2 years ago

What is the center of the circle shown below

Mathematics

2 answers:

Alekssandra [29.7K]2 years ago

7 0

Answer: c

Step-by-step explanation:

Vikentia [17]2 years ago

3 0

Answer:

C. S

Step-by-step explanation:

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Select the equation that has the same solution as the equation below.<br> 5^(2x-5)= 125

Ahat [919]

The equation that has the same solution as $5^{(2x-5)} = 125$ is: C. $64 = 2^{(3x - 6)}$

<h3>How to Solve Equations having Exponents</h3>

To solve such, simplify the bases so that the base on the right equals the base on the left.
Then solve the equation for the variable.

Given:

$5^{(2x-5)} = 125\\\\5^{(2x-5)} = 5^3\\$

The bases will cancel out

2x - 5 = 3

Solve for x

2x = 3 + 5

2x = 8

x = 4

The solution of $5^{(2x-5)} = 125$ is 4.

Thus:

$64 = 2^{(3x - 6)}\\\\2^6 = 2^{(3x - 6)}\\\\6 = 3x - 6\\6 + 6 = 3x\\12 = 3x\\4 = x\\x = 4$

Therefore the equation that has the same solution as $5^{(2x-5)} = 125$ is: C. $64 = 2^{(3x - 6)}$

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What is the center of the circle shown below ​

What is the center of the circle shown below