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aleksley [76]
3 years ago
14

Rectangle ABCD has vertices A(1, 2), B(4, 2), C(1, - 2), and D(4, - 2). A dilation with a scale factor of 6 and centered at the

origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (24, 12)? Α' B' C' D'​
Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

Answer:

I'll show you the dilution of point A and you can figure out the answer

Step-by-step explanation:

not sure what level you are in at school. Since the dilation is about the origin, it very straight forward. Basically you multiply the scale factor by each coordinate of a given point.

so the dilated point for A is in the x direction 1x6 and in the y direction 2x6, resulting in A'= (6,12).

do this for each point and you will have the answer

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Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.
MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3><u>Solution</u>:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept

Comparing the given line equation y = 2x + 2 with y = mx + c,

We get slope "m" = 2

The slope of parallel lines are equal

Hence slope of the line which is parallel to y = 2x + 2 is also 2

Now let us find the equation of line with slope "m" = 2 and passes through point (-1, 3)

Substitute (x, y) = (-1, 3) in eqn 1 to find value of "c"

3 = 2(-1) + c

3 = -2 + c

c = 5

Now substitute "c" = 5 and m = 2 in eqn 1 to get equation of required line

y = 2x + 5

Thus the equation of line in slope intercept form is y = 2x + 5

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Which is the equation of the given line?
aleksley [76]
I believe this would be C. y= -3.
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