A circle has the equation x + y + 18x-22y = -153. What is the length of the diameter of the circle?

Answers

Answer 1

Answer:

777y us or do we will miss because

Answer 2

The length of the diameter of the circle which  the equation x + y + 18x-22y = -153 is 3.5 units long.

What is the equation of circle?

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The equation of the circle given as,

[tex]x^2 + y^2 + 18x-22y = -153[/tex]

Rearrange the equation to make it as standard form,

[tex]x^2 + y^2 + 18x-22y = -153\\x^2 + 18x+ y^2-22y = -153[/tex]

Add 121 and 81 both side of the equation,

[tex]x^2 + 18x+81+ y^2-22y+121 = -153+81+121\\x^2 + 18x+9^2+ y^2-22y+11^2 =41[/tex]

Using the formula of whole square,

[tex](x+9)^2+(x-11)^2=7^2\\(x-(-9))^2+(x-11)^2=7^2[/tex]

Compare it with standard equation, we get the radius of the circle r is 7.

As the radius is half of the diameter. Thus, the diameter of the circle is,

[tex]d=\dfrac{7}{2}\\d=3.5\rm\; units[/tex]

Thus, the length of the diameter of the circle which  the equation x + y + 18x-22y = -153 is 3.5 units long.

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Related Questions

help me please! will give brainliested :)

Answers

Answer: [tex]y=-2x+5[/tex]

Step-by-step explanation:

First, we can take what we are given

The slope goes right 2 and down 1

The Y-intercept is (0,5)

Slope intercept form is: [tex]y=mx+b[/tex]

m is the slope

b is the y-intercept

y=-2x+5

In ΔPQR, the measure of ∠R=90°, the measure of ∠P=38°, and PQ = 62 feet. Find the length of RP to the nearest tenth of a foot.

Answers

Answer:

48.9 feet

Step-by-step explanation:

cos P =  Adj / Hyp = X / 62

cos 38 = X / 62

X = 48.8567 = 48.9

original: $2 new. $350​

Answers

Answer:

nice job making money I wish I could im broke

Step-by-step explanation:

a collector found a bone near former mayan territory. after careful research it has been determined that the bone lost about 15% of its carbon-14. How old is the bone?

Answers

Answer:

পার্সেন্টস সহ এই সূত্রটি মিশ্রিত হয় ...

Dividing by 4 also means that you are
multiplying by ____?

Answers

Answer:

4?

Step-by-step explanation:

I think.

Answer:2

Step-by-step explanation:

2 here why if you divide by 4 what equal 4? Is 2 times 2

The diameter of the the EPCOT Ball at Disney is 165 feet. Approximate
the volume of the EPCOT Ball. Round to the nearest foot.

Answers

Answer:

2352071 ft ^3

Step-by-step explanation:

formula for volume of a sphere is

V= 4/3 * [tex]\pi[/tex] * r ^3

V = 4/3 * [tex]\pi[/tex] * 82.5 ^3 = 2352071 ft ^3

Kristina is buying a chair that has a regular price of $349. It is on sale for 1/4 (Fraction) off the regular price. There is a 6% sales tax on the chair. What is the total cost of the chair?
A - $240.81
B - $267.75
C - $277.46
D - $330.00

Answers

Answer:

277.46

Step-by-step explanation:

Which equation is true when x = 0?

A 6- X + 2 = 4

B 2 + 6 - x= 4

C x - 6 + 2 = 4

D 6 + x - 2 = 4

Answers

Answer:

Answer is D

Step-by-step explanation:

x = 0

6 + x = 6

6 - 2 = 4

Which decimals are in order from least to greatest?
A 0.4, 0.05, 0.6
B. 0.06, 0.05, 0.4
C. 0.04, 0.5, 0.6
D. 0.06, 0.05, 0.04

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 0.06, 0.05, 0.4

Step-by-step explanation:

Use a decimal chart it can be very helpful

(A) Music and treats
(B) treats and savings
(C) music and savings
(D) toys and treats

Answers

Answer:

D

Step-by-step explanation:

Your answer is Toys and treats

what number goes into both 40 and 24

Answers

Answer:

4 40 divided by 4 equals 10 and 24 divided by 4 equals 6

Step-by-step explanation:

step-by-step explanation: 8 goes into both but where are the answers

Find the value of X. Write your answer in simplest form.
X=__​

Answers

Answer:

3

Step-by-step explanation:

[tex]x {}^{2} + x {}^{2} = (3 \sqrt{2} ) {}^{2} = 18[/tex]

[tex]2x {}^{2} = 18[/tex]

[tex]x = 3[/tex]

The value of x is 3 in the triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

By pythagoras theorem we find the value of x.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

x²+x²=(3√2)²

2x²=9×2

2x²=18

Divide both sides by 2

x²=9

Take square root on both sides

x=3

Hence, the value of x is 3 in the triangle.

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Please help!!!

