1. Find the equation of the circle that has a line segment with end points (18,-13) and (4,-3) as the circle diameter. The equation takes the form (x - h)2 + (y - k)2 = 2. Where h is the x coordinate, k is the y coordinate of the center and r is the radius of the circle. h = k =​

Answers

Answer 1

Answer:

           (x - 11)² + (y + 8)² = 74

Step-by-step explanation:

The equation takes the form (x - h)² + (y - k)² = r², where  h is the x coordinate, k is the y coordinate of the center and r is the radius of the circle.

The center of circle is the middle of diameter.

The radius is the distance between the center and any point from the circumference of a circle.

The middle of diameter:

[tex]\left(\frac{18+4}2\,;\,\frac{-13-3}2\right)=\left(\frac{22}2\,;\,\frac{-16}2\right)= \left(11\,;-8\right)[/tex]   ⇒ h = 11, k = -8

The distance between the center and point (4,-3)

[tex]r=\sqrt{(11-4)^2+(-8-(-3))^2}=\sqrt{7^2+(-5)^2}=\sqrt{49+25}=\sqrt{74}[/tex]

so the equation:

(x - 11)² + (y - (-8))² = (√74)²

(x - 11)² + (y + 8)² = 74


Related Questions

Helps me solve this problem please please

Answers

IT LOOKS LIKE transtive:)))))

Answer:

D

Step-by-step explanation:

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Use the information to answer the following question.
the table shows the relationship between the number of hours, h, jorge has been hiking
and the total distance, d,he has traveled in kilometers.
The graph shows the distance sara hiked over the same period of time.
who hikes faster?Explain.

Answers

Answer:

Step-by-step explanation:

Sara is faster she got a longer distance to Jorge

Find the GCF of 38 and 49.

Answers

Answer:1

Step-by-step explanation:

I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1

Answer: The greatest common factor is 1

Step-by-step explanation:

49 is not even like 38 so the only one they have together in 1.

What is the average rate of change for a
babysitter that earns $9 for 1hr and $36
for 4 hrs?
3

Answers

$9 is the average rate of change!

Juan has a bottle with 50 liters of Power Aid in it. He is going to divide the Power Aid evenly between 8 of his friends after football practice. How m
will each friend get?
42 liters
B 400 liters
C 6.25 liters
D 12.5 liters

Answers

C 6.25 litres as 50/8 = 6.25

Answer:

C. 6.25 liters

Step-by-step explanation:

50 ÷ 8 = 6.25

Write an equation of a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3

Answers

Answer:

y = (-3/5)x + 4

Step-by-step explanation:

Parallel lines have the same slope.

So the slope to the other line would be -3/5 as well.

Slope-intercept form is y = mx + b where m is the slope.

So you substitute the slope in making it y = (-3/5)x+b.

To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.

To simplify that, it would get to 1 = -3 + b

Then you add 3 on both sides getting to b = 4.

Then you substitute b in, getting y = (-3/5)x + 4.

Hope this helped! If not, please let me know! <3

An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, the slope of a line parallel to given line is m1=m2

By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5

So, the slope of parallel line is -3/5

Now, put m= -3/5 and (x, y)=(5, 1), that is

1=-3/5 (5)+c

c= 4

So, equation with m=-3/5 and c=4, we have y=-3/5 x+4

Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

What is the slope, the Y-intercept and the equation for this graph??

Answers

try y=1/2x + 1 i did solved for the slop .

Answer:

equation of the line: y=1/2x-1

slope :1/2x

y intercept: -1

Step-by-step explanation:

using y1-y2/x1-x2:

-1-0/0-2= -1/-2=1/2

the slope is 1/2.

plug in the numbers from the given points to find the y intercept:

-1=1/2•0+b

b= -1

the y intercept is -1.

with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.

so, the equation of the line is y=1/2x-1

If the linear regression is y = 5.21 + 0.35x, what is the value of the slope?

Answers

Answer:

Slope is 0.35

(O, 5.21)

Step-by-step explanation:

Use y= m x + b

Y=0.35 + 5.21

Tyler looks at a map on his phone. He zooms in until the map scale for centimeters to kilometers is 0.3 to 1/5. How many centimeters does the map use to show 1 kilometer?

Answers

one kilometer is equal to a hundred thousand centimeters

find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7

Answers

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

=3×22×0.5×3.5

=115.5cm²

Answer:

[tex]19.25cm^{2} \\[/tex]

Step-by-step explanation:

Formula

[tex]\frac{\pi r^{2} }{2}[/tex]

Solve

[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=

[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]

Convert 8 ounces into grams. Round your answer to the nearest whole number.

