Which of the following options is an equivalent function to f(x) = 2(5)2x
1 answer:
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Answer:
1. √74; 2. (24.5, 21.5)
Step-by-step explanation:
1. Distance
You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.
Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).
Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.
2. Midpoint of line
The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.
For the x-coordinate, the half-way point is
(21 + 28)/2 = 49/2 = 24.5
For the y-coordinate, the half-way point is
(19 +24)/2 = 43/2 = 21.5
The coordinates of the midpoint M are (24.5, 21.5).
Answer:
Step-by-step explanation:
If you were to replace x with 0 in each of the equations, you would get
from top to bottom choices:
2
-2
Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer