Since 5=15/3
5^x = (15/3)^x = 15^x / 3^3
Choices A and D
20/20 in a mixed number would be 2 (whole number).
Answer:
the equation of the perpendicular bisector of segment AB is y = -2x + 7
Step-by-step explanation:
Going from B(-1, 4) to A(3, 6), x increases by 4 and y increases by 2. Thus, the slope of this line is m = rise / run = 2/4, or 1/2.
Any line perpendicular to the one joining A and B has a slope which is the negative reciprocal of 1/2: that'd be -2.
3 - 1 6 + 4
The midpoint of line segment AB is ( --------- , ---------- ), or (1, 5)
2 2
Thus, the perpendicular bisector passes through the midpoint (1, 5) and has slope -2:
Starting from y = mx + b, we get 5 = -2(1) + b, or 7 = b, and so the equation of the perpendicular bisector of segment AB is
y = -2x + 7
The graph of the function, g(x) = 1/3 f(x), is shown below. The correct option is A
<h3>Graph of functions </h3>
From the question, we are to determine the graph of the given function
The function we are to determine its graph is
g(x) = 1/3 f(x)
From the given information,
f(x) = x²
Thus,
We are to determine the graph of
g(x) = 1/3 x²
First, we will determine some points on the given function
Find g(x) when x = -3
g(x) = 1/3 x²
g(x) = 1/3 (-3)²
g(x) = 1/3 × 9
g(x) = 3
Find g(x) when x = 0
g(x) = 1/3 x²
g(x) = 1/3 (0)²
g(x) = 1/3 × 0
g(x) = 0
Find g(x) when x = 3
g(x) = 1/3 x²
g(x) = 1/3 (3)²
g(x) = 1/3 × 9
g(x) = 3
Using the points above, the graph of the function is shown below
Learn more on Graph of functions here: brainly.com/question/9525508
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