All categories

3 years ago

The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)

1 answer:

4 0

Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r. The general form of the equation for a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$ . We will fill in accordingly: $(5-3) ^{2}+(4-2) ^{2} = r^{2}$ . Solve for r to get that $r= \sqrt{8}$

You might be interested in

Give 3 example of real life function with rule of correspondence input and output

Dmitrij [34]

Here are the examples of functions in real life.

1. ATM

If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.

2.Places you can drive with Two Gallons of Fuel

If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.

3. Number of Sodas in a Vending Machine

The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.

Learn more about functions here:

brainly.com/question/12431044

#SPJ9

4 0

1 year ago

Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the information want:

value of x
value of y

Let's gather some information:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the Angle-Angle Theorem*, they are similar triangles

If they are similar triangles:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

Answer:

x= 17.143
y = 26.25

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

C = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B9%7D%20" id="TexFormula1" title=" \frac{5}{9} " alt=" \frac{5}{9} " al

Airida [17]

F=9c+160/5

(add 160/9 to both sides then divide both sides by 5/9)

4 0

2 years ago

Compare the volumes. write <,> or =.

Otrada [13]

So the 1st cube is 60 ft cubed.

2nd cube is 60 ft cubed.

so they are going to be the same. hope that helped

4 0

2 years ago

Write the following ratio using two other notations. 4 : 5

Fittoniya [83]

Answer: It can also be written as 4/5 as a fraction or 4 to 5

5 0

2 years ago