Write the equation of a circle if its diameter has endpoints (2, 1) and (6, -3).

Answers

Answer 1

Answer:

y = -x + 3

Step-by-step explanation:

Given:

Coordinates are (2, 1) and (6, -3)

y = mx + c

For Coordinate (2, 1)

1 = m(2) + c

1 = 2m + c ........... Eq1

For Coordinate (6, -3)

-3 = m(6) + c

-3 = 6m + c ........... Eq2

From Eq2 - Eq1

6m - 2m = -3 - 1

4m = - 4

m = -1

From eq 1

1 = 2m + c

1 = 2(-1) + c

1 = -2 + c

c = 2 + 1

c = 3

So,

y = mx + c

y = (-1)(x) + 3

y = -x + 3


Related Questions

Help! I’ll give brainliest if I can!

Answers

Answer:

1) I can use the hours and number of packages to help solve the problem

2) I go to the number 3 and go up from there (answer 45)

3) the packages a driver can deliver in a 7 hour day is 105

4)divided 15 from 120

Step-by-step explanation:

1) question 4) you find out how much packages he deilivers in an hour

2) question 4) its 15

3) question 4) divided 10 from 120 :)

Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?

Answers

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

Help please I don't understand.

Answers

Answer: Segment XY is tangent to the circle.

===========================================================

Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

XY = 9.6WX = WZ+ZW = 6.4+6.4 = 12.8YW = 16

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

please help i need help

no links or ill report you

Answers

The answer is d... 2 11/12

Will give brainliest

The ages of two groups of karate students are shown in the following dot plots:


A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26.


The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data?


Group A has greater variability in the data.

Group A has less variability in the data.

Group B has a lower range.

Group B has a lower mean.

Answers

Answer:

Group A has greater variability in the data.

Step-by-step explanation:

We use elimination. Clearly, from the MAD, Group A has greater variability in the data.

So, choice 1.

Find the slope-intercept equation of the line that passes through (2,-5) and has a slope of 1/3 ​

Answers

Answer:

y = 1/3x - 17/3

Step-by-step explanation:

Given:

Passes through (2, -5)

m = 1/3

Slope-intercept:

y - y1 = m(x - x1)

y - (-5) = 1/3(x - 2)

y + 5 = 1/3x - 2/3

y = 1/3x - 17/3

HELP AGAIN PLEASE THANK YOU

Answers

Answer:

A. 10/11

Step-by-step explanation:

[tex]A. \: 10 \sqrt{11} [/tex] ✅

Step-by-step explanation:

[tex]( \sqrt{22} )(5 \sqrt{2} ) \\ = 5 \sqrt{22 \times 2} \\ = 5 \sqrt{2 \times 2 \times 11} \\ = 5 \sqrt{ {2}^{2} \times 11 } \\ = 5 \times 2 \sqrt{11} \\ = 10 \sqrt{11} [/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?

Answers

Step-by-step explanation:

Write what you know

mean is: Sum of all data points / Number of data points

any unknown number we'll call x

so youd write

(x + $3191) / 2 = $4444

Solve for x

let me know if you need further help

Three same-sized cubes are attached to the top of a rectangular prism as shown below
If 5 cm, b = 18 cm, and c = 2 cm, what is the surface area of the figure?
ANSWER ASAP!! PLEASE!!

Answers

Answer:

458 cm²

Step-by-step explanation:

5 × 5 × 2 + 5 × 18 × 4 = 50 + 360 = 410

2 × 2 × 4 × 3 = 48

410 + 48 = 458

Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?

Answers

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

What are the x-intercepts of the graph of y = x2 + 7x + 10?

Answers

Answer: x-int : (-2,0), (-5,0)

y-int: (0,10)

Step-by-step explanation:

A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station at a random time. Express each probability as a decimal.

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

There are 250 students in a class the ratio of boys to girls is 3:2 how many boys are there?

Answers

Answer:

total no of children = 250

let no.of boys be = 3x

let no.of girls be = 2x

equation = 3x+2x= 250

              = 5x= 250

             = x= 250\5

             = x= 50

so, no,of boys = 3x = 3x50 = 150

and no,of boys = 2x = 2x50 = 100

heres ur ans ,

hope it does help u !

if so plz mrk the brainliestt !!!!!

