The midpoint of PR is (-6,9). P=(-15,4)
What are the coordinates of point R?

R=(_,_)

Answers

Answer 1

Answer:

R = (3, 14 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula

calculate the midpoint of PR using this formula and equate x and y coordinates to the coordinates of the given midpoint

let coordinates of R be (x, y ) and P = (- 15, 4 ) , then

[tex]\frac{x-15}{2}[/tex] = - 6 ( multiply both sides by 2 )

x - 15 = - 12 ( add 15 to both sides )

x = 3

and

[tex]\frac{y+4}{2}[/tex] = 9 ( multiply both sides by 2 )

y + 4 = 18 ( subtract 4 from both sides )

y = 14

the coordinates R = (3, 14 )


Related Questions

An element with mass 800 grams decays by 8.2% per day. How much of the element is remaining after 15 days,
to the nearest 10th of a gram?

Answers

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value r is the rate of interest and t is time period.

Putting [tex]a=800,r=0.082,t=15[/tex] in the above formula, we get

[tex]y=800(1-0.082)^{15}[/tex]

[tex]y=800(0.918)^{15}[/tex]

[tex]y=221.68188[/tex]

[tex]y\approx 221.7[/tex]

Therefore, the mass of the remaining element is 221.7 grams.

The graph shows the profit, y, of a community fundraiser, with respect to the number
of tickets sold, x

Use the graph to determine the y-intercept and what it represents.

The y-intercept - -700 and represents the initial amount of expenses

The y-intercept - 35 and represents the initial amount of expenses

The y-intercept - 35 and represents the number of tickets sold

The y-intercept = -700 and represents the number of tickets sold

Answers

Answer:

A

Step-by-step explanation:

it rapresent the initial amount of expenses. the ticket sold were 0, but the profit was negative

Answer:

A

Step-by-step explanation:

Please Evaluate this expression...4a-2b for a-5 and b=3

Answers

Answer:

14

Step-by-step explanation:

(4*5)+(2*3)

20-6

14.

How did you find the length of the a sides?

Answers

Answer:

So If This Is Area You Take The Top Number And Subtract It By The Bottom Number To Get the Sides

Step-by-step explanation:

What is the length of the unknown leg in the right triangle?

Answers

Answer:

There is no triangle.

Step-by-step explanation:

Answer:

Your final answer is √32 miles.

Step-by-step explanation:

Each side of a square potholder is 21 centimeters long.

What is the area of the potholder?

Answers

The answer is a 441 cm area

What is the area of ACDE to the nearest whole number?

Area of ACDE =

Answers

Answer:

Step-by-step explanation:

Area of rectangle ABCD = 84.

BC=x

We can use pythagorean to find x. 12^-6^2=c^2

C=6root3

6root3*6/2 = area of triangle ABC

ABC=18root3

Area of ACDE=84-18root3 which equals about 53

Explain how to find the area of the composite figure above in your explanation be sure to include the formulas you will need to solve the problem

Answers

9514 1404 393

Answer:

  40.5 square inches

Step-by-step explanation:

The figure appears to be a trapezoid with bases 15 inches and 12 inches, and a height of 3 inches. The formula for the area of a trapezoid is useful in this case:

  A = 1/2(b1 +b2)h

  A = (1/2)(15 in +12 in)(3 in) = (1/2)(27 in)(3 in) = 40.5 in²

The area of the composite figure is 40.5 square inches.

__

Additional comment

You get the same answer if you divide the figure into a rectangle and a triangle. The rectangle is 3 in high by 12 in long, so has an area of ...

  A = bh = (12 in)(3 h) = 36 in²

The triangle has a base of (15 -12) = 3 in, and a height of 3 in. It has an area of ...

  A = 1/2bh = 1/2(3 in)(3 in) = 4.5 in²

Then the total area is the sum of the rectangle and triangle areas:

  figure area = 36 in² +4.5 in² = 40.5 in²

Sully is having a party and wants to fill his swimming pool. If he only uses his hose, it takes 3 hours more than if he only uses his neighbor's hose. If he uses both hoses together, the pool fills in 5 hours. How long does it take for each hose to fill the pool (in hr)?

Answers

Answer:

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

Step-by-step explanation:

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.  

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.  

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing.  The LCM will be 2x(x + 3).  Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x.  Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.  

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

What is the fewest number of quarters, nickels, and pennies that can be fairly exchanged for 2 quarters, 6 nickels, and 9 pennies?

Answers

Answer:

Your answer is 3 quarters, 2 nickels, and 4 pennies

Step-by-step explanation:

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!

Si una mujer tiene en su closet 7 camisas,3 pares de zapatos y 4 pantalones ¿de cuántas formas se puede vestir?

