:
-9x+7y=-15
-8x+y=18
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y=18-(-8x)=18+8x=8x+18
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-9x+7(8x+18)=-15
-9x+56x+126=-15
47x+126=-15
47x=-15-126
47x=-141
x=-141/47
x=-3
-8(-3)+y=18
24+y=18
y=18-24=-6
x=-3, y=-6.