The three point line on a basketball court forms a semi circle. For middle school, it has a diameter of 34 feet. What is the area of the semi circle?

Answers

Answer:[tex]454.019\ ft^2[/tex]

Step-by-step explanation:

Given

Diameter of semi-circle is [tex]d=34\ ft[/tex]

So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]

Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]

[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]

Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]

11. A skateboard ramp has a slope of 1/2. What is the angle the ramp makes with
the ground to the nearest degree?

Answers

we are given with the slope of a ramp that is equal to 2/5, that is x = 5 and y = 2. In this case, we can find the angle of elevation by using the formula: tan Ф = y/x
using a calculator (inverse tangent or arctangent), Ф = 21.8 degrees. In this case, the answer is D. 22 degrees.

Use the given scale factor in the side length of the scale drawing to determine the side links of the real object

Answers

Answer:

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

Step-by-step explanation:

Here is the complete question. Please find attached a diagram showing the scaled and real drawing

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object

A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long

B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long

C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long

D. side a is 175 inches long,side b is 150 inches long, and side c is inches long

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

The scaled drawing is an enlarged image of the original triangle.

It is enlarged at a ratio of 5:1

original dimensions

a = 35/5 = 7

b = 30 / 5 = 6

c = 15/5 = 3

On Monday, a museum had 600 visitors. On Tuesday, it had 740 visitors. Estimate the percent change in the number of visitors to the museum.​

Answers

15 percent I think :)))))))))))))))))(

Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for ed is

Step-by-step explanation:

16 and 10

please help i have to leave soon!! will give brainliest and no links hurry plezzz

Answers

Answer:

1/18

Step-by-step explanation:

There are 2 ways to get the sum of 11

5,6 and 6,5

therefore 2/36=1/18

John receives a $20000 salary for working as an agent. If John has to spend $11000 of his salary on expenses each year, then what percent of John's money does he have to spend?

Answers

Answer:

55%

Step-by-step explanation:

Percent spent = (amount spent / total income) x 100

( $11000 /  $20000) x 100 = 55%

help please!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

[tex]{ \boxed{a = 3.75}}[/tex]

[tex]{ \boxed{b = 16}}[/tex]

Step-by-step explanation:

[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]

If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?

Answers

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

I need help please I don’t understand it :(

Answers

Answer:

[tex](8)[/tex] → [tex]x-(8+2)[/tex]

[tex](9)[/tex] → [tex]x+(8-2)[/tex]

[tex](6)[/tex] → [tex]5-n[/tex]

[tex](5)[/tex] → [tex]8-x[/tex]

[tex](2)[/tex] → [tex]5-n[/tex]  

[tex](7)[/tex] → [tex]x+(5+7)[/tex]

[tex](4)[/tex] → [tex]x-8[/tex]

[tex](10)[/tex] → [tex]x+x[/tex]

[tex](1)[/tex] → [tex]n+5[/tex]

[tex](3)[/tex] → [tex]x+8[/tex]

-------------------------

hope it helps...

have a great day!!

What is the simplified form of 4 X ? 3 + 7?

Answers

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?

Answers

Answer:

8.07 inches

Step-by-step explanation:

7.29+0.78=8.07

please anyone help asap

Answers

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

In circle S with \text{m} \angle RUT= 30m∠RUT=30, find the \text{m} \angle RSTm∠RST.

Answers

Mmnsjsjjsdjdjdjdjdjddjdjd

Answer:

m∠RST= m RT= 60°

⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒

m RT=2 m∠ROT= 2 (30)=60°

✎--------------

hope it helps...

have a great day!!

picture, will give brainliest if its correct!!

Answers

Answer: the answer is 100

Step-by-step explanation:

80°

Every angle in a triangle adds up to 180°.
45° + 55° = 100°
180° - 100° = 80°

Please help me with this.

Answers

Answer:

maybr 6,9,0

Step-by-step explanation:

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

is it 7?

Step-by-step explanation:

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