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)
80/120, divide both numbers by 40.
2/3
Answer:
Let x be the first piece, y the 2nd, Z the 3rd
You know all of the pieces together make 24 thus,
24 = x + y + z
The second piece is 2 times longer than the 1st so,
y = 2x
The 3rd is 5 times longer
z = 5x
Replace them in the equation of the beginning
24 = x + 2x + 5x
24 = 8x
x = 3 (First piece)
y = 6 (Second Piece)
z = 15 (Third Piece)
2 x 19.6 = ?
2 x 29.4 = ?
2 x 576.24 = ?
After you find all of those answers, add them up and you'll get your answer. : )
Answer: -4/7
Step-by-step explanation:
To find the slope, let's change the equation to slope-intercept form.
[subtract both sides by 4x]
[divide both sides by 7]

Now, we know the slope is -4/7.