3 years ago

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

Hello here is a solution :

You might be interested in

What is the radius of a circle whose equation is x2 y2 8x – 6y 21 = 0?

andrew11 [14]

we know that

the standard form of the equation of the circle is

$(x-h)^{2} +(y-k)^{2}=r^{2}$

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$x^{2} +y^{2} +8x-6y+21=0$

<u>Convert to standard form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$(x^{2}+8x) +(y^{2}-6y)=-21$

Complete the square twice. Remember to balance the equation by adding the same constants to each side.

$(x^{2}+8x+16) +(y^{2}-6y+9)=-21+16+9$

$(x^{2}+8x+16) +(y^{2}-6y+9)=4$

Rewrite as perfect squares

$(x+4)^{2} +(y-3)^{2}=4$

$(x+4)^{2} +(y-3)^{2}=2^{2}$

the center of the circle is $(-4,3)$

the radius of the circle is $2\ units$

therefore

<u>the answer is</u>

the radius of the circle is $2\ units$

8 0

3 years ago

Read 2 more answers

A rate compares two quantities that have different(blank)

g100num [7]

Answer:

units of measure.....

5 0

4 years ago

A person on a moving sidewalk travels 20 feet in 5 seconds. the moving sidewalk has a length of 80 feet. how long will it take t

Setler [38]

It will take 20 seconds to move from one end to another because if 20 feet is moved within 5 seconds, do that 4 more times to get to 80. Finally, multiply 5 by 4 to get 20 seconds.

7 0

3 years ago

Miguel has an aquarium in the shape of a rectangular prism. the base is 30.25 inches long and 12.5 inches wide. the aquarium is

algol13

The answer is 4822 cubic inch

7 0

3 years ago

Which equation does not represent a function?

Margaret [11]

B does not represent a function

5 0

3 years ago