Mathematics High School

Find the coordinates of P so that P partitions segment A to B in the ratio 5:1 with A(2,
4) and B(8, 10).

Find The Coordinates Of P So That P Partitions Segment A To B In The Ratio 5:1 With A(2,4) And B(8, 10).

Answers

Answer 1

Answer:

Point P has coordinates (7,9) (last choice)

Step-by-step explanation:

We are given the endpoints A(2,4) B(8,10) and the point P lying on the segment AB with the condition that P partitions it in the ratio 5:1.

This means the distances AP, PB and AB follow the conditions:

[tex]\frac{AP}{PB}=\frac{5}{1}[/tex]

AP+PB=AB

We can work with each coordinate separately. Suppose P has coordinates (x,y), thus:

[tex]x-x_a=5(x_b-x)[/tex]

[tex]x-x_a=5x_b-5x[/tex]

Adding 5x and subtracting:

[tex]6x=5x_b+x_a[/tex]

Dividing by 6:

[tex]\displaystyle x=\frac{5x_b+x_a}{6}[/tex]

Substituting:

[tex]\displaystyle x=\frac{5*8+2}{6}=\frac{42}{6}=7[/tex]

x=7

Now for the y-axis:

[tex]\displaystyle y=\frac{5y_b+y_a}{6}[/tex]

Substituting:

[tex]\displaystyle y=\frac{5*10+4}{6}=\frac{54}{6}=9[/tex]

y=9

Point P has coordinates (7,9) (last choice)

Related Questions

help!! Asappp!! please​

Answers

Answer:

C

Step-by-step explanation:

you add 15 and 10 witch gets you 25 and then you add 3 for the students that don't play either witch gets you 28 and then subtract 28 from 32, or just count up from 28 to 32 but you get the same answer.

what costed more?
The great wall of china vs Nasa base + statue of liberty + the white house

Answers

Answer:

I would say NASA base because they have a lot of money there

Step-by-step explanation:

.

1 1/12-7/10 greater than 1/2 or less than 1/2

Answers

Answer:

Greater

Step-by-step explanation:

1 1/12 - 7/10 = 4/5

4/5 is greater than 1/2

Answer:

greater than 1/2

Step-by-step explanation:

1 1/2 - 7/10 = 8/10

8/10 = 4/5

4/5 > 1/2

The owner of Animal Lovers Pet Shop just got a delivery of 315 bags of cat food and you need to put the bags on 9 shelves. How many bags will be put on each shelf?

Answers

Answer:

35

Step-by-step explanation:

315 divided by 9 and you will get 35 as your answer.

PLS PLS PLS PLS HELP 15 POINTS
In a school with 700 students, a survey revealed that 80% of the students liked the new lunch menu. Based on this data, how many students liked the new menu?
A. 560 like the new menu
B. 540 like the new menu
C. 600 like the new menu
D. 640 like the new menu

Answers

Answer:

560 students like the new menu :)

Step-by-step explanation:

700 times .8

this is really important please help, and please show work if you can

Answers

Answer:

C. 26°

Step-by-step explanation:

We have to subtract m∠GOH ( 24° ) from m∠FOH ( 50°)

50° - 24° = 26°

C. 26°

2) (11,-1), (-1, -6)

Answers

Answer: -70

Step-by-step explanation:

{3x -2y = -16
{x + y = -7

Answers

the answer would be -6,-1

Pls help or I’m gonna fail

Answers

Answer:

SAMEEE

Step-by-step explanation:

Answer:

The equation for a cylinder is  V = π r 2 h

Step-by-step explanation:

So this is what your equation would look like:

V = (π)(4)(2)(8)

Pi=3.14

Mei has $100 in five-dollar and ten-dollar bills. She has a total of 11 bills. How many of each bill does she have?​

Answers

9 $10 bills and 2 $5 bills

whats the inequality of
7(x+1)-6x7-8

Answers

Answer: −6x7+7x−1

Step-by-step explanation:

Distribute:

=(7)(x)+(7)(1)+−6x7+−8

=7x+7+−6x7+−8

Combine Like Terms:

=7x+7+−6x7+−8

=(−6x7)+(7x)+(7+−8)

the graph of g(x) = x³ -9x² + 3x -1 is translated up 5 units to produce the graph of the function h(x). what would be the new equation of h(x)​

Answers

Answer:

h(x) = x^3 - 9x^2 + 3x + 4

Step-by-step explanation:

To write the new equation, we have to understand what the translation is about

What it means is that we are going to add the 5 units to the total value of the equation

we have this as:

h(x) = x^3-9x^2 + 3x-1 + 5

h(x) = x^3 - 9x^2 + 3x + 4

Devon needs 8 yards of fabric to make a blanket. He has a total of 332 yards of fabric. How many blankets can Devon make? A 4040 B 4141 C 4242 D 4343

Answers

332/8= 41.5 but you cant make half of a blanket so itll be 41!

GIVING BRAINLEIST!!!! Determine the area of the Parallelogram.
PIC IS BELOW!

