Find the center and radius for the circles with the following equation x^2+y^2-4x+6y+11=0

1 answer:

7 0

Rearrange x²+y²-4x+6y=-11 I'll tell you an easy way. take the coefficient of x and divide it by -2 and the coefficient of y and divide it by -2 so -4 ÷-2 = 2 6÷-2= -3 (2,-3) is the center of the circle to know the radius √2² + -3² + -11 =√2 The Radius equals √2

You might be interested in

Find the measure of XCY. PLEASE HELP ME AND SHOW WORK

Dovator [93]

Answer:

Measure of angle XCY is 60°.

Step-by-step explanation:

"Measure of all inscribed angles by the same arc in one segment of the circle are equal"

Using this property in the given circle,

m∠XWY = m∠XCY

60x = 61x - 1

61x - 60x = 1

x = 1

By substituting the value of 'x' in the measure of ∠XCY,

m∠XCY = 61x - 1

= 61(1) - 1

= 61 - 1

= 60°

Therefore, measure of angle XCY is 60°.

4 0

2 years ago

Whats 3/8 + 3 7/12=?

kow [346]

Answer:

3.95833333333

Step-by-step explanation:

3 0

2 years ago

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

Nady [450]

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

$z=\frac{X-\mu}{\sigma}$

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

$-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg$