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2 years ago

Find the Diameter of the Circle with the following equation. Round to the nearest tenth.

Mathematics

1 answer:

Radda [10]2 years ago

3 0

The diameter of the circle is 11.8 units

<h3>How to determine the diameter of the circle?</h3>

The circle equation is given as:

(x - 2)^2 + (y + 6)^2 = 35

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Diameter = 2r

By comparing both equations, we have

r^2 = 35

Take the square root of both sides

r = 5.9

Multiply by 2

2r = 11.8

Hence, the diameter of the circle is 11.8 units

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No idea how to do this equation. Its applying system's of linear equations.

icang [17]

What you want to do is take one of the 2 equations and isolate one variable. you will then use the value that you find for the variable and plug it back into the other equation. here is how:

This would be easiest to do with the second equation in the set since the x is not being multiplied by anything. So lets isolate the x in the second equation.

add 0.9y to both sides and you get:

x=4.5+0.9y

we now know what x is equal to in terms of y. so lets replace the x in the first equation with the new value. You get:

1.5(4.5+0.9y)-1.9y=-29

Now just solve for y:
6.75+1.35y-1.9y=-29
1.35y-1.9y=-35.75
-0.55y=-35.75
y=65

so now you know that y=65 so plug 65 in as y in the second equation to find x

x-0.9*65=4.5

Now simply solve for x

x-(-58.5)=4.5
x+58.5=4.5
x=-54

Hope this helped! :)

3 0

3 years ago

Please answer these for me <3

gtnhenbr [62]

8-21

9- -16 i think lemme do the next ones

6 0

3 years ago

A water tank has a radius 5 feet and height 11 feet. How much water can it hold?

Semmy [17]

The water tank hold 863.50 $ft^{3}$ of water.

<h3>What is Volume of cylinder?</h3>

The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.

The water tank is in the shape of cylinder whose radius = 5 feet

and, height= 11 feet

Volume of water tank = $\pi r^{2} h$

= 3.14 * 5 * 5 * 11

= 3.14*25*11

= 863.50 $ft^{3}$

Hence the water tank hold 863.50 $ft^{3}$ of water.

Learn more about Volume of cylinder here:

brainly.com/question/16788902

#SPJ1

6 0

2 years ago

There are 5,000 books in the town's library. Of these, 4,700 are fiction. To find the percent of the books that are fiction,

adell [148]

Answer:

94%

Step-by-step explanation:

4,700/5,000 x 100%

0.94 x 100% = 94%

8 0

3 years ago

Read 2 more answers

A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose 1/10 degree every 1/4 hour for

klio [65]

Answer:

The rate is $\frac{2}{5}$ degree per hour.

Step-by-step explanation:

Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose $\frac{1}{10}$ degree every $\frac{1}{4}$ hour for a limited time.