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

Not too hard! Would appreciate help

Answers

Answer:

1,3

Step-by-step explanation:

Mark packed 1-inch cubes into a box with a volume of 96 cubic inches. How many layers of 1-inch cubes would it take to fill the box?

Answers

Answer:

4 approx.

Step-by-step explanation:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.

let the N be the number of layers of 1-inch cubes that would it take to fill the box.

Since the larger box is also a cube

Therefore, 96 = N^3

N = (96)^(1/3)

N = 4√6

Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer

What is the value of the expression (x – y)2 when x = 5 and y = -1
A. 36
B. 16
C. 4
D. 24

Answers

Answer:

36

Step-by-step explanation:

You are given an expression and values to be put into it.

Simply substitute the values in instead of [tex]x[/tex] and [tex]y[/tex].

[tex](x-y)^2[/tex]

When [tex]x=5[/tex] and [tex]y=-1[/tex]:

[tex](5-(-1))^2 = (5+1)^2=(6)^2=36[/tex] - Note: Be careful with negative signs here. Two negatives make a positive.

Set up an equation for the value of x.

Answers

Answer:

x = 27

Step-by-step explanation:

∠ GAF = 90° , then

x + 63 = 90 ( subtract 63 from both sides )

x = 27

Answer:

27

Step-by-step explanation:

Angle x and 63 are complementary angles forming 90

Therefore,

90 - 63 = x

27 = x

Factor the following, I will give 5 stars and thanks.

Answers

Answer:

13) [tex]n=-3,-7[/tex]

14) [tex]b=-4,-8[/tex]

15) [tex]m=-7[/tex]

16) [tex]a=-5,-7[/tex]

Step-by-step explanation:

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 1212 feet apart.





How many trees can they plant on 22 miles of streets? 52805280 feet = 11 mile.


trees

Answers

Answer:

880

Step-by-step explanation:

Can someone pls help me find this is important

Answers

Answer:

x=90° and y=35°

Step-by-step explanation:

to get x and y first you must find the middle angles based on the information you have so:

35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees

and then 180-x=that angle that is also on the line with x so we'll call it k

so k+55+y=180°

we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°

now 35+55+k=180°

solve for the angle next to x which we called k and it is 90°

so x=90° and y=35°

after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°

sin C = .9513 find the measure of angle c to the nearest whole degree

Answers

Answer:

72º

Step-by-step explanation:

C = arcsin .9513

C = 72.045199929442813

C = 72º

please help asap!! :)

Answers

Answer:

[tex]C\approx 5.14[/tex]

Step-by-step explanation:

The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:

[tex]C=(d)(\pi)[/tex]

Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:

[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]

Substitute in the given value,

[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]

Simplify,

[tex]C=3.1415...+2[/tex]

[tex]C=5.1415[/tex]

[tex]C\approx 5.14[/tex]

The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the base of the parallelogram?
18.75 inches
25 inches
6.25 inches
12.5 inches

Answers

Answer:

12.5 inches is the correct answer.

Step-by-step explanation:

I can bet you with brainliest post if it is correct mark me brainliest and wrong then spam me(;

Mary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?

Answers

Answer:

Each piece is 1.12 meters long

Step-by-step explanation:

7 equal pieces = divide x by 7

equation: 7.84 / 7

x+y= -7 and -10x+2y=10

Answers

Answer:

x = 4

y = 3

Step-by-step explanation:

x = 10 - 2 y

 substitute  x = 10 - 2y into 2x - y = 5

20- 5y = 5

  then

  y = 3

    and

 x  = 4

Mark brainliest

What is the measure of angle y?

a- 55 degrees
b- 145 degrees
c - 72.5 degrees
d - 35 degrees

Answers

Answer:

72.5

Step-by-step explanation:

Angle X is congruent to 35

both angles y and angle x together form a line that equals 180

so for angles y, take 180 - 35 = 145

Angles y is 145/2

please help me out i need it right now !!

Answers

x = 12

Step-by-step explanation:

From Pythagorean theorem,

x^2 + 9^2 = 15^2

or

x^2 = 225 - 81 = 144

x = 12

3) We all know how toilet paper has been horded during the pandemic. Your teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to estimate the number of rolls of TP she can fit into a rectangular prism section of a closet with dimensions of 36 in. By 108 in. By 36 in. Measure a roll of TP at your home, remember it is a cylinder you need its radius and height to calculate its size. Radius: __2in_______ Height: _5in___________ About how many rolls of TP can fit into the closet section?

Answers

Answer:

I rounded to 1,591 rolls of toilet paper can fit. I have the big rolls so I may fit less than the average roll.

Step-by-step explanation:

87.96 SA Per roll

140,000 Volume for the closet.

