Answer:
t ∈ {1, 3}
Step-by-step explanation:
You want to find t such that ...
h = 27
27 = -8t^2 +32t +3 . . . . . . substitute the expression for h
24 = -8t^2 +32t . . . . . . . . . subtract 3
-3 = t^2 -4t . . . . . . . . . . . . . divide by -8
1 = t^2 -4t +4 = (t -2)^2 . . . . add 4 to complete the square
±√1 = t -2 . . . . . . . . . . . . . . take the square root
t = 2 ± 1 . . . . . . . . . . . . . . . . add 2
t = 1 or 3
The object is 27 ft off the ground at t = 1 and again at t = 3.
Answer:
A, g(x) = 7x + 5
Step-by-step explanation:
applying these translations to the parent function f(x) = x, we would get the following equation:
g(x) = 7x + 5
a vertical compression is written before the parent function (in this case f(x)=x), and a shift up is written next to the function. both of these are without parentheses
the answer would be A, g(x) = 7x + 5
Answer:
y = -7x + 2
Step-by-step explanation:
Answer:
Option C : ASA
Step-by-step explanation:
Side WS Lies between ∠W and ∠S
Side NT lies between ∠N and ∠T
Hence the theorem which supports the congruency of the two triangles
is ASA
Angle - Side - Angle