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antoniya [11.8K]
3 years ago
10

The equation shown below represents a circle. Which statement describes the key features of the circle that can be determined fr

om the equation?
x2+10x + y2 - 2y +22=0
The circle has a center at (-5, 1) and radius of 2 units.
The circle has a center at (5.-1) and radius of 2 units.
The circle has a center at (-5,1) and radius of 4 units.
The circle has a center at (5, -1) and radius of 4 units.
Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

The circle has a center at (5.-1) and radius of 2 units.

Step-by-step explanation:

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astra-53 [7]

Step-by-step explanation:

  • 1

vector AB(3-(-6); 5-7)

vector AB(9;-2)

AB= \sqrt{9^{2}+(-2)^{2}  } = \sqrt{85}

  • 2

M is the midpoint of AB

we have B(-5;10) and M(1;7)

let A(x;y)

(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7

(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4

so : A(7;4)

  • 3

the center of the circle is the midponit of the line joining both ends of the diameter

let A(x;y) be the other end

(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6

(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7

so the coordinates of the other end are (6; -7)

  • 4

A,B and C are collinear such as AB=BC so b is the midpoint of AC

(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2

((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17

so x= 17 and y = -2

7 0
3 years ago
Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times
Oxana [17]

Answer:

Collin

Step-by-step explanation:

He did the most attempts.

The probability of flipping a coin is 1/2

7 0
3 years ago
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Please help me it’s due today! The one on the top is just helping explain the bottom questions
Vinvika [58]

Answer:

dont know

Step-by-step explanation:

3 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Hatshy [7]

Answer:

The change in the area of the rectangle is 0 square feet

Step-by-step explanation:

To solve this problem we have to calculate the area of ​​the two rectangles that give us

first we have to know the formula to calculate the area of ​​a rectangle

a = area

l = length  = 12ft

w = width = 5ft

a = l * w

we replace the known walues

a = 12ft * 5ft

a = 60ft²

we do the same with the other rectangle, but first we have to calculate its sides

w = 5ft - (5ft * 20/100)

w = 5ft - 1ft

w = 4ft

l = 12ft + (12ft * 25/100)

l = 12ft + 3ft

l = 15ft

a2 = 15ft * 4ft

a2 = 60ft²

to calculate the change in the area we subtract (a - a2)

a - a2 =

60ft² - 60ft² = 0ft²

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3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nasty-shy [4]

Answer:

f(x) = 1/(x+2) + 7

Step-by-step explanation:

The graph depicts the line of 1/x shifted to the left by 2 and up by 7.:

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2 years ago
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