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2 years ago

The equation of a circle is given below . Identify the center and the radius. x ^ 2 + y ^ 2 + 8x - 4y + 11 = 0

Mathematics

1 answer:

lidiya [134]2 years ago

8 0

Answer:

Centre: (-4,2)

Radius: 3

Step-by-step explanation:

h = 8/-2 = -4

k = -4/-2 = 2

(-4)² + 2² - 11 = r²

r² = 9

r = 3

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2 years ago

What does x equal????

avanturin [10]

34 minus 2X
34/2=2/2x
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3 years ago

WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

Simple Linear Regression

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

5 0

2 years ago

Solve the two-step equation. 14 = 31.7 – 3x What is the solution?

shtirl [24]

Answer:

The answer is 5.9

Step-by-step explanation:

1) Subtract 31.7 from both sides.

$14 - 31.7 = - 3x$

2) Simplify 14 - 31.7 to -17.7

$- 17.7 = - 3x$

3) Divide both sides by -3.

$\frac{ - 17.7}{ - 3} = x$

4) Simplify -17.7/-3 to 5.9

$5.9 = x$

5) Switch sides.

$x = 5.9$

Therefor, the answer is x = 5.9.

3 0

2 years ago

What is the angular velocity of a point that rotates through

ivann1987 [24]

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = $\frac{\triangle \theta}{\triangle t}$

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = $\frac{7\pi }{2}$ radians and Δt = 24 seconds

Therefore, angular velocity = $\frac{\frac{7\pi }{2} }{24}$

= $\frac{7\pi }{48}$ radians per second

Option A is the answer.

6 0

2 years ago