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Answer:
Step-by-step explanation:
<h3>Given</h3>
<h3>To find</h3>
- log6 15 in terms of a and b
<h3>Solution</h3>
<u>Rewrite the given</u>
- log9 2 = a ⇒ log2/log9 = a ⇒ 1/2*log2/log3 = a ⇒ log3 = 1/2*log2/a
- log5 4 = b ⇒ log4/log5 = b ⇒ log5 = 2*log2/b
<u>Rewriting the log6 15:</u>
- log6 15 = log15/log6= (log 5 + log3)/(log2 + log3)
<u>Substitute as follows:</u>
- (log 5 + log3)/(log2 + log3) =
- (2*log2/b + 1/2*log2/a)/(log2 + 1/2*log2/a) =
- (2/b + 1/(2a))/(1 + 1/(2a)) =
- (4a + b)/2ab ÷ (2a + 1)/2a =
- (4a + b)/(2ab + b)
24 spaniels and 6 boxers, if you multiply 6 by 4 you get 24 and then you have six dogs left over.
7^2 + 6^2 = h^2
49 + 36 = h^2
85 = h^2
√85 = h
h = 9.21m
Answered by Gauthmath must click thanks and mark brainliest
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
