A point is in Quadrant 3 and on the unit circle. If its x-coordinate is -4/5, what is the y-coordinate of the point?

Answers

Answer 1

Answer:

The y-coordinate of the point is -3/5

Step-by-step explanation:

Here, we want to get the y-coordinate of the point

when we talk of the unit circle, we mean a circle that has its radius equal to just 1 unit

Now, on the third quadrant, we have the x axis value as negative, and also the y axis value as negative

In the unit circle, the Pythagoras’ theorem works for all quadrants; with the radius representing the hypotenuse of the right triangle, the x and y coordinates value represents the other sides of the triangle

Mathematically, from the theorem;

the square of the hypotenuse (radius of the unit circle) equals the sum of the squares of the two other sides

Thus, we have it that;

1^2 = (-4/5)^2 + y^2

1 = 16/25 + y^2

y^2 = 1 - 16/25

y^2 = 9/25

y = √(9/25)

y = +3/5 or -3/5

But since the y-coordinate value is supposed to be negative, we have to choose y = -3/5 as our answer (for the third quadrant)


Related Questions

Emliy has 13 candies and wants to give an even amount to each of her 3 friends. How many candies do each of emily's friends get, and how many candies are left over

Answers

Answer:

Each friend gets 4 candies and there is 1 left over.

Step-by-step explanation:

4 x 3 = 12.

13 - 12 = 1.

You do 13 divide by 3 and get 4.3
3 times 4= 12
And these is 1 left over

Emiko needs to go to the dentist. It takes her 65minutes to get there by riding her bike. This is 5 minutes shorter than twice the time it would takeby bus. How long does it take Emiko to get to the dentist by bus? a.35 min b.40 min c.45 min d.50 min I will brainliest

Answers

65 min by riding her bike

x min by boarding a bus

since the time taken to get to the dentist with a bus is 5min shorter than twice the time taken with a bike, it can be written as

(2x) - 5 = 65

2x = 65 + 5

2x = 70

x = 35 min. (A)

A linear equation is an equation whose graph is a straight line.

Answers

Answer:

True

Step-by-step explanation:

Plotting the point of any linear equation on a graph gives a straight line

Answer:

True

Step-by-step explanation:

Marilyn and Frank each save $25 per month. Their savings are $3x and $2x respectively. What amount will be the sum of their savings 5 months from now?

Answers

Answer:yutu

gdffg

Step-by-step explanation:

uytyuytuyuyu dfgdgdg

Answer: the answer is b on the forum

Step-by-step explanation:

What is the equation of the line that passes through the point (3,-2) and has a
slope of -22

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

slope intercept form:

y = mx + b

m = slope = -2

b = y-intercept

x = x = 3

y = y = -2

Plug in the corresponding numbers to the corresponding variables:

-2 = (-2) * (3) + b

Simplify. First, multiply:

-2 = (-6) + b

Next, isolate the b. Note the equal sign, what you do to one side, you do to the other. Add 6 to both sides of the equation:

-2 (+6) = -6 (+6) + b

b = -2 + 6

b = 4

Plug in 4 for b in the equation:

y = mx + b

y = -2x + 4

~

Find the equation of the line that is parallel to the line y=-3x-7 and passes through the point (1,2). Write an equation in slop intercept form

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y=-3x-7

slope is -3

parallel lines have the same steepness, they have the same slope.  The slopes are equal.

y-y1=m(x-x1)

y-2=-3(x-1)

y-2=-3x+3

y=-3x+3+2

y=-3x+5

Can you please answer these correctly​

Answers

Answer:

zeros= none

axis of symmetry= 3

vertex = 3,1

y int. = 7

domain= Xer

range= y >7, yer


How does an expression differ from an equation?

Answers

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

what is the value of x​

Answers

Answer:

x=11

Step-by-step explanation:

6x + 1 + 7x = 144

13x + 1 = 144

13x = 143

x = 11

a) A graph is drawn below.
у
Explain how you know that y is
not directly proportional to x.

Answers

Answer:

Y is not directly proportional to x because the line does not pass through the Origin.

I will give Brainliest or a Cookie, your choice

Answers

Answer: x= 10??
I hope this is correct
And I want the brainliest

Solve for

Help me please

Answers

Answer:

x = 7

Step-by-step explanation:

tan 30 = x/7√3

tan 30 = 0.5774

x = 0.5774(7√3)

x = 7

what is 7 -7/8 by the way this is a fraction question

Answers

Answer: 6 1/8

Step-by-step explanation:

6 1/8 that's what I got but I'm not sure

Helpppppp me pleaseeee

Answers

Answer:

3. C

4. D

Step-by-step explanation:

1. add flat fee to each song.

