All categories

3 years ago

Find the center and radius of the circle whose equation is given below: (x − 2.5)2 + (y + 5.4)2 = 1.21

Mathematics

2 answers:

Vladimir79 [104]3 years ago

8 0

Answer:

The center is at (2.5, -5.4) and the radius is 1.1

Step-by-step explanation:

The formula for a circle is

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

Where (x,k) is the center and r is the radius)

(x − 2.5)^2 + (y + 5.4)^2 = 1.21

(x − 2.5)^2 + (y - - 5.4)^2 = 1.1^2

The center is at (2.5, -5.4) and the radius is 1.1

irinina [24]3 years ago

3 0

Answer:

The center of the circle is (2.5, 5.4) and the radius of the circle is 1.1

Step-by-step explanation:

We are to find the center and radius of the circle whose equation is given as;

(x − 2.5)² + (y + 5.4)² = 1.21 ----------------------------------------------------(1)

All we need to do is to compare it with a standard equation of a circle.

A standard equation of a circle with center (a,b) and radius r is given as;

(x -a)² + (y - b)² = r² ---------------------------------------------------------(2)

where a, b is the center of the circle and r is the radius of the circle

Comparing equation (1) and (2)

C(2.5 , 5.4)

r² = 1.21

But what we are looking for is just r, so we will take the square root of both-side

√r² = √1.21

r= 1.1

Therefore the center of the circle is (2.5, 5.4) and the radius of the circle is 1.1

You might be interested in

Help plss (find the perimeter) thx

LiRa [457]

Answer:

64 units

Step-by-step explanation:

divide the shape into two shapes:

first one: 15+15+4+4=38

second shape:7+7+6+6=26

pweimwter for the whole shape: 38+26=64 units

3 0

3 years ago

Trigonometry

Nadusha1986 [10]

55° is equal to 0.9599 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ radians.

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$ .

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)( $\frac{\pi}{180}$ ).

Step 2:

To convert 50°,

$55\left(\frac{\pi}{180}\right)=\frac{55\pi}{180}.$

$0.3055 (\pi) =0.9599$ radians.

So 55° is equal to 0.9599 radians.

7 0

3 years ago

Read 2 more answers

The graph of y=−3x+2

Sophie [7]

The attached image is the graph.

3 0

3 years ago

Read 2 more answers

What is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

never [62]

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

x = (2 1/4) * (3 3/5) / (1 1/2)

7 0

3 years ago

8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)

Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let $D(5, 7) = (x_2, y_2)$

$C(?, ?) = (x_1, y_1)$

$M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})$

Rewrite the equation to find the coordinates of C

$2 = \frac{x_1 + 5}{2}$ and $4 = \frac{y_1 + 7}{2}$

Solve for each:

$2 = \frac{x_1 + 5}{2}$

$2*2 = \frac{x_1 + 5}{2}*2$

$4 = x_1 + 5$

$4 - 5 = x_1 + 5 - 5$

$-1 = x_1$

$x_1 = -1$

$4 = \frac{y_1 + 7}{2}$

$4*2 = \frac{y_1 + 7}{2}*2$

$8 = y_1 + 7$

$8 - 7 = y_1 + 7 - 7$

$1 = y_1$

$y_1 = 1$

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let $A(-2, -9) = (x_2, y_2)$

$B(?, ?) = (x_1, y_1)$

$M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})$

$-4 = \frac{x_1 - 2}{2}$ and $-5 = \frac{y_1 - 9}{2}$

Solve for each:

$-4 = \frac{x_1 - 2}{2}$

$-4*2 = \frac{x_1 - 2}{2}*2$

$-8 = x_1 - 2$

$-8 + 2 = x_1 - 2 + 2$

$-6 = x_1$

$x_1 = -6$

$-5 = \frac{y_1 - 9}{2}$

$-5*2 = \frac{y_1 - 9}{2}*2$

$-10 = y_1 - 9$

$-10 + 9 = y_1 - 9 + 9$

$-1 = y_1$

$y_1 = -1$

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0

4 years ago