- Find the coordinates of A if B(0,5.5) is the midpoint of AC and C has coordinates

(-3,6).

Answers

Answer 1

Given:

Coordinates of point C are (-3,6).

Point B(0,5.5) is the midpoint of AC.

To find:

The coordinates of A.

Solution:

Let the coordinates of point A are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the above formula, the midpoint of A(a,b) and C(-3,6) is

[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]

[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{a-3}{2}=0[/tex]

[tex]a-3=0[/tex]

[tex]a=3[/tex]

and,

[tex]\dfrac{b+6}{2}=5.5[/tex]

[tex]b+6=11[/tex]

[tex]b=11-6[/tex]

[tex]b=5[/tex]

Therefore, the coordinates of point A are (3,5).


Related Questions

And Louisa bakes a batch of brownies she is 1/2 cup of chocolate. If she has 3/2 cups of chocolate remaining how many batches of Brownies can Louisa make.

Answers

If she can make 1 batch with 1/2 then with 3/2 she can make 3 batches

Rylie paid $12 for two cans of racquetballs as shown in the tape diagram, where the green bars represent the amount she spent, and the blue bars represent the number of cans she bought. She needs to purchase three cans of racquetballs. How much will she pay?

Answers

The answer Is 18 dollars

Answer:

18$

Step-by-step explanation:

If Rylie paid 12$ for two cans, then divide twelve by two then you'll get 6$ so 6$ is one can so multiply six by three and you will get 18$ for three cans.

sorry if I'm wrong I'm trying to help.

How many times larger is 5 × 10^6 than 5 × 10^2​

Answers

Answer:

3 times

Step-by-step explanation:

The number 5 x 10⁶ is 10000 times greater than the number 5 x 10².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the numbers are 5 x 10⁶ and  5 x 10². How many times the number is greater will be calculated by dividing the bigger number by the smaller number.

E  = ( 5 x 10⁶)  / ( 5 x 10² )

E = 10000

Therefore, the number 5 x 10⁶ is 10000 times greater than the number 5 x 10².

To know more about an expression follow

https://brainly.com/question/28602085

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Maya needs to drive miles to work. So far, she has driven miles. How many more miles must she drive?

Answers

Answer:7

Step-by-step explanation:

7 beacause she is far away

Answer:

unknown

Step-by-step explanation:

we need more stuff to go off of

5/8 divided by 5 what is the answer in fraction form

Answers

Answer:

1/8

Step-by-step explanation:

In how many ways can 11 bowlers be
selected from 25 who came to a bowling ally?
using npr or ncr

Answers

Answer:

Yes ans = 27720. Total possibilities = C(4,1) * C(6,4) * C(11,6) = 27720.

HELP ME PLEASE THIS IS RIGHT ONE DONT GIVE WRONG ANSWER PLS 3

Answers

Answer:

33.32 m squared

Step-by-step explanation:

34 divided by 20 equal 1.7

19.6 times 1.7 equal 33.32

hope this helps you;)

pls Mark brainlest :)

I BET NO ONE KNOWS THIS QUESTION which of the following is a social norm?

A. Stopping at a red light in an intersection
B. Caring for an elderly neighbor by pulling her weeds once a week
C. A group of hispanic families who choose to live in the same neighborhood or community
D. All the choices are correct

Answers

Answer:

D. All the choices are correct

I think that's the right answer, if it isn't than my bad!!

Make ”a” the subject of the formula 9a-8=2(a-b)

Answers

Answer:

Step-by-step explanation:

9a - 8 = 2a - 2b

7a - 8 = -2b

7a = 8 - 2b

a = (8 - 2b)/7

9 in.
6 in.
the volume of the party
closest. In cubic inches

Answers

I think it’s 54








Good luckkk

Solve for n: 6n+2+4n=52

Answers

Answer:

5

Step-by-step explanation:

6n+2+4n=52

10n=50

n=5

The answer is n=5,5/1

Savanah solved the equation 3 + 4|3 plus 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 11. + 3| = 11 for one solution. Her work is shown below:

4|5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3| = 8
|5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3| = 2
5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. + 3 = 2
5 lines of math. Line 1 is, 4 StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 8. Line 2 is, StartAbsoluteValue StartFraction x Over 2 EndFraction plus 3 EndAbsoluteValue equals 2. LIne 3 is, StartFraction x Over 2 EndFraction plus 3 equals 2. Line 4 is, StartFraction x Over 2 EndFraction equals negative 1. Line 5 is x equals negative 2. = –1
x = –2
What is the other solution to the given absolute value equation?

Answers

Answer: Its -10 :)

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

on edge it works

Given f(x) = x2 − 4x + 5, find . . . .
a. f(2) b. f(-6)

Answers

Answer:f(x) = 3x2 + 5 and y = 3x2 + 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(2) = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = -4 + 5 = 1

f(-6)= (-6)^2 - 4(-6) + 5 = 36 + 24 + 5 = 60 + 5= 65

Give another name for line g

Answers

Answer:

line b

Step-by-step explanation:

A pyramid has a square base with an area of 225 2. What is the perimeter of the base of the pyramid​

Answers

Answer:

60 square unit

Step-by-step explanation:

side = √225.2 = 15

perimeter = side x 4

perimeter = 15 x 4 = 60 square unit

Tell me the slope-intercept form?

