When you see the equals sign with a squiggly line on top, you know that the items on each side of the equation are congruent. Next, name the corresponding sides. Corresponding sides are matching sides between two triangles. They will have the same length in congruent triangles

5 0

2 years ago

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Write the quadratic equation y=x^2-6+7 in vertex form

antoniya [11.8K]

Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2

7 0

3 years ago

Which of the following are solutions to the equation below? check all that apply. 9x^2-6x+1=7

Evgesh-ka [11]

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation <span>9x^2 - 6x - 6 = 0

Then we will use the quadratic formula to find the answers.

</span>using the Quadratic Formula where:
a = 9, b = -6, and c = -6

and the formula is 6 +- $\sqrt{6^2 - 4(9)(-6)}$ / 2(9)

6 0

3 years ago

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Three times the sum of the numbers x and 5 is 21.

MrRissso [65]

3 (x+5)=21 is the answer

7 0

3 years ago