2. Given HS has endpoints H(5, -9) and S(-10, 11), find the coordinates of P so that P partitions HS in a ratio 2:3.
Point P?

Answers

Answer 1

Answer:

The coordinates of point P are (-1, -1)

Step-by-step explanation:

The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are

x = [tex]\frac{mx2+nx1}{m+n}[/tex]y = [tex]\frac{my2+ny1}{m+n}[/tex]

∵ P partitions segment HS in a ratio 2: 3

P = (x, y)

m = 2 and n = 3

∵ H = (5, -9) and S = (-10, 11)

x1 = 5 and x2 = -10

y1 = -9 and y2 = 11

→ Substitute them in the rule above to find x and y

∵ x = [tex]\frac{2(-10)+3(5)}{2+3}[/tex] = [tex]\frac{-20+15}{5}[/tex] = [tex]\frac{-5}{5}[/tex]

x = -1

∵ y = [tex]\frac{2(11)+3(-9)}{2+3}[/tex] = [tex]\frac{22-27}{5}[/tex] = [tex]\frac{-5}{5}[/tex]

y = -1

The coordinates of point P are (-1, -1).


Related Questions

using transformations

i have to graph this problem using transformations. please help a shawty out :,(

Answers

i have the graphed answer right here

someone solve this asap

Answers

-9 + 1 • 5 = -4

-3 squared is -9. 4 -3 = 1 h is 5 so its 1 times 5 (5) + -9 = -4

Lisa starts a different business account that pays simple interest every 1 point
year on his principal, which was $35,000, and after one year has passed,
her account has earned $3150 in simple interest. Find the interest rate that
Lisa is getting on this business account

Answers

Answer:

Interest rate=9%

Step-by-step explanation:

Interest rate=$3150×100%/$35000×1

Rate=315000/35000=9%

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!



Explain how to obtain the equation 3x=6 from the given system.

5x+2y=2
x+y=-2

Answers

Step-by-step explanation:

You want to set one of the equations equal to either x or y. For this, I put x+y=-2 equal to y which would be y=-x-2. Then you plug this in to the other equation for y. This would give you 5x+2(-x-2)=2. When you factor the two into the parenthesis, combine like terms, and keep the x values on ones side and the other numbers on the other side, you get 3x=6

8. Lauren wants to buy a shirt that costs $80. Her mother told her that she could only spend $35 for the shirt. The shirt finally went on sale for 40% off the original price. Will Lauren be able to buy the shirt? (Hint: If the shirt is 40% off the original price, what percent is she paying?)

Answers

Answer:

No. Lauren cannot buy the shirt. It costs $48 after the discount.

Step-by-step explanation:

Shirt Cost: $80

Money: $35

Discount: 40%

First, find the amount of the discount by finding 40% of the price. 40% is equal to 0.40 (or 40 divided by 100).

40% of $80 = 0.40 x 80 = $32

Since it's a discount, the final price is the original price minus the discount.

$80 - $32 = $48

So, after a 40% discount, the price is still $48. Lauren only has $35, so it will still be too expensive!

Which quadratic equation has roots 7 and -2/3

Answers

x² - 4x - 21 = 0

hope this helps

REALLY EASYYYY, easy points!
If Jada has 25 dimes, how many quarters does she have?

Answers

She has None, only dimes

Answer:

10 quarters is the answer thx for the points

3 1/3 divided by 1 1/4 =
ANSWER ASAPPPPPP. BE RIGHT AND EXPLAIN
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

Answers

Answer:

3/8

Step-by-step explanation:

3 1/3 = 10/3

1 1/4 = 5/4

Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.

so

(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)

= (3 x 5) / (10 x 4) = 15 / 40

the numerator and denominator have a common factor of 5 so divide the  numerator and denominator by 5

15 / 40 = 3/8

How is an outlier related to a cluster?

Answers

Answer: A Clusters, means Gaps, and Outliers is a cluster that is formed when several data points lie in a small interval.

Step-by-step explanation:

Answer:

An outlier is related to a cluster because they both are in a scatter plot.

Step-by-step explanation:

But do not confuse them together because a cluster is the group of points or the points in general that are just really close to each other, but an outlier is a point that is away from the cluster

HOPE THIS HELPED

There are 13 maple trees currently in the park. Park workers will plant
35 more maple trees today. How many maple trees will the park have
when the workers are finished ?

Answers

Answer:

48

Step-by-step explanation:

10 plus 30=40

40 plus 5 plus 3=48

which graph best represents the solution set of y+4>2x

Answers

Answer:

Step-by-step explanation:

D

Answer:

A

Step-by-step explanation:

usatestprep

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

a: y= -5x

b: y= 2x +3

c: y= -3

d: undefined or x=6

Whoever gets all right I’ll give you a Brainly

Answers

Answer:

1 3 578

Step-by-step explanation:

1 3 578. CBC CBC c vccbc. Cvcbcvc...

A package of 8 hot dogs is on sale for $4.00. What is the price per hot dog?

$0.32
$0.50
$2.00
$5.00

Answers

Answer:

$0.50

Step-by-step explanation:

let x represent the price of a singular hot dog

8x = 4$

x = 4/8$

x = 0.50$

Answer:

0.50

Step-by-step explanation:

8 x 0.50= 4 so thats the correct answer

A. Only Graph A is a function.
B. Only Graph B is a function.
C. Both graphs are functions.
D. Neither graph is a function.
Which statement is true?

