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Lelu [443]
2 years ago
8

Write the equation of a circle with a center at (1,-9) and a radius of 12

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

The equation of the circle is (x - 1)^2 +(y + 9)^2 = 144

<h3>How to determine the circle equation?</h3>

The given parameters are:

Center, (a,b) = (1, -9)

Radius, r = 12

The circle equation is calculated as:

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

This gives

(x - 1)^2 +(y + 9)^2 = 12^2

Evaluate the exponent

(x - 1)^2 +(y + 9)^2 = 144

Hence, the equation of the circle is (x - 1)^2 +(y + 9)^2 = 144

Read more about circle equations at:

brainly.com/question/10618691

#SPJ1

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What is the area of the following circle?
irina1246 [14]
Could you show the circle so we can solve this? we can’t solve it if you don’t show the area of the circle.
6 0
3 years ago
Read 2 more answers
Which number is greater and by how much: A decreased by 50% and then increased by 50% of the result
cricket20 [7]

Answer:

the original number is greater

Step-by-step explanation:

1. let 1x be your starting number

2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)

3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)

4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)

6 0
2 years ago
Answer question below.
12345 [234]

The speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Let the speed of the Elvira be x. Then the speed of the Altheia will be (x - 6).

Let the distance between the coffee shop and Elvira's house be d.

Then the distance between the coffee shop and Altheia's house will be (3.6 - d).

Then we have

x = d / 0.5 ...1

(x - 6) = (3.6 - d) / 0.6 ...2

In solving the equations 1 and 2, we have

x = 6.545 and d = 3.2725 miles

Then the speed of the Elvira is 6.545 miles per hour. Then the speed of the Altheia will be 0.545 miles per hour.

More about the speed link is given below.

brainly.com/question/7359669

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4 0
2 years ago
Drag each tile to the correct box. Each tile shows an investor's tax bracket along with the tax-free yield of a bond the investo
shusha [124]

The tax bracket and tax-free yield will be (18%, 3%) < (32%, 3%) < (32% , 4%) < (22% , 5%) < (24% , 6%) .

<h3>Taxable equivalent yield based problem:</h3>

The taxable equivalent yield will be:

= Tax-free yield / (100 - Tax bracket)

Taxable equivalent yield =  3 / (100 - 18) = 0.03659

Taxable equivalent yield = 6 / (100 - 24) = 0.07895

Taxable equivalent yield = 3 / (100 - 32) = 0.04412

Taxable equivalent yield = 5 / (100 - 22) = 0.06410

Taxable equivalent yield = 4 / (100 - 32) = 0.05882

Find out more information about Tax on:

brainly.com/question/22852392

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5 0
2 years ago
How can I solve this question???
eduard

Answer:

144°

Step-by-step explanation:

step 1

Find the measure of the central angle of the regular pentagon

Divide 360 degrees by 5 (the number of sides)

360\°/5=72\°

Let

c----> the center of the pentagon

we know that

m∠ECA=72°

m∠ACB=72°

therefore

m∠ECB=m∠ECA+m∠ACB

substitute the values

m∠ECB=72°+72°=144°

The measure of angle ECB is equal to the degrees that the pentagon rotate

5 0
3 years ago
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