The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)
How to partition a Line segment?
The formula to partition a line segment in the ratio a:b is;
(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]
We want to find point G on AB such that the ratio of AG to GB is 3:2.
From the graph, the coordinates of the points A and B are;
A(3, 5) and B(5, 0)
Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;
G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]
G(x, y) = (21/5, 10/5)
G(x, y) = (4.2, 2)
Read more about Line segment partition at; brainly.com/question/17374569
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Answer:
5x + 2/3 = 1 3/4 / Leo spent 13 minutes at each machine.
Step-by-step explanation:
There are 5 weight machines. Leo spent a equal amount of time at each weight machine, but we don't know how much time. (5x) We then learn that he spent 2/3 of his time on the treadmill. (5x + 2/3) Leo spent 1 3/4 hours at the gym. (5x + 2/3 = 1 3/4) Now that we have our equation, all that's left to do is solve for x. Change your fractions into numbers. (5x + 40 = 105) After solving for x, you will determine that Leo spent 13 minutes at each machine.
Answer:
-9,-4
Step-by-step explanation:
Domain restrictions are what x values make the denominator zero.
a² + 5a - 36 = (a + 9)(a - 4)
a ≠ -9 ; a ≠ 4
let's recall the vertical line test, if a vertical line hits the graph or points twice, then is NOT a function. Check the picture below.
