4 years ago

Can someone help me on this

Mathematics

1 answer:

Alex4 years ago

8 0

log₇ (50) - log₇ (5) = log₇ (50 ÷ 5)

log₇ ( $\frac{50}{5}$ ) = log₇ (10)

Answer: C

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Read 2 more answers

How to simplify (81^-0.25)^3

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(81^-0.25)^3 = ( 1 / (81^0.25) )^3

81^.025 is the 4th root of 81 which is 3 
Therefor 
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3 years ago

The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma

Amiraneli [1.4K]

In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

$x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
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x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20
$

The length of a side must be a positive number, so x=15.
The answer is C.

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