Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

Answers

Answer 1

Answer:

[tex]B(x_2,y_2)= (20,12)[/tex]

Step-by-step explanation:

Given

[tex]A = (0,0)[/tex]

[tex]Ratio; m : n = 1 : 3[/tex]

[tex]Point\ at\ 1 : 3 = (5,3)[/tex]

Required

Coordinates of B

This question will be answered using line ratio formula;

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

In this case:

[tex](x,y) = (5,3)[/tex]

[tex](x_1,y_1) = (0,0)[/tex]

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

Solving for [tex](x_2,y_2)[/tex]

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex] becomes

[tex](5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})[/tex]

[tex](5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})[/tex]

[tex](5,3) = (\frac{x_2}{4},\frac{y_2}{4})[/tex]

Comparing the right hand side to the left;

[tex]\frac{x_2}{4} = 5[/tex] -- (1)

[tex]\frac{y_2}{4} = 3[/tex] -- (2)

Solving (1)

[tex]x_2 = 5 * 4[/tex]

[tex]x_2 = 20[/tex]

Solving (2)

[tex]y_2 = 3 * 4[/tex]

[tex]y_2 = 12[/tex]

Hence;

[tex]B(x_2,y_2)= (20,12)[/tex]


Related Questions

find the value of x so that f (x)=7

Answers

Answer:

i think its 24

Step-by-step explanation:

Name (Templatel 09.09.2020 - Assignment 004 NAME Assignment 004 - Dividing Fra Divide Fraction by Fraction Divide. Write in simplest form. 2/3÷4/5​

Answers

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5​

2/3 × 5/4

10/12

5/6

Craig has acollection of 220 marbles. He lets his friend have 1/4 of his collection and sells 1/5 of his collection to the novelty store. He takes 15 marbles home to give to his brother. how many marbles remain in Craig's collection? ​

Answers

Answer:

he would have 106

Step-by-step explanation:

hope it helps

Nick mowed about 3/5 of the school lawn yesterday. The mowed another 1/4 of the remaining portion of the lawn this morning. How much is left to mow?

Answers

5/5 - 3/5 = 2/5 x 1/4 = 2/20 = 1/10 (sorry if it's wrong)

3≤7+g what does g equal?

Answers

Answer:

-4

Step-by-step explanation:

Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4

Is 0 a real, imaginary, or complex number?

Answers

Answer: 0 is a imaginary number

Step-by-step explanation:

-2x^2+8x-9+4x+7x^2+2

Answers

Answer:

Add like terms

Step-by-step explanation:

You want to combine the squared, the variables, and the constants.

Combine -2x^2 and 7x^2 to get 5x^2

Then combine 8x and 4x which is 12x

Then combine -9 and +2 which is -7.

You should get 5x^2 + 12x - 7.

Keep in mind you can only combine like terms that are in the same equals barrier

For example: You can combine 8x + 3 + 2x = 0

but not 8x +3 = 2x +0 because they are on different sides of the equal sign.

Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?

Answers

Answer:

She can paint 1 1/2 of a room

Step-by-step explanation:

I believe...

Answer:

8/9

its just simple equations

you do 2/3 divided by 3/4 for the unit rate.

Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4

Answers

Your answer is gonna be C

Answer: C. 4 1/4 > 2 3/4

Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.

- Lizzy ˚ʚ♡ɞ˚

PLZZZZ HELP WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

Unlikeley: 0.6

likely: 0.35

Impossible: 0

Certain: 0.5

Equally: 0.9

unlikely: 1

Hope This Helps! :)

8•1,000+1•1+5•100+4•10,000+8•10 standard form

Answers

Answer:

48581

Step-by-step explanation:

Answer:

48581

Step-by-step explanation:

the temperature dropped from 44 degree to -56 degree. what was the change in tempreture

Answers

The change in temperature was 100 degrees I believe.

which unit represents 0.01 liters

Answers

Answer:1 centiliter

Step-by-step explanation:1 centiliter equals 0.01 liters

The answer is 1 centimeter

Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee

Answers

Answer:

x^ -10 or 1/x^10

Step-by-step explanation:

Is this relation a function?

