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Keith_Richards [23]
2 years ago
12

The point P = (-3, y) lies on the unit circle shown below. What is the value of y

Mathematics
1 answer:
alukav5142 [94]2 years ago
5 0

The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.

<h3>What is an equation of a circle?</h3>

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h, k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The equation of the circle has the center at the origin and the radius is one unit. Then we have

x² + y² = 1

The point P = (-2/3, y) lies on the unit circle. Then the value of y will be

(-2/3)² + y² = 1

y² = 1 - 4/9

y² = 5/9

y = ± √5 / 9

Learn more about the equation of a circle here:

brainly.com/question/10165274

#SPJ1

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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $52. The total cost to re
riadik2000 [5.3K]

Answer:

The cost for 1 chair is $2.75 and the cost for 1 table is $8.75

Step-by-step explanation:

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

1. Multiply the entire first equation by -3.

-3(3c+5t=52)

2. Simplify the equation from above:

-9c-15t=-156

3. Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

4. You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

5. Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

6. Simplify the equation above:

3c+43.75=52

7. Subtract 43.75 from both sides of the equation:

3c=8.25

8. Divide both sides by 3 to get your c value:

c=2.75

3 0
3 years ago
durning the second half of a trivia game, Angie scored 867 points in the science round and -332 points in the art round.what was
Ket [755]
535 points. You could either add 867 to -332 or subtracted 332 from 867. I hope this was helpful.
8 0
3 years ago
Fabian hikes at a rate of 3 miles per hour. how far can she home in for hours?
rjkz [21]

the answer is 12, 3x4=12

3 0
4 years ago
Indicate in standard form the equation of the line passing through the given point and having the given slope. r(4, 0), m = 5
Brrunno [24]
Y = mx + b....m is the slope and b is the y intercept
slope(m) = 5...(4,0)...x = 4 and y = 0
now we sub our info into y = mx + b...we r looking for b, the y intercept
0 = 5(4) + b
0 = 20 + b
-20 = b
so ur equation is y = 20x - 20...but we need it in standard form
Ax + By = C

y = 20x - 20....subtract 20x from both sides
-20x + y = -20...multiply by -1 to make x positive
20x - y = 20 <== standard form
5 0
3 years ago
What is y=5x+3 when the x variable is 1
ikadub [295]
The answer is 8 y=8 very easyyyy
3 0
3 years ago
Read 2 more answers
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