Answers

slope intercept form in y=mx+b

Step-by-step explanation:

floor gang aooh sub to pewdiepie

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

4x=2(x+6)  

4x=2x+6

2x=6

x=3

Natalie had a job after school. She worked 25 hours a week and got paid $6.25 an hour. How much money would she earn for two weeks of work?

Answers

Answer:

312.5

Step-by-step explanation:

25 x 2, for two weeks of work = 50

50 x 6.25 = 312.5

Answer:

She got paid $312.50 every two weeks,

Step-by-step explanation:

6.25 times 25 is 156.25. Multiple that by 2 and you get 312.50z

The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is l atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level? A) P 33 B) p 33f C) p 33f+ 1

Answers

Answer:

ooooooooooooooooooooooooo

The linear function that gives the total pressure exerted on an underwater object at a depth of f feet below sea level is given by:

p = l + 0.0303f.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

The pressure changes by 1 for each 33 feet of depth, hence m = 1/33 = 0.0303.The initial pressure is of l, hence b = l.

Thus, the function is given by:

p = l + 0.0303f

More can be learned about linear functions at https://brainly.com/question/24808124

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Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax. ​
A. $96.75​

B. $6.75​

C. $83.25​

D. $90.00​

Answers

A)96.75

Multiply 90 x 7.5% to get 6.75

Add to get answer

Brainliest?

You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve an equation to find the additional number x of cookies you need to bake in order to have 2 cookies for each student. Write your equation so that the units on each side of the equation are cookies per student.

Equation: The equation has to equal 2
=2
Number of cookies: x=


Please help Thank you

Answers

Answer:

12+2x=46     x=17 cookies

Step-by-step explanation:

First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.

Equation: 2n +n/2=10

Answers

Answer:

5

Step-by-step explanation:

HELP PLEASE! IM STUCK!

Answers

Answer:

D

Step-by-step explanation:

Find the value of x in the triangle shown below. Help ASAP please!! :)

Answers

This is an isosceles triangle. The two angles opposite the two equal sides are equal. With this knowledge, we now know that the angles are 61, 61, x.

We also know that the sum of all the angles of a triangle is equal to 180 degrees.

61 + 61 + x = 180.

Combine like terms.

122 + x = 180

Subtract 122 from both sides.

x = 58 degrees

Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D

Answers

Answer:

a.

Step-by-step explanation:

It appears to be increasing in increments of ten

Answer this: A) point A

Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are in the drawing. Which dimensions could he use in the scale drawing? Dimensions of Original: Length: 20 feet Width: 25 feet Answers To Choose From: 12.5 inches x 10 inches or 11 inches x 6 inches or 10 inches x 8 inches or 12 inches x 9 inches

Answers

Answer:

D; 21

Step-by-step explanation:

Mr. Stewart is making a scale drawing of his classroom. The actual dimensions of the room are shown below.


Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?

Answers

Answer:

0.4

Step-by-step explanation:

The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become

P(B)=number of black marbles divide by total number of marbles

P(B)=6/15

P(B)=0.4 OR 40%

Therefore the probability that Tommy will pick black marble is 0.4 or 40%

An airline records data on several variables for each of its flights, model of plane, amount of fuel used, time in flight,
number of passengers, and whether the flight arrived on time. The number and type of variables recorded are
1 categorical, 4 quantitative (1 discrete, 3 continuous)
O 3 categorical, 2 quantitative (1 discrete, 1 continuous)
O 1 categorical, 4 quantitative (2 discrete, 2 continuous)
2 categorical, 3 quantitative (1 discrete, 2 continuous)
O 2 categorical, 3 quantitative (2 discrete, 1 continuous)

Answers

Answer:

The correct option is;

2 categorical, 3 quantitative (1 discrete, 2 continuous)

Step-by-step explanation:

A categorical variable which is otherwise known as a nominal variable is one which can be qualified as belonging to one class or category of objects or the other, depending on its attributes, and not based on order of the classes.

Therefore;

1) The model of the plane, and 2) whether the flight arrived on time, are categorical variable

A quantitative variable is a variable that indicates measurement and therefore, indicates the numerical magnitude of a measurement.

Therefore;

1) Amount of fuel used, 2) Time in flight, 3) The number of passengers are quantitative variables

Quantitative variables can be either discrete or continuous

A discrete quantitative variable is one that has a finite number of possible values or which may have an infinite but countable number of values

Therefore;

1) The number of passengers which is countable and exact is a discrete quantitative variable

A continuous variable is one whose exact or accurate value range is infinite or a variable with a limitless value set such as the range of values between two real numbers

Therefore;

1) Amount of fuel used and 2) Time of flight are continuous quantitative variables.

Question is -4x + 14 = 54

Answers

Answer: x = -10

Step-by-step explanation:

-4x + 14 = 54
-4x = 54 - 14
-4x = 40
x = 40/-4
x = -10

really easy questions just too lazy to solve them - will give a lot of points - answer as many as you want

Answers

Answer:#8 Ryan is 10 years old.

Step-by-step explanation:

Answer:

3. I think $4

Step-by-step explanation:

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