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o-na [289]
3 years ago
14

What are the x-coordinates of the solutions to this system of equations?. x2 + y2 = 100. y = x + 2. Select one:. a. 2 and 10. b.

10 and -2. c. 6 and -8. d. 6 and 8
Mathematics
2 answers:
Alla [95]3 years ago
4 0
To answer, substitute the value of y in the second equation to that of the first. 
                                  x² + (x + 2)² = 100
Simplification leads to,
                                  x² + x² + 4x + 4 = 100
                                    2x² + 4x + 4 = 100
                                     x² + 2x - 48 = 0
The roots of this equation are x = 6 and x = -8. Thus, the answer is letter C.
creativ13 [48]3 years ago
3 0

Answer:just took the test it’s C

Step-by-step explanation:

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The response variable in the study that Ann has done here can be said to be Time spent exercising.

<h3>What is a response variable?</h3>

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PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?
Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

<u><em>Explanation</em></u>

PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.

According to the graph, the coordinates of P is (-7, -2) and  Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: (\frac{x+2}{2},\frac{y+4}{2}) , which is actually at (-7, -2)

Thus.....

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So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)

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3 years ago
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