<span>The first three steps of completing the square to solve the quadratic equation x^2 + 4x - 6 = 0, are shown below.
step 1: x^2 + 4x = 6
step 2: x^2 + 4x + 4 = 6 + 4
step 3: (x + 2)^2 = 10
step 4: x + 2 = +/-sqrt(10)
step 5: x = sqrt(10) - 2, or x = -sqrt(10) - 2
so the steps are in order.</span>
Answer:
(
h
−
4
)
(
h
+
12
)
Step-by-step explanation:
I'm not even sure if this helps but it factored
Answer:
"The question cannot be answered without knowing the scale factor."
Step-by-step explanation:
<u>The complete question:</u>
<em>A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?</em>
- <em>It is the same line.
</em>
- <em>
It is another line parallel to y = 3x + 5.
</em>
- <em>
The image is not a line.
</em>
- <em>
The question cannot be answered without knowing the scale factor.</em>
<em />
A dilation, center at origin, with a scale factor of "k", will have a rule:
(x,y) = (kx,ky)
This basically means that the image after dilation will have the points kx and ky respectively.
If k ≠ 1, this means the image is parallel to the line y = 3x + 5
If k = 1, this means the image is same, it coincides with the line y = 3x + 5
<u><em>Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.</em></u>
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