- 1/2 + ( 3/4 x 4/9)

Answers

Answer:- 1/6

Step-by-step explanation:

-1/6






I just learned this!

what is 423/6 as a mixed number

Answers

Divide to get 70.5

turn into fraction

70 5/10=

70 1/2

Answer:

70 1/2

Step-by-step explanation:

first you have to divide 423 into 6 and then the remainder is the fraction so the answer is 70 5/10 or 70 1/2, same thing

2. Which of the following quadrilaterals have 2 pairs
of parallel sides?
O square
O rectangle
O rhombus
O trapezoid
O parallelogram

Answers

Answer: all of the above

Step-by-step explanation:

About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)

Answers

Answer:

Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.

Step-by-step explanation:

The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].

For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].

Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)

Hence, the probability that all [tex]12[/tex] jurors are available would be:

[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].

At 3:00 AM, the temperature was 44 degrees. By 7:00 AM, the temperature had risen to 60 degrees. What was the average change in temperature in degrees per hour?

Answers

60-44=16
16/4hrs= 4deg per hour

A ladder that is 6 meters long leans
against a building. The base of the
ladder is 1.5 meters from the base
of the building. To the nearest
hundredth of a meter, how far up
the building does the ladder reach?

Answers

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

What number is ten less than 658?

Answers

Answer:

658-10=648

Step-by-step explanation:

subtract 10 from 658.

A cone has a surface area of 200 pi square inches. If the radius of the
cone is 10 inches, find the length of the slant height.

Answers

Answer:

[tex]20\:\mathrm{in}[/tex]

Step-by-step explanation:

The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.

Solving for [tex]\ell[/tex]:

[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

how to do algebraic equations ​

Answers

Answer:

How to do algebraic equations

Step 1: Write Down the Problem. ...

Step 2: PEMDAS. ...

Step 3: Solve the Parenthesis. ...

Step 4: Handle the Exponents/ Square Roots. ...

Step 5: Multiply. ...

Step 6: Divide. ...

Step 7: Add/ Subtract (aka, Combine Like Terms) ...

Step 8: Find X by Division.

Alegraic expressions

1.Here are the basic steps to follow to simplify an algebraic expression:

2.remove parentheses by multiplying factors.

3.use exponent rules to remove parentheses in terms with exponents.

4.combine like terms by adding coefficients.

combine the constants.

Hope u have a nice day :)

Step 1: Write Down the Problem. ...
Step 2: PEMDAS. ...
Step 3: Solve the Parenthesis. ...
Step 4: Handle the Exponents/ Square Roots. ...
Step 5: Multiply. ...
Step 6: Divide. ...
Step 7: Add/ Subtract (aka, Combine Like Terms) ...
Step 8: Find X by Division.

Will reward the best answer brainliest.

Use elimination method to solve
-3x + 3y = 4
-x + y = 3​

Answers

no solution

to eliminate a variable you need to multiple the second equation by either a 3 and then subtract the two equations or by a -3 and add the two equations.
after changing it, instead of eliminating only one variable, both variables are eliminated and there is no solution

i hope this makes sense, not sure how else to explain

can someone pls help

Answers

z = 13/9?? i don't really know hope i helped

Answer:

B) z = 1 4/9

Step-by-step explanation:

z - 7/9 = 2/3

z - 7/9 = 6/9

z (- 7/9 + 7/9) = 6/9 + 7/9

z = 13/9

z = 1 4/9

what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall

Answers

Question 965310: what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 13 cm wide, and 12 cm tall?
Answer by Fombitz(32379) (Show Source): You can put this solution on YOUR website!
From one corner to the furthest corner,
L%5E2=14%5E2%2B13%5E2%2B12%5E2
L%5E2=196%2B169%2B144
L%5E2=509
L=sqrt%28509%29

PLEASE HELP ASAP ILL MAKE BRAINLIEST HURRY

The graph below shows the relationship between the number of tickets sold for a music concert and the amount of money collected from the sale of the tickets. (1 pt.)



Which equation represents the relationship between the tickets sold (t) and the money collected (c)?

A
c=3t

B
c=5t

C
c=10t

D
c=15t

Answers

Answer:

D

Step-by-step explanation:

I'm pretty sure its D but correct me if i got it wrong!

Can the two triangles be proven congruent? If yes, then by what method?

Answers

Answer:

the second answer choice

Step-by-step explanation:

there are two sides that are similar in size, and an angle, so it is SAS

need this to pass! please help

Answers

Answer:

452.39

Step-by-step explanation:

to find the surface area of a sphere all you need is the radius (half the diameter) and assuming the sphere touches both top and bottom that makes the radius 6 so your equation is

SA=4πr^2

SA=4*π*6^2

SA=4*π*36

SA=4*113.09

SA=452.389

then rounded up to 452.39, that is your answer

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