Answers

Answer:

14 veces  Step-by-step explanation:

a circular stained glass window frame with a diameter 20 inches is divided into 8 congruent find the area of 3 of the 8 panes of glass

Answers

Answer:

it would be 45

Step-by-step explanation:

Determine if each set of coordinates form a horizontal or vertical line.
a. (-3, 6) & (-3, 2)
b. (8, 4) & (-3, 4)
c. (11, -5) & (-9, -5)
d. (9, -3) & (9, -12)

Answers

Answer:

a. vertical

b. horizontal

c. horizontal

d. vertical

Step-by-step explanation:

if the x coordinate changes it's horizontal and if the y coordinate changes it's vertical

What is the absolute value of 8.15

Answers

Answer:

pretty sure its 8.15

Step-by-step explanation:

Find the work W done by a force of 3 pounds acting in the direction 60° to the horizontal in moving an object 4ft (0,0) to (4,0)

Answers

Answer:

[tex]\frac{3}{2}i + \frac{3\sqrt{3} }{2}[/tex]j

Step-by-step explanation:

The work done by the force in moving the object is 10 ft-lb.

What is force?

Force is an influence or interaction that can change the motion or shape of an object with mass.

It can be described as a push or a pull that has both magnitude and direction.

Force is equal to the product of the mass of the object and its acceleration.

Given,

F = 3 p

d = 4 ft

The work formula:  

W = F x d

W = 4 p x cos 60° x 5 ft

= 10 ft lb.

Hence, the work done by the force in moving the object is 10 ft-lb.

Learn more about force click;

https://brainly.com/question/13191643

#SPJ2

Someone please help me with this math problem

Answers

Answer: 27,600

Step-by-step explanation:

Ok, there could be two answers to this question. If the question is asking how much he would make if it was .15% more, the total would be 27,600/a year

However, if it's asking .15% of 24,000, your answer would be 3,600 ( as in the extra he would be making)

To find the answer, you would have to multiply 24,000*.15 (your starting value times how much you would like to multiply it by)

Please answer number 7 I’ll give brainliest

Answers

Answer:

A $48.15

Step-by-step explanation:

7% of $45 is 3.15 so you would add 3.15 to $45 to get $48.15

The answer is C
45*0.7+45= 76.5%

What is the length of the altitude of the equilateral triangle below?
30
6V3
63
60" 90
60"
Зүз
33
О
А. 81
В. 9
ОО
С. 33
D. 08
ОО
Е. З
о
E. 93

Answers

Answer:

its 63.

Step-by-step explanation:

The length of the altitude of the equilateral triangle is a√3/4 units.

What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°

Given is to find the length of the altitude of the equilateral triangle.

An equilateral triangle is a triangle whose all sides are equal. All the angles of a given equilateral triangle are 60 degrees.

The length of the altitude of the equilateral triangle can be found out using the Pythagoras theorem.

Draw a median from one vertex on the opposite side to that vertex and apply Pythagoras theorem to one of the right triangle.

We can find the length of the altitude to be -

L = a√3/4

Therefore, the length of the altitude of the equilateral triangle is a√3/4 units.

To solve more questions on triangles, visit the link-

https://brainly.com/question/2773823

#SPJ7

HELPP CAN YOU HELP ME PLZ IF U SOLVE THIS U WILL GET 50+ EXTRA POINTS AND BRAINLIEST HELP

Answers

Answer:

Yes it is a function

Step-by-step explanation:

It is a function because a mapping diagram can be used to represent a relationship between input values and output values. A mapping diagram represents a function if each input value is paired with only one output value.

Brainliest plz?

solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation

Answers

Step-by-step explanation:

hope it helps

see attached

The ideal output of a particular oil-rig in the Mexican Gulf is at least 2000 barrels per day. If the output is lesser than that, the foreman raises an red flag at the end of the day. Old Joe the Retired Statistician watches from the shore every day. After 28 days, the red flag was raised on 16 of those days. Could Joe conclude that the oil-rig is operating at a non-ideal condition most of the time

Answers

Answer:

Mexican Gulf Output of a Oil-Rig

Based on 57% red flag days, Joe, the retired statistician, who watches from the shore for the red flag every day, cannot conclude that the oil-rig is operating at a non-ideal condition most of the time, but more of the time.

Step-by-step explanation:

Ideal output of a particular oil-rig, at least = 2,000 barrels per day

When output is lesser than 2,000, a red flag is raised by the foreman

Number of days counted = 28

Number of days when red flag was raised = 16

Proportion of days when the red flag was raised = 16/28

= 0.57

or 57%

Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.