2. Multiply 0.15 by 25 then add 10

first is C
second is D

How much will 9 pencils cost if 6 pencils cost $1.68?

Answers

Answer:

$2.52

Step-by-step explanation:

1.68/ 6 = $0.28 each pencil

0.28 x 9 = $2.52


If 50 people can fit into 6 rooms. How many people
fit into 42 rooms?

Answers

Answer:

350 people can fit into 42 rooms

Step-by-step explanation:

So we can write it as a relation fraction equation:

[tex]\frac{50}{6}=\frac{x}{42}[/tex]

Where:

x represents the people can fit in 42 rooms

[tex]x=\frac{50*42}{6}[/tex]

[tex]x=350[/tex]

Therefore, 350 people can fit into 42 rooms.

I hope it helps you!

solve 35% of 84 using the mental method

Answers

Answer:

29 approximately

Step-by-step explanation:

You want to estimate 35% of 84.  35% is roughly equivalent to 1/3, so multiply 84 by 1/3 (or, equivalently, divide 84 by 3), obtaining 28.    Use a calculator to find 0.35(84):  29.4.     This 28 is a fairly good estimate of 35% of 84 which is 29.4.

What is the measure of angle EBD

Answers

Answer:

EBD = 156

Short-term explanation :

it's the best I can do

Use the substitution method to solve the system of equations.choose the correct ordered pair. x+2y=12 -x=-y-6

Answers

Answer:

Point Form: 8,2

Equation Form: x = 8, y = 2

Step-by-step explanation:

solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

(8,2)

Step-by-step explanation:

Can someone help me? Thank you

Answers

Answer:

1

Step-by-step explanation:

Any number to the power of 0 is 1

Answer:

1

Step-by-step explanation:

If you ever put a number to the power of 0, then its answer is 1

what is the distance between the points (1,0) and (-1,6)

Answers

Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

(✿◡‿◡) <--- she wants Brainliest

What is 3/4 divided by 1/8? Draw a diagram to solve

Answers

Answer:

6

Step-by-step explanation:

Sorry I can't draw a diagram :/

Switch 1/8 upside down to, 8/1

(3/4)*(8/1)=(24/4)

(24/4)=6


A pizza with a diameter of 8 inches costs $10 and a pizza
with a radius of 5 inches costs $12. Which pizza is the
best buy (square inches per dollar)?

Answers

Answer:

8 inch is your best buy

Step-by-step explanation:

8inch diameter =10 dollars

5 inch radius = 12 dollars

so if we get each equal to the diameter it should be 10 inch and that would be 24 dollars vs . 8 in for 10 dollars. So best buy would be 8 inch

The Vincent family played a game of basketball. For each game, Ben kept a record of the number of 2-point baskets he attempted, and the number of 3-point baskets he attempted. After the family played several games, he made a scatter plot of the data using the 2-point shots as the x-variable and the 3-point shots as the y-variable. The scatter plot has a line of best fit with the equation y=1.2x+3.1

Answers

Answer:

your answer is The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.

Step-by-step explanation:

Answer:The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.

Step-by-step explanation:

2.7+ a/0.6=1.7

What's A.

Answers

Answer:

a = 0.6

Step-by-step explanation:

i hope im right

A = -0.6

I’ve included the work below

PLEASE HELP FAST BRAINEIST

The sum of two numbers is 35 and the difference is 7. What are the numbers? Larger number: Smaller number:

Answers

Smaller number: 14
Larger number: 21

x + (x + 7) = 35
2x + 7 = 35
2x = 28
x = 14

14+7
21

larger number :21

smaller number:14

What is the slope of the line? Explain how you calculated the slope in the graph going through the points (-6,-3) and (-2,-8).

Answers

Answer:

[tex]\frac{-5}{4}[/tex]

Step-by-step explanation:

Use the slope formula so y2 - y1 / x2 - x1 [the numbers are subscripts]  

So -8 - (-3) / -2 - (-6) so -8+3/-2+6, therefore -5/4

Show that the triangles are similar and write a similarity statement.
F.
5
G
24
15
18
H
16.5 J 5.5 K
HG
HJ
GJ
II
II
So AGHJ~A

Answers

Answer:

the circle is a square so that means a triangle is a circle

Step-by-step explanation:

which of the following angle relationships are correct?

Answers

Answer:

B but am not sure tho it's probably A

Hello can you help me solve this problem? Thank you in advance. :))) "A roof in the shape of a cone has a diameter of 15 feet and a slant height of 18 feet. If one box of shingles covers 34 square feet and cost $27, how much will it cost to cover the roof in shingles?"​

Answers

Answer:

__

7.933

Step-by-step explanation:

photo explains it use it

hope this helps ^^

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