You would use the method butterfly method so cross divide
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
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Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
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The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Answer: b) 180° rotation & reflection over x-axis
<u>Step-by-step explanation:</u>
Rotation of 180° changes the signs of both x and y.
(x, y) → (-x, -y)
Reflection over the x-axis changes the sign of y.
(-x, -y) → (-x, y)
<u> (x, y) </u> <u> (-x, y) </u>
(0, 1) → (0, 1)
(1, -1) → (-1, -1)
(5, 3) → (-5, 3)
Answer:
51
Step-by-step explanation:
39+3(4)=39+12=51
Answer:
2(pi)r=C
Step-by-step explanation: