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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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Colt1911 [192]

Answer:

y = -6x + 30

Step-by-step explanation:

The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0

After one week, you spend $6, so you will have y = 30 - 6 = 24 when x = 1.

With these pair of values, we can find the linear equation:

y = ax + b

for x = 0, y = 30:

30 = a*0 + b

b = 30

for x = 1, y = 24:

24 = a*1 + 30

a = 24 - 30 = -6

So, our equation is:

y = -6x + 30

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3 years ago
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
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The base of the triangle decreases by 30% and the height increases by 20%.
sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}

<u>Initial triangle:</u>

The base is 18 cm

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The height is (1+0.2)\cdot 5=1.2\cdot 5=6\ cm

The area is

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Area decreases by

100\%-\dfrac{37.8}{45}\cdot 100\%=100\%-84\%=16\%

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3 years ago
More help with cylinder math?
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First you will need to find the lateral idea which is
2(15) (3.14) (4)
-multiply them together
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3 years ago
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Montano1993 [528]

Answer:  i feel that the coorect answer is b

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3 years ago
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