PQR=/MNR. Find X.​

Answers

X=55 since the triangle is 90*

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

It would be the last one

angle 1 and angle 2 are ____.

Answers

Answer:

Complementary angles

Step-by-step explanation:

When two angles get added to form 90° those two angles are called Complementary angles.

Here, <1 + <2 = 90°

Hence, both are Complementary Angles (Ans)

The length of a rectangle is 3 times the width. The perimeter is
120 meters. Find the length and width.

Answers

Answer:

is it from a text book

Step-by-step explanation:

Let L = length, W = width and P =Perimeter

L = 3W

and

P + 2(L + W) = 120

L + W = 60

Substitute

3W + W = 60

4W=60

W=60/4

W=15

L+W=60

L+15=60

L=60-15

L=45

(05.05)
What is the rate of change of the linear relationship modeled in the table? (4 points)

Answers

Answer:

-1

Step-by-step explanation:

all you gotta do is do rise over run which is just y over x so you get -1/+1 which equals -1

hope this helps!

have a good one!!

God bless you!

:)))))))))))))))))))))))

Answer:

-1

Step-by-step explanation:

Please help asap and the correct answer please its for homework

Answers

you answer will be option c

what are some characteristics that you can use to describe functions

Answers

Answer:

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

The distance around the school track is 0.25 mile. It takes Maribeth 5.1 minutes to run 2 laps around the school track. At that pace, how long does it take Maribeth to run 1 mile?

Answers

Answer:

10.2 minutes

Step-by-step explanation:

1 lap= 1/4 mile

2 laos= 1/2 mile

5.1 x 2= 10.2 minutes

Please help ASAP!
You buy a coke and a burger for dinner. That ratio of the cost of the burger to the coke is 3:1. The total cost of the burger and coke is $8. What is the cost of the burger?

Answers

The cost of the burger is $6

A hotel elevator can hold up to 2000 pounds. When 6 people get on it,
they have a combined weight of 1050 pounds. How much additional
weight can the elevator handle?

Help me pleaseeee!!!!

Answers

Answer:

The elavator can handle 950 more pounds.

Step-by-step explanation:

Since the elevator can handle 2,000 lb, and there is currently 1,050 lb on it, you have to subtract the weight that the elevator can handle from the weight that's already on it. So in other words, do 2000 - 1050.

Please like and mark brainliest!

Hope it helps!

Like Terms or Unlike Terms: 8x + 88x +23x

Answers

Answer:

The terms are like.

Step-by-step explanation:

Like terms are terms whose variables and, if applicable, powers are the same. It doesn't matter if the coefficients are the same or not.

Since the terms have the same variable 'x', they are all like terms.

Hope this helps.

6x - 2y = 10
y = -2x + 10

Answers

Answer:

(3,4)

Step-by-step explanation:

Step-by-step explanation:

6x-2y=10

y+2x=10

2y+4x=20

6x-2y+2y+4x=10+20

10x. =30

X=3

y+2x=10

y+6=10

y=4

A lamp post casts an 18ft shadow. If Chris’s shadow is 6ft long and his height is 5.25ft, what is the height of the lamp post?

Answers

Answer:

15.6

Step-by-step explaination:

So first you have to find how much longer the shadow is from the actual. That is 1.15384615385 or about 1.15.

You take that and divide it by 18 and you get 15.6

help me pretty please ​

Answers

Answer:

I believe its 3.4-?

Step-by-step explanation:

Please help last question and I can get out of class

Answers

Answer:

g = 7/5 + 3r/10

Step-by-step explanation:

Brainlest plss

.........................

Answers

Answer:

x=10, y=20

Step-by-step explanation:

180-20-=160

160-90=7x

7x=70

x=10

5x+2y=90

5(10)+2y=90

50+2y=90

2y=40

y=20

Hope this helps! :)

Answer:

x=10     y= 20

Step-by-step explanation:

to find x use the 20* and the 90* from the top to get 110

then use the straight  line to subtract 110     180-110=70  

then do 70 / 7 =10

to find y solve for 5x first to get 50 add 70* from the vertical angle to get 120

then use the vertical angle from 20* to get 140

then use the straight line to subtract  140          180-140=40

then do 40/2 = 20

GUYS PLEASE HELP ME RIGHT NOW THIS IS URGENT OMGGG. Way is the slope and y intercept?

Answers

Answer: Slope:4; y-intercept: (0,0)

Step-by-step explanation:

To find the slope:

1. Take two points, I'm going to take (3,12) and (2,8).

2. Put it into the slope equation: [tex]\frac{8-12}{2-3}[/tex] => [tex]\frac{-4}{1}[/tex] => 4

Slope is 4!

Find the y intercept: Its already in the table for you.

(0,0)

Have a nice day! :D

Help plzzzzzzzzz!!!!!

Answers

Answer:

x=1

Step-by-step explanation:

Next time download Microsoft math

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