Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates below

Segment PE Has Endpoints P(-4,4) And E(0,-4). Find The Coordinates Of Point Q Such That PQ:QE Is 1:3.

Answers

Answer 1

Answer:

(-3, 2)

Step-by-step explanation:

Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] P(-4, 4) = (x_1, y_1) [/tex]

[tex] E(0, -4) = (x_2, y_2) [/tex]

[tex] m = 1, n = 3 [/tex]

Plug in the necessary values to find x and y coordinates for point Q as follows:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{1(0) + 3(-4)}{1 + 3} [/tex]

[tex] x = \frac{0 - 12}{4} [/tex]

[tex] x = \frac{-12}{4} [/tex]

[tex] x = -3 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{1(-4) + 3(4)}{1 + 3} [/tex]

[tex] y = \frac{-4 + 12}{4} [/tex]

[tex] y = \frac{8}{4} [/tex]

[tex] y = 2 [/tex]

The coordinates of the point Q are (-3, 2))


Related Questions

3.2x-1.7x+5.5=10

Solve the equation. Check your solution

Answers

Answer:

x=3

Step-by-step explanation:

3.2x-1.7x+5.5=10

1.5x+5.5=10

-5.5         -5.5

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

1.5x=4.5

x=3

I don't understand this

Answers

Answer:

m∠KLM=160°

Step-by-step explanation:

If m∠KLP is 42°, and m∠PLM is 118°, they add together to be m∠KLM because they're 2 sides of that angle. So 42°+118°=160°.

3 less than a number b divided by 2

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Answer:

The equation would be written as fallowed

f(d)=d/2-3

Step-by-step explanation:

Please answer!!!!!!!!

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Answer:

6r to the 2nd power

Step-by-step explanation:

Sam had $7.55 he then gave $4.46 to his friend. How much money does same have left?

Answers

answer:

$3.09 left over

The mass of a snowflake is approximately 0.000003 kilograms. Write this number in scientific notation.

Answers

Answer:

Step-by-step explanation:

3 x 10^-6 kg

At your birthday party you had 78 slice pizzas . 41 slices were eaten . What fraction of pizza is left

Answers

Answer:

78-41=37

Step-by-step explanation:

37/78 slices of pizza are left.

Why is this statement false?

Answers

Answer:

Step-by-step explanation:

You do need dx when you integrate. Otherwise you are not integrating by small increments which dx represents.

Answer two questions about Equations A and B:
A. 5x-2+X=X-4
B. -m5x=X-4
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by
combining like terms
Rewrite one side (or both) using the distributive property
NEXT QUESTION
based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No

Answers

Answer: Yes

Step-by-step explanation:

the sum of two integers is 10 their difference is 4 what are the two integers​

Answers

Answer: 7 and 3

Step-by-step explanation: 7+3= 10 and 7-3=4

Will give brainliest if answered please help!!!

Answers

Answer:

16 π units²

hope this helps!:)

Are these ratios equivalent?

3 medium cars to 1 small car

18 medium cars to 6 small cars

Answers

Answer:

Yes

Step-by-step explanation:

3 medium cars to 1 small car can be made into a fraction like this: [tex]\frac{3}{1}[/tex] or [tex]\frac{1}{3}[/tex]. But you must be consistent if the denominator represents medium cars or small cars.

For this, I'm just going to make medium cars the numerator.

18 medium cars to 6 cars can be made into a fraction like this : [tex]\frac{18}{6}[/tex].

When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).

[tex]\frac{3}{1}=\frac{18}{6} = 3[/tex]

[tex]\frac{1}{3} = \frac{6}{18} = .3333333[/tex]

These ratios are equivalent.

Which graphs has a slope of 4/5

Answers

Answer:

B

Plz mark brainliest if helpful

Answer:

B

Step-by-step explanation:

CORRECT ON EDG

Cody ran 65 miles this week. He went on five
long runs of equal distance and a short run of
8.2 miles. How long was each of the longer
runs?

Answers

So, we know that he ran 65 miles, and he ran one short mile of 8.2 miles. We also know that the rest of the miles are among five long runs.

1. Subtract the known data.

65 - 8.2 = 56.8

2. Divide 56.8 by 5 to determine the distance of each long run.

56.8 / 5 = 11.36

This summarizes that each long run was 11.36 miles long.

I. The airport branch of a car rental company maintains a fleet of 50 SUVs. The interarrival time between requests for an SUV is 2.4 hours, on average, with a standard deviation of 2.4 hours. There is no indication of a systematic arrival patterns over the course of a day. Assume that, if all SUVs are rented, customers are willing to wait until there is an SUV available. An SUV is rented, on average, for 3 days, with a standard deviation of 1 day. a) What is the average number of SUVs parked in the company's lot

Answers

Answer:

20

Step-by-step explanation:

For the computation of the average number of SUVs parked in the company's lot first it is required to compute the utilization which is shown below:-

[tex]Utilization = \frac{p}{a\times m}[/tex]

where p indicates activity time which is equal to 3 days = 72 hours

a indicates an interarrival time which is equal to 2.4

m indicates the number of servers which is equal to 50

now we will put the values into the above formula

[tex]Utilization = \frac{72}{2.4\times 50}[/tex]

After solving the above equation we will get

u = 0.6

or

60%

now, the average cars parked in the company's lot is

[tex]Average\ cars = 50 - 60\%\times 50[/tex]

= 50 - 30

= 20

5m - (3m + 2) = 0
..................

