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3 years ago

Find an equation of the circle that has center(-3,4) and passes through(1,-2)

Mathematics

1 answer:

Yuliya22 [10]3 years ago

7 0

Answer:

(x +3)^2 +(y -4)^2 = 52

Step-by-step explanation:

The standard form equation of a circle with center (h, k) and radius r is ...

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

We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...

(x +3)^2 +(y -4)^2 = r^2

Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:

(1 +3)^2 +(-2 -4)^2 = r^2

16 +36 = r^2 = 52

The equation of the circle is ...

(x +3)^2 +(y -4)^2 = 52

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How many square feet of outdoor carpet will we need for this hole?

kogti [31]

6+6+2 = 14

6 + 6 + 4 + 2 = 18

18+14 = 32

The answer is 32.

Hope this helps!

4 0

3 years ago

Read 2 more answers

Hi!

WARRIOR [948]

D

Radius of the circle is the length of rectangle divided by 2 (7cm)

Area of circle: pi*r²
Pi= 22/7

(22/7)*7²
=154

Since its a half circle, divide 154 by 2 =77

Area of rectangle:14*9=126

Subtract the circle from the rectangle: 126-77=49

3 0

3 years ago

a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.

ipn [44]

Given:

Speed $= \bold{9.2 \ \frac{miles}{hour}}$

$\therefore \\\\$

1-hour= 60 minutes

1-minutes=60 second

1-hour= 3600 second

Converting the given time into seconds:

Time= 6 minutes and 30 second

$=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\$

When 3600 seconds covers=9.2 miles

Then equation:

$=\bold{\frac{9.2}{3600}}\\\\$

390 seconds covers:

$=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\$

Let

$\bold{1 \ miles= 1760\ yard}\\\\$

Convert the traveling value into yards:

$=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\$