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3 years ago

PLEASE HELP ME!! My grades are bad and I need the answer before Friday. Somebody PLEASE help!!! I rlly need to get this done!!

Mathematics

1 answer:

elixir [45]3 years ago

7 0

Step-by-step explanation:

Just telling you, if your grades are bad,

you should listen to the teacher more in class time,

take notes, and more.

Btw, the equation is...

I hope this will help you.

I cannot give answers for everything.

I hope this helps!

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Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P.

svlad2 [7]

Answer:

$(x-2)^2+y^2=20$

Step-by-step explanation:

We want to find the equation of a circle P, and we know that the square RSTU is inscribed in the circle, this means that if we replace the points:

R(0,4) S(6,2) T(4,-4) and U(-2,-2) the equation must be verified.

Then, we have to replace the points in each option to see which one is the correct answer.

Option A: $(x-2)^2+y^2=68$

R(0,4):

$(x-2)^2+y^2=68\\(0-2)^2+4^2=68\\(-2)^2+16=68\\4+16=68\\20\neq 68$

We can see that R doesn't belong to the equation of the circle.

We could replace the rest of the points in the equation, but since we already know that R does not belong to the circle, we already know that it is not the right option.

Option B: $(x+2)^2+y^2=20$

R(0,4):

$(x+2)^2+y^2=20\\(0+2)^2+4^2=20\\2^2+4^2=20\\4+16=20\\20=20$

The point R(0,4) verifies the equation.

S(6,2):

$(x+2)^2+y^2=20\\(6+2)^2+2^2=20\\8^2+4^2=20\\64+16=20\\80\neq 20$

The point S doesn't belong to the equation of the circle, then we already know that this isn't the correct option.

Option C: $(x-2)^2+y^2=20$

R(0,4):

$(x-2)^2+y^2=20\\(0-2)^2+4^2=20\\(-2)^2+16=20\\4+16=20\\20=20$

The point R verifies the equation.

S(6,2):

$(x-2)^2+y^2=20\\(6-2)^2+2^2=20\\4^2+4=20\\16+4=20\\20=20$

The point S verifies the equation.

T(4,-4):

$(x-2)^2+y^2=20\\(4-2)^2+(-4)^2=20\\2^2+16=20\\4+16=20\\20=20$

The point T verifies the equation.

U(-2,-2):

$(x-2)^2+y^2=20\\(-2-2)^2+(-2)^2=20\\(-4)^2+4=20\\16+4=20\\20=20$

The point U verifies the equation.

<em>We can see that the four points RSTU verifies the equation. This means that the square RSTU is inscribed in circle P whose equation is: </em> $(x-2)^2+y^2=20$

<em>We can see that the graph of the equation verifies the answer.</em>

3 0

4 years ago

Kelvin gave 2/7 of his money to James. As a result, Kelvin had $140 and James had $100 the end. How much did James have at first

kaheart [24]

Answer = $44

1. Divide $140 by 5/7. It will give us how much Kelvin had originally, which is $196
(I got 5/7 by doing 7/7 - 2/7)

2. Find 2/7 of 196 by multiplying them. This is 56....meaning that Kelvin gave James $56

3. Subtract 100 - 56 to find how much James had before this, which is $44.

6 0

3 years ago

Lana wants to buy a hamster. The hamster is on sale for 19% off. Lana has a coupon as well. The coupon is for 15% off. What is t

son4ous [18]

Answer:

$42 - 19 = 23 - 15 = $8

Step-by-step explanation:

6 0

3 years ago

What is the value of x in the equation. 8 x - 2 y= 48 when y =4

goldfiish [28.3K]

$\qquad$ ❄️ $\boxed{\bf x = 7}\\\\$