Answers

Answer:

5m-(3m+2)=0

5m-3m-2=0

2m-2=0

2m=0+2

2m=2

m=2/2

m=1

hope it helps u!

The correct answer should be m=2

femis last 5 bowling scores were 68 75 72 90 and 80 what was femis mean score

Answers

Answer:72

Step-by-step explanation:

Answer:72

Step-by-step explanation:

What does x equal in this equation x= .49x^2

Answers

Answer:

x=0, 2.04 (2dp)

Step-by-step explanation:

Assuming is it 0.49, our equation currently looks like this:

x = 0.49x^2

The first step is to move all x terms to one side which we can se by subtracting an x from both sides.

x - x=0.49x^2 - x

0 = 0.49x^2 - x

Now we can factorize by pulling out the x, which is a common factor:

0=x(0.49x-1)

We can now see that one of the solutions is x = 0, because anything in the brackets multiplied by 0 is 0.

To find the other solution we can divide both sides by x and solve:

0/x=x(0.49x - 1)/x

0=0.49x-1

1=0.49x

Now we just divide both sides by 0.49 to get our second answer!

1/0.49=0.49x/0.49

2.04=x

x = 0, 2.04 (2dp)

Hope this helped!

Does anyone know the answer

Answers

Answer:

G

Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.

At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.

Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.

Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:

1.025 = (1 + 0.025) = 100% + 2.5%

Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.

So G is your answer.

Question 3

which best describes the relationship between the line with equation -5x - 8y=4 and -30 - 48y=24?

Answers

Answer:

the answer is B they are the same line try to simplify the second equation by 6 they are exactly the same equations

Is the sum rational or irrational

Answers

Answer:irrational

Step-by-step explanation:

Suppose Set B contains 60 elements and the total number elements in either Set A or Set B is 82. If the Sets A and B have 12 elements in common, how many elements are contained in set A?

Answers

Answer:

34 elements

Step-by-step explanation:

Set B = 60 elements

Set A = x elements

A∩B = 12

A∪B = 82

x = (82+12 - 60) = 34 elements

find the value of each variable. Express in simplest radical form

Answers

[tex] {x}^{2} = {26}^{2} - {24}^{2} \\ {x}^{2} = 676 - 576 \\ {x}^{2} = 100 \\ x = \sqrt{100} \\ x = 10[/tex]

You are slow-cooking a pot roast. After some time, you check its internal temperature with a cooking thermometer. The thermometer reads 123 degrees Fahrenheit. What would the thermometer read, to the nearest degree, if it were in degrees Celsius?

Answers

Answer:

51 degrees Celsius

Step-by-step explanation:

123 degrees Fahrenheit=50.5556 degrees Celsius rounded to the nearest degree would be 51 degrees Celsius

please help what is
5w = –27.5.

Answers

Answer: w= -5.5

Step-by-step explanation: -27.5/5=-5.5. w = -5.5

3\8+1\4= what is the answer to this math question ?

Answers

Answer:

-> 5/8

Step-by-step explanation:

-> 3/8+1/4

= (3/8 ). 1 + (1/ 4) . 2

= 3/8  + 2/8

= 5/8

Determine whether f(x) = 4x+5 is injective or not

Answers

injective. (x) would have to be used in 2 places which would cross.

Craig Browning bakes cookies for the elementary school cookie sale. His chocolate chip cookies sell for $1.00 a dozen, and his oatmeal brownie cookies sell for $1.50 a dozen. He will bake up to 20 dozen chocolate chip cookies, and up to 40 dozen oatmeal brownie cookies, but no more than 50 dozen cookies, total. Also, the number of oatmeal brownie cookies will be no more than three times the number of chocolate chip cookies. How many of each kind should Craig make in order for the elementary school to make the most money

Answers

Answer and Step-by-step explanation:

Let

Number of chocolate chip cookies = x

Number of oatmeal brownie cookies = y

Bake chocolate chip cookies up to 20 dozen = x≤ 20

Bake oatmeal brownies up to 40 dozen= y≤40

Total cookies = x + y ≤ 50

Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x

From the inequality:

                        X + y=50                          

                         y = 3x

By putting the value of y, we get

    x + 3x = 50

     4x = 50

    X = 12.5

By putting the value of x=12.5 in equation y = 3x, we get

Y = 3(12.5)

    = 37.5

Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.

A credit card company requires that its customers choose a 3 digit, numerical code to access their online account. Each digit should be chosen from 012345678 or 9. So there are 10 possibilities for each digit. How many different three digit codes are there?

Answers

Given :

A credit card company requires that its customers choose a 3 digit.

Each digit should be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.

So there are 10 possibilities for each digit.

To Find :

How many different three digit codes are there.

Solution :

We know, possibility of choosing each digit is 10.

So, total number of three digit codes are :

[tex]T=10\times 10\times 10\\\\T=1000[/tex]

Therefore, their are 1000 different three digit codes.

Hence, this is the required solution.

True or false: The Triangle Angle Sum Theorem can be used to determine if three given angles form a triangle, but it cannot be used to determine a missing angle of a triangle given the other two angle measures.(1 point) This statement is true. This statement is false. The Triangle Angle Sum Theorem can be used to determine a missing angle of a triangle given the other two angle measures, but not to determine if three given angles form a triangle. This statement is false. The Triangle Angle Sum Theorem cannot be used to determine if three given angles form a triangle. This statement is false. The Triangle Angle Sum Theorem can also be used to determine a missing angle of a triangle given the other two angle measures.

Answers

Answer:

This statement is false. The triangle sum theor can also be used to determine a missing angle of a triangle given the other two angle measures

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