Answers

[tex]\huge\fbox\pink{Answer}[/tex]

Formula:-

[tex]\underline{\boxed{\sf Area\:of\: parallelogram = base×height}}[/tex]

Substituting the values:-

:[tex]\implies[/tex] [tex]\sf Area = 12.5×3.7[/tex]

:[tex]\implies[/tex] [tex]\sf Area = 46.25 cm²[/tex]

The Gator basketball team won 30 games and lost 6 last season. Which is NOT a correct expression of the ratio of the team's wins and losses.

Answers

33.3 hope this helps :))

A cone has a volume of 60. If the radius is 2 feet,
what is the height of the cone?
10 feet
15 feet
45 feet
90 feet

Answers

Answer:

B don't be afraid of the rounding that took place. In this case, you pick the closest answer.

Step-by-step explanation:

Givens

r = 2

V = 60

Formula

V = 1/3 pi r^2 h

Solution

60 = 1/3 * 3.14 * 2^2 * h

60 *3 /(3.14 * 4) = h

h = 14.33 feet which is B

SIMPLIFY this expression.
3x + 8y + 13x

a. 11x + 13y
b.13x + 11y
c. 24xy
d. 6x + 8y

Answers

Answer:

none of the answer above

Step-by-step explanation:

it should be

16x +8 or 8(2x+y)

group the number together according to alphabet and number

-6(1+6x)<6(1-5x)
Help me plz

Answers

If you are solving for x, you can click on the pic, but if you are not, then this answer will be useless, hope it helps, you can always give me feedback!

In a​ week, 12 hens laid 72 eggs. What is the unit rate for eggs per​ hen?

Answers

Divide total eggs by total hens.

72 / 12 = 6 eggs per hen.

Subtract -7x^2+4x+2 from x^2-3

Answers

The answer is -6x^2 - 4x - 5
separate like terms
rewrite
-7x^2-x^2+4x+2-3
no like terms with 4x
solve
-8x^2+4x-1 is the answer

Which point is Collinear to points A and C?

Answers

Point K is on the same line as A and C.

All of the following expressions are equal except___.
2^-3
8
1/8
2^1/2^4

Answers

Answer:

B. 8

Step-by-step explanation:

All of the other expressions equal [tex]\frac{1}{8}[/tex]. 8 is the only one that doesn't equal that fraction.

Hope it helps!

The sides of a triangle measure 2x + 5, X – 4, and
3(2x + 1). What is the perimeter of the triangle?

Answers

Answer:

9x+4

Step-by-step explanation:

perimeter= sum of all sides

perimeter= (2x+5)+ (x-4)+ 3(2x+1)

= 2x+5+x-4+ 6x+3

= 2x+x+6x+5+3-4

= 9x+8-4

=9x+4

How do u find the circumference of a quarter circle! I need help

Answers

Answer:

send u questioonn

Step-by-step explanation:

properly

Answer:

To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.

A cup can hold 125ml of water when full how much cups would it take to fill a jug that can hold 3/4 L

Answers

Answer:

6 cups

Step-by-step explanation:

Given that:

Volume of water held in cup when full = 125ml

Number of cups it will take to fill a jug which holds 3/4 L

Converting mL to L:

1000 mL = 1 L

Volume of water in cup when full = 125 / 1000 = 0.125 L

Jug which holds 3/4 L = 0.75 capacity

Hence, number of cups it'll take :

0.75 / 0.125

= 6

It will take 6 cups of 125mL to fill 3/4 L

Plsssss help!!!!!!!!

A bus travels for 4 hours at the speed of 32 miles per hour. Find the distance traveled using the formula d = rt.​

Answers

Answer:

im so sorry if im wrong

Step-by-step explanation:

i beleve its 128, heres why

32 x 4 = 128

128 ÷  4 = 32

Find the measure of each angle indicated

Answers

Answer:

50

Step-by-step explanation:

The interior angle next to 80 equals 100. all angles of a triangle should equal 180. 180-100 is 80, 80-30 is 50

hope this helps


can someone pls help

Answers

Answer:

Step-by-step explanation:

It's not that clear on my screen

A secondhand clothing store finds that 1/6 of the donations they receive are not in good enough condition to be sold. Of those items, 3/4 only require minor repairs. What part of the donations are not good enough to be sold but only required minor repairs? ​

Answers

Answer:

1/8

Step-by-step explanation:

3/4 x 1/6=1/8

8, 3, 5, 5, 4, 7 Find the median, lower quartile, and upper quartile of the set of data. Use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper. Use the box-and-whisker plot to find the range and the interquartile range of the set of data.

Answers

Answer:

Median: 5

Lower quartile: 4

Upper quartile: 7

Lowest value: 3

Highest value: 8

Box plot below

Step-by-step explanation:

When making a box plot, you plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7). You put a point on the median for the overall set of numbers, and you're done!

The Median is 5,The lower quartile is 4,The upper quartile is 7,The lowest value is  3,The highest value is  8.

We have given that 8, 3, 5, 5, 4, 7.

What is the median?

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

We have to make a box plot, first  plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7) and  put a point on the median for the overall set of numbers.

To learn more about the mean visit:

https://brainly.com/question/26151333

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