Answer:
(x + 7)(x + 3).
Step-by-step explanation:
x^2 +10x + 21
21 = 7 * 3 and 10 = 7 +3
so the factors are
(x + 7)(x + 3).
The answer choice which is the characteristic of dilations comparing both segments is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image
<h3>Which answer choice compares segment E'F' to segment EF?</h3>
By consider the coordinates of the quadrilaterals EFGH and E'F'G'H' as given in the task content image, it follows that the coordinates are as follows;
- E(0, 1), F(1, 1), G(2, 0), and H(0, 0)
- E'(-1, 2), F'(1, 2), G'(3, 0), and H'(-1, 0)
Upon computation of the length of the segments, it follows that the two segments are in proportions. Hence, the answer choice which is correct is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Remark:
- A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
- A segment in the image has the same length as its corresponding segment in the pre-image.
- A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
- A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Read more on length of segments;
brainly.com/question/24778489
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The answer is :
<span>A. Always
Also </span>
<span>If
two equations have different slopes but equivalent y-intercepts, they
will have one solution and that will be the point where the y-intercept
is. If two equations have different slopes and different y-intercepts,
then there will be one solution where those two lines meet. If two
equations have the same slope but different y-intercepts, the lines will
be parallel, and there is no possible intersection point. And if two
equations have equal slopes and equal y-intercepts, these lines will
have an infinite amount of solutions, because if the equations are one
the same line, every single point on that line is a solution to the
system. </span>