Answers

Answer:

Solution;

given equation : 3.67 = c - 2.13

On solving equation, we get

c = 3.67 +2.13

c = 5.8

Hence, Janae solution is incorrect. So I disagree.

the expression (x - 0.35x) represents 35% off the cost of an item x. how is this equivalent to multiplying x by 0.65?
show full work for brainliest

Answers

Answer:

Step-by-step explanation:

x-0.35x = x(1-0.35) = x(0.65)

The exterior angles of a pentagon have measures of 65 degree 86degree 104 degree 2x and 3x find the value of x

Answers

Answer:

21

Step-by-step explanation:

65+86+104+2x+3x = 360

5x = 360-65-86-104

= 105

x =21

This table shows how the amount Mary earns from yard work depends on the number of hours she works. Time spent (hours), x 3 4 Amount earned, y $24 $32 How much money does Mary earn per hour? $ per hour​

Answers

she earns 8 dollars per hour

15% of number is 54. What is 2/3 of that number?​

Answers

9514 1404 393

Answer:

  240

Step-by-step explanation:

The value is proportional to the fraction:

  n/(2/3) = 54/(0.15)

  n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3

2/3 of the number is 240.

PLEASEEEEE HELP MEEEEEE

Answers

Answer:

1. VW = 22

2. x = 87

Step-by-step explanation:

Question 1:

SU = 11 (given)

SU = ½(VW) => midsegment theorem

11 = ½(VW) => Substitution

Multiply both sides by 2

2*11 = VW

VW = 22

Question 2:

UV = x + 13

RT = x - 37

RT = ½(UV) => Midsegment Theorem

x - 37 = ½(x + 13) => Substitution

Multiply both sides by 2

2(x - 37) = x + 13

2x - 74 = x + 13

2x - 74 + 74 = x + 13 + 74

2x = x + 87

2x - x = x + 87 - x

x = 87

Alexis has a bag of starbursts. After giving half of the candy to her best friend, she ate 6 starbursts.
Now, she only has 10 starbursts left. How many starbursts did Alexis start with?

Answers

Answer: 22

Step-by-step explanation:

For what value of m does f( m) = g( m)

Answers

Answer:

Pts

Step-by-step explanation:

Need pts

the question is invluded on the picture​

Answers

Answer:

a is the right answer Alexis

Step-by-step explanation:

Other Questions
If an invasive species of large snake enters this community, which change is most likely to happen?. How does the farm represent Russia? How does an agile team obtain clarity on backlog items that may be picked up in upcoming introductions? Explain proteinsynthesis in detail. Which describes an embargo? Why is it important to have a reference direction specified before describing a location in terms of positive or negative?n Match each work outcome with the corresponding organizational behavior concept. What is each behavior an example of?O Amy volunteers to help a new coworker learn how to use the company's intranet.O Tyler plans to quit in a few monthsO Mary sells 20 cars in a monthO Ryan steals $1,000 from the compan Why did Wegener use fossils to support his continental drift theory? In an experiment studying the effects of alcohol on social anxiety, alcohol is the ______ variable. A.) independent. B.) confounding. C.) random. D.) dependent. What were the pros and cons of NAFTA? What is one way Lean-Agile leaders lead by example?-By applying empathic design and focusing on Customer Centricity-By mastering the seven core competencies of the Lean Enterprise-By modeling SAFe's Lean-Agile Mindset, values, principles, and practices-By using the SAFe Implementation Roadmap to script the way for change Who does Polonius spy on in Act 2? The cash account for Santiago Co. on May 31 indicated a balance of $20,915. The March bank statement indicated an ending balance of $25,645. Comparing the bank statement, the canceled checks, and the accompanying memos with the records revealed the following reconciling items:a.Checks outstanding totaled $5,975.b.A deposit of $3,796 had been made too late to appear on the bank statement.c.A check for $1,482 returned with the statement had been incorrectly recorded as $482. The check was originally issued to pay on account.d.The bank collected $4,515 on a note left for collection of which $515 was interest revenue.e.Bank service charges for May amounted to $70.f.A check for $894 was returned by the bank because of insufficient funds.Prepare a bank reconciliation as of May 31.Santiago Co.Bank ReconciliationMay 31Cash balance according to bank statement$$Adjusted balance$Cash balance according to company's records$$$Adjusted balance$Journalize the necessary entries. Record the entry to increase cash first.If an amount box does not require an entry, leave it blank.May 31May 31 A deposit slip is the form supplied by a _____ to their customers. when a customer deposits cash or check into their account or behalf of the company, the need to fill this slip out. TRUE OR FALSE when the young minds child care center looks at the recent increase in the number of working mothers in its neighborhood to determine how many employees to hire, its managers are studying demographic forces. How do you make a reflexive sentence in Spanish? the caloric values of fat, protein, and carbohydrate are 9.0 kcal/g, 4.0 kcal/g, and 4.0 kcal/g respectively. how much energy would a serving of 22 g of food provides if it contains 2.0 g of fat and 12 g protein? sarah is building a model of a strand of dna. she should show that the nucleotides are linked by covalent bonds between 2x + 3y = 12 what is the slope What was the age voting reduced from 21 to 18?