Answers

Answer:

b: only graph b is a function

Step-by-step explanation:

if you look closely graph a is in the middle of the boxes and all over the place, so the answer has to be b. Your welcome (pls give brainliest)

I NEED HELP ASAP PLEASEEE

Answers

Answer:

11 5/8

Step-by-step explanation: add everything to get 11 5:8

Answer:

11 5/8

Step-by-step explanation:

Make all the fractional parts have the same denominator. ( 3 6/8, 2 4/8, and 5 3/8) Then add everything, and simplify

hope this helps!

Match each slope and y-intercept with the appropriate linear equation.
m= 4, b = 3
y = -2x + 5
m=5, b = -2
y = 4x +3
m = 3, b = 4
y = 5x - 2
m = -2, b=5
y = 3x + 4

Answers

Answer:

m= 4, b = 3 matches with y = 4x +3

m=5, b = -2 matches with y = 5x - 2

m = 3, b = 4 matches with y = 3x + 4

m = -2, b=5 matches with y = -2x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b in which m = slope and b = y-intercept

Answer:m= 4, b = 3 matches with y = 4x +3

m=5, b = -2 matches with y = 5x - 2

m = 3, b = 4 matches with y = 3x + 4

m = -2, b=5 matches with y = -2x + 5

Step-by-step explanation:

Please please please please help

Answers

The Answer: A

Explanation: If you multiply all of them the first one is the only one that’s correct
The answer is A because if you multiply the other 3 problems, the answers are wrong

Find the slope of the line that passes through the two points (3 , 7) and (-1 , 4)

Answers

Answer:

m=3/4

Step-by-step explanation:

use y=mx+b formula

Need help I’m in class lol but please thanks

Answers

Answer:

[tex]4\frac{3}{8}[/tex]

Step-by-step explanation:

subtract [tex]19\frac{1}{8}[/tex][tex]-14\frac{3}{4}[/tex]

Hope this helps!

Mia wants to buy a new jacket that costs $40, including taxes. She plans to save $5 each week. How many weeks will it take Mia to save enough money to buy the jacket?

Answers

Answer:

8 weeks

Step-by-step explanation:

the martin family truck gets an averge of 33 miles per gallon. Predict how many miles they can drive using 5 gallons on gas

Answers

Answer:

165

Step-by-step explanation:

33×5=165 because of them riding 33 miles with 1 gallon so if they use 5 gallons they will travel 165 miles

HELP ME PLZ YALL

1. 40% of 80 is
2. 25% of 60 is
3. 10% of 90 is

Answers

Answer:

40% of 80 is 32

25% of 60 is 15

10% of 90 is 9

Fatima paid for 5 pallets of grass to be delivered.
● Each pallet of grass cost $129.95.
● Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?

Answers

Answer:

$725.95

Step-by-step explanation:

129.95 times 5 is 649.75

649.75 plus 76.20 = 725.95

Price of 5 pallets of grass

= 5*129.95

= 649.75

Price for delivery

= 76.20

Total amount paid

= 649.75 + 76.20

= 725.95

Find a number c such that the polynomial
p(x) = (x - c)(2x3 - 5x + 12)
contains the point (5,0).

Answers

C=5 because (x-c) = ax =0 so (5-c)=0 will be c=5

A dining set is priced at $785. If the sales tax is 9 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary?

Answers

Answer:

$855.65

Step-by-step explanation:

Multiply 785 by 0.09 to get the sales tax amount which is 70.65.

Add the sales tax amount to the price of the dining set to get cost after tax.

PLEASE HURRY!!!!!!!!!!1
What is the measure of angle x?

A. 60 degrees
B. 70 degrees
C. 80 degrees
D. 100 degrees

Answers

Answer:

x=60

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

Rosie writes the equation 24(mx+n)=3x+17, where m and n are real numbers.
If m=14 and n=13, does the equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

Answers

Answer:

Step-by-step explanation:

24(mx+n)=3x+17

24(14x+13)=3x+17

336x+312=3x+17

336x-3x=17-312

333x=-295

X=16.063

The required solution has one solution at x = 0.886 and Equation have infinitely many solution when n = -15.41 .

What is a linear equation ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

The given equation is

24(mx+n)=3x+17,

where m and n are real numbers.

According to given question we have

By put the value of m=14 and n=13, in given equation we have

24(mx +n)=3x+17

24(14x+13)=3x+17

336x+312=3x+17

336x-3x=17-312

333x=-295

X=-0.885

Thus x = 0.886 we can say that the equation having one solution .

;  if m = 18 then find n .

put m = 18 in the given equation

= 24(18.(0.886) + n ) = 3(0.886) + 17

= 24(15.94) + 24n = 2.658 + 17

= 382.56 + 24n = 19.658

= 24n = 19.658 - 382.56

= n = -362.902/24

n = -15.12

The equation have infinitely many solution when n = -15.41.

Therefore, the required solution has one solution at x = 0.886 and

Equation have infinitely many solution when n = -15.41 .

Learn more details about linear equation here:

https://brainly.com/question/11897796

#SPJ2

Each pair of rectangles below are similar. Calculate the values of dimension x.

PLEASE HURRY

Answers

for the two rectangles on the top, x=6

for the two rectangles on the bottom, x=4



30 Points!!!!
Kimberly is deciding between two cell phone plans. The first plan has a $50 sign-up
fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per
month. After how many months will the costs be the same for the two phone plans?

Answers

Answer:

The answer is four months

Step-by-step explanation:

You have a starting cost of $50 with a $20 fee every month

OR

You have a starting cost of $30 with a $25 fee every month

Start: $50 ($20 per month)

M1 = $70, M2 = $90, M3 = $110, M4 = $130

Start: $30 ($25 per month)

M1 = $55, M2 = $80, M3 = $105, M4 = $130

In conclusion, the prices of the two will match at Month 4

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