Given the points R(-4, 5) and S(2, -1). Find RS, the midpoint of RS, and point P which is 13 of the distance from R to S. Leave your answer as a simplified radical.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the points R(-4, 5) and S(2, -1), to get the distance between the points, we will use the formula;

D = √(x2-x1)²+(y2-y1)²

Given x1= -4, y1 = 5, x2 = 2 and y2 = -1

RS = √(2-(-4))²+(-1-5)²

RS = √(6)²+(-6)²

RS = √36+36

RS = √72

RS = √2×36

RS = 6√2units

To get the midpoint, we will use the formula M(X,Y) = (x1+x2/2, y1+y2/2)

(X,Y) = (-4+2/2, -1+5/2)

(X,Y) = (-2/2, 4/2)

(X,Y) = (-1,2)

Hence the midpoint is (-1,2)

To get a point P 1/3 of the distance of RS, we will multiply 1/3 with the the distance RS as shown

P = 1/3 × 6√2

P = 2√2


Related Questions

Help please math what is the inverse of the function

Answers

I hope this helps you

I need help please someone help me !!!!!!

Answers

17.) 49
18.) 14
19.) 42.3
20.) 111.1

Hopefully these are eighth if not I’m sorry

b) The number when 75% of the number is 12

Answers

Answer:

16

Step-by-step explanation:

(75/100)*x=12

75x=12*100

75x=1200

x=1200/75

x=16

Answer:

16

Step-by-step explanation:

divide 75 by 100

multiply 12 by 100

which is 1200

divide 1200 by 75

and your answer is 16

(-1)² + (-2) + (-3)² + (-4)²​

Answers

Answer: GIVE MEEEE BRAINLIEST PLEASE

(−1)2−2+(−3)2+(−4)2

=24

Step-by-step explanation:

(−1)2−2+(−3)2+(−4)2

=24

Can someone please help me out with this? Honestly have no idea how this table works

Answers

I could help you with math

Translate the following mathematical sentence into an algebraic expressionſequation.
Five less than the product of seven and a number is forty-two.

Answers

Answer:

(7+x)-5=42

Step-by-step explanation:

Follow me for more answers If you like my way of solving

I need help it says what could I change in this polynomial to make them like terms.
[tex] {2x}^{2} + 5x - 6y + 2y - 7[/tex]

Answers

Answer:

2x² + 5x - 4y - 7

Step-by-step explanation:

combine the like terms -6y and 2y

2x² + 5x - 6y + 2y - 7

2x² + 5x - 4y - 7

How many rational numbers are between 1 and 6?

Answers

one ans six are infinite

Which problem is modeled?

0.8 – 0.5 = 0.3
0.08 – 0.03 = 0.05
0.8 – 0.3 = 0.5
0.08 – 0.05 = 0.03

Answers

Answer:

The answer is 0.8-0.3=0.5.

Determine whether the graph is the graph of a function. (2 points)

Answers

Answer:

yes it is a function

Step-by-step explanation:

if you put three lines on the line of the line passes more than 1 it is not a function

match with the appropiate property:​

Answers

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

hope this helps! :)

Answer:

Pemdas

Step-by-step explanation:

parenthesis

exponents

multiplication

division

addition

subtraction


Solve the equation by inserting the assigned value.
NH
(6a - 10) = 12 – (6 - 3a), when b=11
A = ?

Answers

Answer:

a = 5.333..  or 5 1/3

Step-by-step explanation:

I am not sure what your question is but it looks like you need to solve for  a.

Based on that fact:

6a - 10 = 12 - 6 +  3a      you multiply -1  by each term in the parenthesis

Then it is simple algebra

6a -10          =        6+ 3a

     +10               + 10                   add 10 to both sides

6a                =  16  + 3a

-3a                         -3a                 add  -3a to both sides

3a  = 16                     Divide both sides by 3

a = 5.3333

If Qr=58 and pq=13 find pr

Answers

Answer:

PR=71

Step-by-step explanation:

visualize:

P                Q               R

O-------------O-------------O

       13               58

so if PQ + QR = PR, than 13+58=PR

13+58=71

PR=71

The value of the segment PR will be 71.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the value of the segment Qr=58 and pq=13. The value of segment PR will be calculated as below:-

PR = QR + PQ

PR  = 13 + 58

PR = 71

Therefore, the value of the segment PR will be 71.

To know more about a line segment follow

https://brainly.com/question/18315903

#SPJ2

A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 8 x − 40. F(x)=8x−40. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Domain = [0, ∞).

Step-by-step explanation:

he profit, in dollars, when the company sells x shirts can be found using the function

[tex]f(x)=8x-40[/tex]

For x=0,

[tex]f(0)=8(0)-40=-40[/tex]

It means, if company sells 0 shirts, then company makes loss (because of negative sign) of $40.

For x=5,

[tex]f(5)=8(5)-40=0[/tex]

It means, if company sells 5 shirts, then company makes profit of $0 means no loss no profit.

For x=10,

[tex]f(10)=8(10)-40=40[/tex]

It means, if company sells 10 shirts, then company makes profit of $40.

Domain is the set of input values.

We know that number of shirts can not be negative, therefore the value of x is always greater than or equal to 0.

Domain = [0, ∞).

Therefore, the domain for the function is [0, ∞).

-4x + 3y + 2x = what does this equal?

Answers

The answer is -2x+3y

Hey hons. I will dub the brainliest. please help tho. Remember, the answer isn't zero. Reward: Brainliest! (:

Answers

Answer:

The answer is 10

Step-by-step explanation:

Answer:

Answer is 10!

