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Nataly [62]
3 years ago
8

A circle that has a center at the point (3, -2) with a radius of 6. Write an equation for the circle.

Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

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For the line segment whose endpoints are X(1, 2) and Y(6, 7), find the x value for the
finlep [7]

Answer:

3) 2.7

Step-by-step explanation:

The distance between two points (x_1,y_1) and (x_2,y_2) can be determined by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Since the points are X(1, 2) and Y(6, 7). The distance between the two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(6-1)^2+(7-2)^2}=\sqrt{50}

the x value for the  point located 1/3 the distance from X to Y,

x=\frac{x_2-x_1}{3}=\frac{6-1}{3}=1.7

The x value = x_1+1.7 = 1+1.7 = 2.7

6 0
3 years ago
Read 2 more answers
Solve for x: |3x + 12| = 18
Alla [95]

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

3x

3

=

6

3

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

3x

3

=

−30

3

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

4 0
3 years ago
Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation a function.
Xelga [282]

Answer:

Domains- 6, 5, 1, 7

Ranges- -7, -8, 4, 5

6 0
3 years ago
What is the unit rate of 42 dollars for 3 books?
USPshnik [31]
42/3 = 14

I think the unit rate is $14. 

I hope this helps! :D
8 0
3 years ago
Please solve this question.
andre [41]
  • <em>Answer:</em>

<em>x = - 2</em>

<em>y = 5</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>2x + 9 = y</em>

<em>y = - 4x - 3</em>

<em> </em>

<em>equality</em>

<em>2x + 9 = - 4x - 3</em>

<em>2x + 4x = - 9 - 3</em>

<em>6x = - 12</em>

<em>x = - 12 : 6</em>

<em>x = - 2</em>

<em>replace x = - 2</em>

<em>2(-2) + 9 = y</em>

<em>- 4 + 9 = y</em>

<em>y = 5</em>

<em>Good luck !</em>

<em />

<em />

8 0
3 years ago
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