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.
1) 9x + 2 = x + 5 ---> 9x + 2 = 6
subtracted X from one side but not the other
2) 3(x-4) + 5 = 12 ---> 3x + 4 + 5 = 12
didn't distribute correctly: 3(x-4)
multiplied the X by 3 but not the -4
<h3>
Answer:</h3>
C. 4(x-3)-x
<h3>
Step-by-step explanation:</h3>
All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...
... 3(x +1) +9 = 4(x -3) -x
... 3x +12 = 3x -12
... 12 = -12 . . . . . <em>false</em>
There is no value of x that will make this true, hence NO SOLUTION.
_____
<em>Comment on the other choices</em>
3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.
Answer:
20
Step-by-step explanation:
Answer:
D) 45 ft
Step-by-step explanation:
The two triangles are shown below.
Given:
BC = 60 ft, CD = 24 ft and DE = 18 ft.
Since, the two triangles are similar, their corresponding sides are in proportion.
So, 
Now, consider the proportion of sides,
Therefore, the distance between A and B is 45 ft.
