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Novosadov [1.4K]
3 years ago
15

A triangle is dilated by a scale factor of n =1/3 . Which statement is true regarding the dilation

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0
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Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1
natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(-5-(-2))^2+(3-1)^2}

r=\sqrt{(-5+2)^2+(2)^2}

r=\sqrt{(-3)^2+(2)^2}

On further simplification, we get

r=\sqrt{9+4}

r=\sqrt{13}

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and r=\sqrt{13}.

(x-(-2))^2+(y-1)^2=(\sqrt{13})^2

(x+2)^2+(y-1)^2=13

Therefore, the equation of the circle is (x+2)^2+(y-1)^2=13.

8 0
3 years ago
R÷10+4=5 what does R euqe .
mrs_skeptik [129]
R=10 
because 10 divided by ten =1 +4 =5
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3 years ago
What are the steps to this?
Evgen [1.6K]

Answer:

B=112

Step-by-step explanation:

Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112

4 0
3 years ago
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Krutika was thinking of a number. Krutika adds 4 to it, then doubles it and gets an answer of 83.9. What was the original number
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Answer:37.95

Step-by-step explanation:

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Jerome deposits $4,700 in a certificate of deposit that pays 6 1/2% interest, compounded annually. How much interest does Jerome
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$305.5

Step-by-step explanation:

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