Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0
1 answer:
The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.
<h3>What is an equivalent expression?</h3>The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
x² − 10x − 11 = 0
Then the equation can be written as
x² − 10x + 25 – 25 − 11 = 0
(x – 5)² = 36
Then the correct option is A.
The complete question is attached below.
More about the equivalent link is given below.
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Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.
<u>Plug in the values</u>
<u>Simplify and distribute</u>
<u>Add 2 to both sides</u>
Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.