All categories

2 years ago

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

You might be interested in

Car A is traveling east at a steady speed of 45 miles per hour. After 2 hours, it

In-s [12.5K]

Answer:

A. car B was 10 miles east of car A

5 0

3 years ago

Read 2 more answers

In basketball game,carolyn made 14 out of 20 shots anna made 16 out of 24 shots. explain how you can tell if the two players mad

Naddik [55]

Answer:

14/20 is simplified to 7/10. 16/24 is simplified to 2/3 they are not proportional.

Step-by-step explanation:

7 0

3 years ago

What’s the anwser???

Darina [25.2K]

The answer is relative it sounds right and it should be right.

7 0

3 years ago

Read 2 more answers

Find the coordinates of the vertices of the figure after the given transformation T <2,4>

tankabanditka [31]

The correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

The coordinates of the vertices of the figure after the given transformation T <2,4>

So we will transform the points given in the figure.

V(-1,-1) , J(-4,-5) and E(-4,-3).

The transformation will be given as:-

V(-1,-1) → V'(-1+2 , -1 + 4) → V'( 1,3 )

J(-4,-5) → J'( -4 +2 , -5 + 4 ) → J'( -2,-1 )

E(-4,-3). → E'( -4+2 , -3+4 ) → E' ( -2, 1 )

Therefore correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

4 0

2 years ago

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors

tino4ka555 [31]

Answer:

$\chi^2 = \frac{(83-90)^2}{90} +\frac{(68-72)^2}{72}+\frac{(85-78)^2}{78}+\frac{(64-60)^2}{60} = 1.66$

And the answer would be:

c. 1.66

Step-by-step explanation:

We need to conduct a chi square test

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

the observed values for this case are:

$Freshemen=83$

$Sophomores=68$

$Juniors = 85$

$Seniors= 64$

The expected values for this case are:

$Fres_E =0.3*300= 90$

$Sop_E =0.24*300= 72$

$Jun_E = 0.26*300 =78$

$Sen_E = 0.20*300= 60$

Then the statistic would be given by:

$\chi^2 = \frac{(83-90)^2}{90} +\frac{(68-72)^2}{72}+\frac{(85-78)^2}{78}+\frac{(64-60)^2}{60} = 1.66$

And the answer would be:

c. 1.66

4 0

4 years ago