Find the equation of the circle whose center and radius are given.center ( 5, 6), radius = 3

Answers

Answer 1
Answer:

Answer:

(x-5)^2+(y-6)^2 =9

Step-by-step explanation:

The  equation of circle is given by:

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

where,

(h, k) is the center

r is the radius of the circle.

As per the statement:

Given: center ( 5, 6), radius = 3 units

⇒(h, k) = (5, 6) and r = 3 units

Substitute these in [1] we have;

(x-5)^2+(y-6)^2 = 3^2

(x-5)^2+(y-6)^2 =9

Therefore, the equation of the circle is, (x-5)^2+(y-6)^2 =9

Answer 2
Answer: the general formula of the circle is (x-h)^2 + (y-k)^2 = r^2 
where (h,k) the center of the circle and r is the radius  
so , the equation is (x-5)^2 + (y-6)^2 = 9

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What is 2,200 yards in miles? Round to the nearest tenth of a mile.

Answers

There are 1.3 miles in 2,200 yards.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

Learn more about unitconversion here:

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Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

Determine the rate of change shown in the following ordered pairs: (4,9) and (-1, 9)

Answers

To determine the rate of change between the ordered pairs (4, 9) and (-1, 9), you can use the formula:

Rate of change = (Change in y) / (Change in x)

In this case, both ordered pairs have the same y-coordinate (9), so the change in y is 0. The change in x is the difference between the x-coordinates, which is:

Change in x = (-1) - 4 = -5

Now, you can calculate the rate of change:

Rate of change = (0) / (-5) = 0

So, the rate of change between these two ordered pairs is 0. This means that the y-coordinate (9) remains the same, and there is no change in the dependent variable as the independent variable (x) changes from 4 to -1.

Which expression has a value of 3A. (12 + 6) ÷ (3 + 3)

B. 12 + (6 ÷ 3 + 3)

C. (12 + 6) ÷ 3 + 3

D. 12 + 6 ÷ (3 + 3) ​

Answers

Answer:

(12 + 6) / (3 + 3) =  18 / 6 = 3

your answer is : (12 + 6) / (3 + 3)

Answer:

A

Step-by-step explanation:

A) 18/6 = 3

B) 12+5 = 17

C) (18 / 3) + 3 = 9

D) 12 +(6/6) = 13

In rectangle KLMN, KM=6x+16 and LN =49 find the value of x

Answers

6x+16=49
6x=49-16
6x=33
x=33/6
x=5.5
Diagonals bisect each other meaning you would set LN and KM equal to each other.
6x+16=49
-16 -16
6x=33
x=5.5

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20%chance of winning. How many tickets were sold?

Answers

Answer:

100 tickets were sold.

Step-by-step explanation:

If she bought 20 tickets and had a 20 percent chance of winning that means there were 100 sold tickets because 20 percent of 100 would be the 20 tickets she purchased.

Answer:

100

Step-by-step explanation:

i got it right on edu

A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid. Which answer explains one way that the length of this line segment can be determined? A. Add 9 + 4. B. Add 4 + 1. C. Subtract 9 – 4. D. Subtract 4 – 1.

Answers

One way that the length of this line segment can be determined is by
D. Subtract 4 - 1

Or the distance formula can be used
d = √( (9 - 9)² + (4 - 1)² )
d = √( 0² + 3² )
d = √3²
d = 3