All categories

3 years ago

Find the scale factor for the dilation shown.

Mathematics

1 answer:

Archy [21]3 years ago

8 0

Answer:

Step-by-step explanation:

Point G is at (0,6) which is 6 away from 0,0. Point G' is at (0,18). Which is 19 away from 0,0. 18 is 3 times greater than 6, so the dilation is at a scale factor of 6.

You might be interested in

Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )

Aleksandr-060686 [28]

The equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

Center:

The center of the circle can be determined using the midpoint formula,

$Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

$Center=(\frac{-4-2}{2},\frac{9-3}{2})$

$Center=(\frac{-6}{2},\frac{6}{2})$

$Center=(-3,3)$

Thus, the center of the circle is (-3,3)

Radius:

The radius of the circle can be determined using the distance formula,

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the center (-3,3) and the endpoint (-4,9), we get,

$r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}$

$r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}$

$r=\sqrt{1+36}$

$r=\sqrt{37}$

Thus, the radius of the circle is $\sqrt{37}$

Equation of the circle:

The standard form of the equation of the circle is given by

$(x-a)^{2}+(y-b)^{2}=r^{2}$

where (a,b) is the center and r is the radius.

Substituting the values, we have,

$(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}$

$(x+3)^{2}+(y-3)^{2}=37$

Thus, the equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

7 0

3 years ago

What is the equation of the line that is perpendicular to the line 5x - 3y = 2 and passes through the point (-1.3)?

vovangra [49]

Answer:3/5 negative

Step-by-step explanation:

6 0

3 years ago

colton's gross pay id $1421.50 and his net pay is $973.48 what percent of his gross pay is take-home pay

myrzilka [38]

The answer is 68.5%

i hope this helps!

4 0

3 years ago

Solve: 10 sin^2(X) - 3sin(X) - 1 = 0

Svetlanka [38]

Answer:

(2u - 1)(5u + 1) =0

Step-by-step explanation:

The two subtractions in the equation means that it will be a plus and a minus and 10u would not get -3 nor -1

3 0

3 years ago

What I need to know in this question is the answer

RoseWind [281]

Answer:

1.180

2.50

3.56

Step-by-step explanation:

M<4,M<2 and M<5 have to add up to 180 as a result of being a parallel line.

Making m<2 50 since 46°+84=130, 180-130=50.

Since m<1 is 74 and knowing m<2 is 50 74+50=124 180-124=56 m<3=56

Therefore 1,2,3 =180°

4 0

3 years ago

Find the scale factor for the dilation shown. ​

Find the scale factor for the dilation shown.