Answers

Answer:

227 g

Step-by-step explanation:

it would be 226.8 g

to find grams from ounces, multiply the ounces by 28.35 for an approximaye answer

First to awnser will the question correct will get brainlyist
The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

The Massachusetts Body of Liberties __________.Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5)?

Answers

Answer:

Step-by-step explanation:

The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.

So who wants to help mehhhhh

Answers

Answer:

I will

Step-by-step explanation:

Multi Step Problem (Show work!!)

-4 + -5 = 8​

Answers

Answer:

the answer is -9 not 8

Step-by-step explanation:

If 4x = 64,
find the value of 2x + 3.

Answers

Answer:

35

Step-by-step explanation:

4x=64

divide that: =16

x=16

2(16)+3

35

The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent

Answers

Answer:415.65

Step-by-step explanation:

Answer:

415.65

Step-by-step explanation:

trust me

Use the diagram of trusses for a railroad bridge.

AM I CORRECT DO I NEED TO ADD AN ANSWER OR TAKE AWAY ONE

Answers

You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.

E is wrong because you don't know if line AC is perpendicular to DA, nor do you know if it's parallel to DF. And you don't know if DA is parallel to BE either. You ONLY know that BE is the perpendicular bisector of DF.

Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years

Answers

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

Can somebody help me please I needed this for the longest (3x+2) and (x-7)

Answers

Answer:

They intercept at (-4.5, -11.5)

Step-by-step explanation:

-3x-4=-5y-8 what is the y-intercept and x-intercept

Answers

Answer:

3/5x + 4/5 = y

or

y = 3/5x + 4/5

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To find the y-intercept just need to put 0 instead of x in the equation.

[tex] - 3(0) - 4 = - 5y - 8[/tex]

[tex] - 4 = - 5y - 8[/tex]

Add sides 8

[tex] -4 + 8 = - 5y - 8 + 8[/tex]

[tex] 4 = - 5y[/tex]

Divide sides by -5

[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]

[tex]y = - \frac{4}{5} \\ [/tex]

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To find the x-intercept just need to put 0 instead of y in the equation.

[tex] - 3x - 4 = - 5(0) - 8[/tex]

[tex] - 3x - 4 = - 8[/tex]

Add sides 4

[tex] - 3x - 4 + 4 = - 8 + 4[/tex]

[tex] - 3x = - 4[/tex]

Negatives simplifies

[tex]3x = 4[/tex]

Divide sides by 3

[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]

[tex]x = \frac{4}{3} \\ [/tex]

Done...

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In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is

Answers

Answer:

where is the figure and without figure what to do

TBH I don't know what grade it is but who ever answers this is gonna get brainlest. The question is if Jonny had a coupon for a 74% off and he got something for $259 how much will he have to pay.​

Answers

$67.34. if you multiply the total amount of money he has (259) by the percentage of (74) you will get (19,166). you then will divide the total by (100). which then gives you ($191.66) that will be given off. so you then subtract the total of money he has (259) by (191.66) which will give you (67.34). he will be paying ($67.34).

MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Vertical stretch of 2

Step-by-step explanation:

Since there is no fraction, it wouldn't be a shrink, and there's a negative symbol therefore it would also be a reflection, and it wouldn't translate down because it's not inside parenthesis or the square root, and it would actually translate up three, therefore it's a vertical stretch of two

Find all whole values for y for which the double inequality is true: -5

Answers

Answer:

The values of y for which the inequality is true are;

-4,-3,-2,-1,1,0,1

Step-by-step explanation:

Here, we want to give all the values of y for which the given inequality is true

We have the inequality as;

-5 < y < 2

This can be read as -5 is less than 5 which is less than 2

This means that the correct y-values lie between -5 and 2 which are not inclusive

So the correct values of y in this case are;

-4,-3, -2, -1 , 0, 1

Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries. If Joy wants to use 6 cups of blueberries in the fruit salad, how many cups of strawberries will she need to use? Use Scratchpad to draw a tape diagram to show your work.

Answers

Answer:

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

x be the cups of strawberry for 6 cups of blueberries.

Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries

Product of extreme = Product of mean

Dividing both sides by 2

12 cups equal:
A. 3 gallons
B. 6 quartz
C. 2 gallons
D. 24 quartz
E. 6 pints

Answers

Answer:

6 pints

Step-by-step explanation:

I just asked Alexa

6 pints

12 cups equals 6 pints

Sam starts his hike at an elevation of 311 feet above sea level. When
he reaches the end of the hike, he is 6371 feet above sea level. What
was the change in elevation from the start of his hike to the end?
label optional

Answers

Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

The answer is 6060 feet

what is 1,935,825 in scientific notation ?

Answers

answer:1.935825×10 to the sixth power

step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.

1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.

Answers

Answer:

correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum doesn’t terminate or repeat

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