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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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grin007 [14]
4^2= 16
3^3= 27
27-16=11 so Alia has 11 jelly beans
3 0
3 years ago
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Orlando's sports-card collection features players from four teams, as shown in the table below
alukav5142 [94]

Answer:D

Step-by-step explanation:

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8 0
3 years ago
The average sunflower has 34 petals. What is the best estimate of the total number of petals on 57 sunflowers?
stellarik [79]
Your initial instinct would be to solve this problem with this solution. 34 x 57 = 1,938 petals.

However, the word estimate is present; therefore, we have to consider that we need to get the approximate number and not the exact number of petals.

There is a general rule regarding estimation or approximation. You have to round it to the nearest place you have based on. In this problem we round it off to the nearest tens place.

If the number is below 5, you round it down: 34 is rounded down to 30 petals.

If the number is above 5, you round it up: 57 is rounded up to 60 sunflowers.

Thus, your equation would be :  30 x 60 = 1,800 petals (best estimate)


3 0
3 years ago
Erin's savings increased by 1/2 of her savings is $15,000. Find her savings.
Natasha_Volkova [10]

Answer:

$22,500

Step-by-step explanation:

1/2 of $15000 is $7500, $7500+$15000 is $22,500

5 0
3 years ago
Y=2x+3 <br> y=3x+1 <br> solve the system of equations using substitution
Lynna [10]

Answer:

(2, 7 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 1 → (2)

Substitute y = 3x + 1 into (1)

3x + 1 = 2x + 3 ( subtract 2x from both sides )

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting x = 2 into (1)

y = 2(2) + 3 = 4 + 3 = 7

Solution is (2, 7 )

4 0
3 years ago
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