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Gekata [30.6K]
3 years ago
9

ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,

-5), B = (2, 1), and C = (14, 17 ), what is the length of B'C'? Select one: a. d = 15.25 b. d = 20 c. d = 5 d. d = 15
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

  c.  d = 5

Step-by-step explanation:

The difference in coordinates B and C is (14, 17) -(2, 1) = (12, 16). When the figure is scaled by 0.25, that difference becomes ...

  0.25(12, 16) = (3, 4)

The length of a line segment with those coordinate differences is ...

  d = √(3² +4²) = √25 = 5 . . . . matches selection c.

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What is an equation of the line that passes through the points (-3,-1) and
NARA [144]

The equation of line that passes through the points (-3,-1) and

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Step-by-step explanation:

Given points are:

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The slope-intercept form of equation of line is:

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We have to find the slope first

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To find the value of b, putting the point (-3,-1) in the equation

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The equation of line that passes through the points (-3,-1) and

(-6,3) is:

y=-\frac{4}{3}x-5

Keywords: Equation of line, slope intercept form

Learn more about equation of line at:

  • brainly.com/question/4703807
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This table gives a few (x,y) pairs of a line in the coordinate plane
blagie [28]

Answer:

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Step-by-step explanation:

step 1

Find the slope of the lime

Take the points

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The formula to calculate the slope between two points is equal to

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substitute the values

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step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=3.6

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substitute

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step 3

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we know that

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so

For y=0

substitute in the equation and solve for x

0-36=3.6(x-22)

0-36=3.6x-79.2

3.6x=79.2-36

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x=12

therefore

The x-intercept of the line is the point (12,0)

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