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3 years ago

A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5

Mathematics

1 answer:

jeka57 [31]3 years ago

5 0

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

A = (1,-2) and B = (3,-2)

So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

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julia-pushkina [17]

Answer:

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3 years ago

PLEASE HELP.

solniwko [45]

recall that the radius is the distance from the center of a circle to any point on the circle.

we know the center is at -16,-14, and we know that -8,-8 is a point on the circle, so the distance between both must be the radius.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-16}~,~\stackrel{y_1}{-14})\qquad
(\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})\qquad \qquad
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
\stackrel{radius}{r}=\sqrt{[-8-(-16)]^2+[-8-(-14)]^2}
\\\\\\
r=\sqrt{(-8+16)^2+(-8+14)^2}\implies r=\sqrt{8^2+6^2}
\\\\\\
r=\sqrt{100}\implies \boxed{r=10}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \textit{equation of a circle}\\\\
(x- h)^2+(y- k)^2= r^2
\qquad
center~~(\stackrel{-16}{ h},\stackrel{-14}{ k})\qquad \qquad
radius=\stackrel{10}{ r}
\\\\\\\
[x-(-16)]^2+[y-(-14)]^2=10^2\implies \blacktriangleright (x+16)^2+(y+14)^2=100 \blacktriangleleft$

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3 years ago

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soldi70 [24.7K]

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3 years ago

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ira [324]

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3 years ago

Read 2 more answers

Find the coordinates of the midpoint of S(5,-8),T(10,18)

AlekseyPX

Midpoint of (x1,y1) and (x2,y2) is

((x1+x2)/2,(y1+y2)/2)

just average the x and y values

(5,-8) and (10,18)
((5+10)/2,(-8+18)/2)
(15/2,10/2)
(7.5,5)

the midpoint is (7.5,5)

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3 years ago