Answers

yes that is a function because every number has a pair that goes to each other once

what is the difference between 9 - 4 1/5

Answers

Hey there!☺

[tex]Answer:\boxed{4\frac{4}{5}}[/tex]

[tex]Explanation:[/tex]

[tex]9-4\frac{1}{5}[/tex]

Subtract the whole number by the fraction.

[tex]\frac{24}{5}[/tex]

24/5 needs to be simplified so we will rewrite it like this:

[tex]4\frac{4}{5}[/tex]

Hope this helps!

Ifa student wanted to design an experiment that uses sound scientific principles, which of the following
should he or she not do?

A. Start with a hypothesis

B.Test more than one variable at a time

C.Record data in a table

D. compare results with others

Answers

Answer:

the answer is B

Step-by-step explanation:

which value for x makes the sentence true? 1/40 + x = 1/8

Answers

Answer:

x = 1/10

Step-by-step explanation:

1/40 + x = 1/8

Subtract 1/40 from each side

1/40-1/40 + x = 1/8-1/40

x = 1/8 - 1/40

Get a common denominator

x = 1/8 *5/5 - 1/40

x = 5/40 - 1/40

x = 4/40

Simplify

x = 1/10

State the domain and range in interval notation​

Answers

I’m sory I don’t exactly know

If I spent $3.87 on grapes at Tom Thumb and I bought 3.05 pounds. How much was each pound?
(round to the nearest hundredths place because it is money)

Answers

Answer:

$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though

Step-by-step explanation:

You would divide 3.05 by itself to get one pound

and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.

3.87÷3.05=1.268852459

Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.

what is the distance between (8, -3) and (4, -7​

Answers

Answer: I HOPE IT HELPS

Step-by-step explanation:6

2

8.49

to 2 decimal places

Explanation:

Calculate the distance ( d ) using the  

distance formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

d

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

2

2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−  

where  

(

x

1

,

y

1

)

,

(

x

2

,

y

2

)

are 2 coordinate points

The 2 points here are (-8 ,4) and (-2 ,-2)

let  

(

x

1

,

y

1

)

=

(

8

,

4

)

and  

(

x

2

,

y

2

)

=

(

2

,

2

)

d

=

(

2

+

8

)

2

+

(

2

4

)

2

=

36

+

36

=

72

x

=

36

×

2

=

36

×

2

=

6

2

8.49

If g(x) = 3x^2+2x-1. Find g(-1).​

Answers

Step-by-step explanation:

g(x) = 3x² + 2x - 1

g(-1) = 3(-1)² + 2(-1) - 1

= 3(1) -2 -1

= 3 - 3

= 0

8=3/2(9x-6) and explain

Answers

Exact Form: 34/27

Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)

Decimal Form: 1.259... (never ending)

Isolate the variable by dividing each side by factors that don't contain the variable.

someone help me answer this plzzzzz

Answers

Answer:

Step-by-step explanation:

r = (x  co-efficient  ÷ 2)²

r = (6/2)² = 3²

r = 9

s = - 2r

s = -2*9 = -18

simplify the following equation: (5 + 3)²​

Answers

Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

The probability that an event will happen is P(E)=
34/41.
Find the probability that the event will not happen.

Answers

Answer:

7/41

Step-by-step explanation:

There is a 34/41 probability that this event will happen so to find the probability of which the event will not happen, the subtract 34 from 41 to get your answer.

41-34=7

Therefore, 7/41 is the answer.

Ps. is the P(E) included in the main question? if it is, the the answer might differ from the one I am giving you.

Help ASAP!!!!!!!!!!!!!!!!!!!!

Answers

-1. 0. 1. 2
3 7. 11. 15

Pls, Help! I need this today!

Answers

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches

Answers

Answer:

(264+24√21) in²

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;

[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]

Hence the area of the square is (264+24√21) in²

If a 48-gram serving of pasta contains 6 g of protein, how many grams of protein are in a 908-gram box of the pasta?

Answers

Answer:

i believe the answer is 114g of protein. i hope this helps

Step-by-step explanation:

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