Step-by-step explanation:

13 If B is the midpoint of AC, and AC = 8x – 20,

find BC.

3x-1

А в

Answers

Answer:

BC = 26

Step-by-step explanation:

Given that:

B is the midpoint of AC

Then AC = AB + BC

AC = 8x - 20 and AB = 3x - 1

Then,

8x - 20 = (3x - 1) + BC

8x - 20 - (3x - 1) = BC

8x - 20 - 3x + 1 = BC

5x - 19 = BC

But AB = BC

5x - 19 = 3x - 1

5x - 3x = - 1 + 19

2x = 18

x = 9

Hence,

Since BC = AB = 3x - 1

3(9) - 1

27 - 1

= 26

HELP !!! Evaluate f(-2) for the function f(x) = 3x2 + 2x - 5

Answers

Answer:

3

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x^2+2x-5[/tex]

To evaluate the value of f(-2), substitute -2 for x. Thus:

[tex]f(-2)=3(-2)^2+2(-2)-5[/tex]

Square first:

[tex]f(-2)=3(4)+2(-2)-5[/tex]

Multiply:

[tex]f(-2)=12-4-5[/tex]

Now, subtract:

[tex]f(-2)=8-5=3[/tex]

So:

[tex]f(-2)=3[/tex]

And we're done!

PLZ HELP!!!! A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

Step-by-step explanation:

y = 6x − 4

y = 5x − 3

A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b

x                   y=6x-4                  y=5x-3

1                    y=2                        y=2

2                    y=8                        y=7

0                     -4                            -3

slope  :

y=6x-4    slope is 6            y intercept(0,-4)

y=5x-3      slope is 5          y intercept (0,-3)

solution of the pair of equation is  the point of intersection :

6x-4=5x-3

6x-5x=-3+4

x=1   and y=6x-4   ⇒ y=6-4=2

(1,2)

HELP ME PLEASE!!! D:

at the grocery store, choco bars outsells cinnamon granola bars by a five-to-one ratio. if the store sold 246 bars, how many of them were cinnamon granola bars?​

Answers

Answer:

205 : 41

or 41 cinnamon bars

41 cinnamon granola bars. First divide the total by the two numbers of the ratio, in this problem divide 246 by (5+1). In this case that is 41. Then multiply that by the side of the ratio that you’re looking for In this case 1 because that represents the cinnamon granola bars. Then solve that (41*1) and you are left with the answer of 41.

The ratio of red marbles to blue marbles is 3:5. If there are 225 blue marbles total in the collection, how many of each color are there? Please show your work.

Answers

Answer:

Red balls =  84     Blue balls =  140

Step-by-step explanation:

Ok so there are 225 marbles

And ratio here is Red : Blue = 3 : 5

So Red marbles = 3x whereas Blue marbles = 5x

Therefore,

3x + 5x = 225

8x = 225

x = 28.125 = 28

Red balls = 28*3 = 84     Blue balls = 28*5 = 140

(Pls check whether total no of balls is 224)

Carlos gives a cashier a $20 bill. He is buying an item for $3.44. How much money should Carlos get back?

Answers

Answer:

$16.56

Step-by-step explanation:

Answer:

Carlos should get back $16.56

what is 5x-4x+8 Really need to earn 50 points

Answers

Answer:

x+8 i used mathaway i recommend it for math

[tex]5x - 4x + 8\\x + 8\\\\ahi queda creo \\pero si esque te confundiste y pusiste "-" en vez de poner "=" seria:\\5x = 4x + 8\\x = 8\\xd 7w7[/tex]

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?

Answers

Answer:

184 jumping jacks = 4 minutes

Divide by 4 on both sides.

4/4 = 1

184/4 = 46

Delilah does 46 jumping jacks in 1 minute.

12y=156
Solve for the Variable

Answers

Answer:

13

Step-by-step explanation:

12y = 156

y = 156 ÷ 12

y = 13

5n+6+(−7n) what's is the answer

Answers

Answer:

The simplified answer is -2n+6

Step-by-step explanation:

All you have to do is simplify terms. -7n and 5n are terms you can combine, giving you -2n and +6 cant be simplified

The circumference of a quarter is approximately 7.54 mm. What is its diameter to the nearest tenth of a millimeter? (π = 3.14)

Answers

Answer:

2.40mm

Step-by-step explanation:

In this problem. we are required to solve for the diameter of a circle.

Given data

circumference of circle c= 7.54mm

we know that the expression for the circumference is given as

c= 2πr

We can substitute our given data to solve for r

7.54= 2*3.142*r

7.54=6.284*r

divide both sides by 6.284 we have

r= 7.54/6.284

r= 1.199

diameter = 2*r

diameter= 1.199*2

diameter= 2.399

to  the nearest tenth

diameter= 2.40mm

find the area of each polygon created by the coordinates (4,4), (7, -1), (7,-4), (1,-4), (1, -1)

Area=____

Answers

Step-by-step explanation:

thats what I got hope this helped you out

6x+5=23
Explain the steps used to solve

Answers

Answer:

x = 3

Step-by-step explanation:

Step 1:

6x + 5 = 23

Step 2:

6x = 18

Answer:

x = 3

Hope This Helps :)

The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x - 100
What is the value of x?
O A. 25
B. 20
10
OD. 28

Answers

Answer:

The answer will be B. 20

Step-by-step explanation:

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