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seropon [69]
1 year ago
8

A circle with the equation (x + 6)2 + (y + 3)2 = 16 is reflected over the line x = 2.

Mathematics
1 answer:
fomenos1 year ago
6 0

Answer: (x-10)^{2}+(y+3)^{2}=16

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is (x-10)^{2}+(y+3)^{2}=16.

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The lines p and q intersect at point O. What is the value of x? Enter your answer in the box. x = Lines p and q intersect at poi
Angelina_Jolie [31]

Answer:

x = 16

Step-by-step explanation

Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.

Hence 2x+13 = 3x-3

Collect like terms

2x-3x = -3-13

-x = -16

Multiply both sides by -1

-1(-x) = -1(-16)

x = 16

Hence the value of x is 16

6 0
2 years ago
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3<br> 5<br> y = mx + c<br> Find the value of y when m= -2, r = -7 and c= -3.
mario62 [17]

Answer:

<u>This assume the equation is 35y = mx + c, and that r is meant to be x.</u>

Step-by-step explanation:

35y = mx + c

35y = -2(-7) - 3

35y = 14 - 3

35y = 11

y = (11/35)

Please check the formatting of your question.

6 0
2 years ago
A pack of snack bars includes 2 blueberry bars, 3 chocolate bars, and 5 cherry bars. What is the ratio of the number of blueberr
scoundrel [369]

Answer:

2:5

Step-by-step explanation:

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4 0
2 years ago
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If $3,600 is invested at a rate of 2.4% that is compounded annually, how much will it be worth after 9 years?
Alex787 [66]
Amount after 9 years = 3600( 1 + 0.024)^9  =   $4456.58
7 0
3 years ago
Read 2 more answers
Find the area of the shaded region
ale4655 [162]

Answer:

379.56ft²

Step-by-step explanation:

Oh lordy why, okay we got this:

So we're going to start with the area of the square, this is easy because all of the sides are 25ft, so we just have to plug into our formula for squares (base x height):

25 x 25 = 625

Now we have to do the semicircle, remember that the formula for the area of a circle is pi x radius², we're using 3.14 for pi, so we have to find the radius (half the diameter):

25 ÷ 2 = 12.5

12.5² = 156.25

3.14 x 156.25 = 490.625‬

Normally we would stop here, but because this is only a semicircle, we have to divide by two:

490.625‬ ÷ 2 = 245.3125‬

So, now that we have our two areas, we have to subtract the semicircle from the square:

625 - 245.3125‬ = 379.6875‬

Now, I realize that his answer isn't in your cute little word bank, but that because I rounded pi, so the closest is 379.56

So, the area of the figure is 379.56ft²

if this is wrong let me know so I can fix it

hope this helps:)

5 0
3 years ago
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