we know that
if the exponential function passes through the given point, then the point must satisfy the equation of the exponential function
we proceed to verify each case if the point
satisfied the exponential function
<u>case A</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
not passes through the point 
<u>case B</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
passes through the point 
<u>case C</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
not passes through the point 
<u>case D</u> 
For
calculate the value of y in the equation and then compare with the y-coordinate of the point
so


therefore
the exponential function
passes through the point 
therefore
<u>the answer is</u>


Answer:
12 ft
Step-by-step explanation:
It is sometimes helpful to start from what you are given and see what develops.
Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:
- ΔALC is a 30°-60°-90° triangle, so you know its side ratios
- ∠LAB = 30°, so ΔALB is isosceles and AL = LB
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.
AL = 2 × (6 ft) = 12 ft
We know that AL = LB, so LB = 12 ft.
Answer:
it has to be 60
Step-by-step explanation:
4 x 15 = 60
Answer:
choice 3) area = 1188 in²
Step-by-step explanation:
area = 36 x 33 = 1188 in ²
Answer:
29 rungs
Step-by-step explanation:
In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.
Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.
From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4
Now, he climbed 18 rungs again, making x -4+18 = x + 14
This is equal to the topmost rung i.e the topmost rung is at a position x + 14
This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself
14+ 14 + 1 = 29 rungs