Step-by-step explanation:
Question 2(Multiple Choice Worth 1 points)
(08.02 MC)
The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
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(4/5)/(2/3)=4/5*3/2=12/10=1 1/5
two fractions dividing is the same as two fractions multiplying with the second fraction flipped around
1 1/5 yards per second
Answer:
B x = sqrt(41)
Step-by-step explanation:
Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.
The base of each smaller right triangle is 4 units long (8/2 = 4).
The vertical leg is 5.
Use the Pythagorean theorem to find x.
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
16 + 25 = x^2
x^2 = 41
x = sqrt(41)
Answer: B x = sqrt(41)
2.0² * π = 12.56637...
12.56637... * 9.6 = 120.6371579...
120.6371579.. / π = 38.4
√38.4 = 6.196773354... --> the radius of circle A dialated by 9.6 = 6.2 cm