5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides
the segment in a 2:1 ratio.

Answers

Answer 1

Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

Answer 2

The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is (3, -1).

What is section formula?

In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex centers of a triangle

Given

[tex](x_{1} ,y_{1})[/tex] = X(-3, 3)

[tex](x_{2},y_{2} )[/tex] = Y(6,-3)

m: n = 2:1

Section formula = [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n} )[/tex]

P(a, b) = [tex](\frac{2(6)+1(-3)}{2+1} ,\frac{2(-3)+1(3)}{2+1} )[/tex]

P(a, b) = [tex](\frac{12-3}{3},\frac{-6+3}{3} )[/tex]

P(a, b) = [tex](\frac{9}{3} ,\frac{-3}{3} )[/tex]

P(a, b) = (3, -1)

The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is (3, -1).

Find out more information about section formula here

brainly.com/question/10916187

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Related Questions

what is the answers to 10% of 50 i multiply 10 x 50

Answers

NO!!!!!!!!!!

10% of 50 is 50/100x10 0r simply 50/10, so the answer is 5

Answer:

Step-by-step explanation:

10%×50=10/100×50

Solve the inequality and enter your solution as an inequality

3x < 12

Answers

Answer:

x < 4

Step-by-step explanation:

[tex]3x < 12\\\rule{150}{0.5}\\3x < 12\\\\\frac{3x<12}{3}\\\\\boxed{x < 4}[/tex]

Hope this helps.

someone please help me with this!!!

Answers

Answer:

it would be 3 85

Step-by-step explanation:

but rounded would be 3 100 pls mark as brainliest

Ms. Henderson's plant is 613 inches tall. It is 156 inches taller than Megan's plant.

How tall is Megan's plant?

Answers

Answer:

Megan's plant is 457 Inches tall

Step-by-step explanation:

Select the correct answer.
What is ?

A.

B.

C.

D.

Answers

Answer:

B. 7 1/2

Step-by-step explanation:

1. To solve this problem, we have to multiply 2 1/2 by the reciprocal of 1/3.

In other words, multiply 2 1/2 by the inverse of 1/3, which is 3.

2. (Solving)

[tex]2\frac{1}{2} *3[/tex] [tex]\frac{5}{2} *3[/tex] [tex]\frac{15}{2}[/tex] [tex]7\frac{1}{2}[/tex]

Therefore, the answer is B. 7 1/2.

Answer:

its B mark branli.est pls

Step-by-step explanation:

What is a percentage multiplyer

Answers

answer- percentage multipliers are used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage.

example- in order to find 12% of a number, you can multiply the number by a multiplier.
12%= 12/100= 0.12 ——-> this makes 0.12 the multiplier.

hope this helped :)) it can be kinda confusing to explain

A necklace is made from 2 purple pyramids and 12 yellow spheres. What is the ratio of pyramids to spheres in its simplest form?

Answers

Answer:

1:6

Step-by-step explanation:

2:12

1:6

Have a nice day!

If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1:6

Step-by-step explanation:

2/12 = 1/6

Look at attached link

Answers

The answer is -29/16
Have a great day/night !

Answer:

[tex]-1\frac{13}{16}[/tex]

Step-by-step explanation:

Hello There!

First let's put our equation to get started

[tex]-3\frac{5}{8}\cdot\frac{1}{2}[/tex]

We can make this an improper fraction by multiplying the integer with the denominator.

Then you would add the total you got with multiplying the total that you got from the whole number and the denominator

DefinitionAn integer is colloquially defined as a number that can be written without a fractional component

[tex]-\frac{29}{8} \cdot\frac{1}{2}[/tex]

Now we can solve it

[tex]-29\cdot1=-29[/tex]

[tex]8\cdot2=16[/tex]

Now our equation is

[tex]-\frac{29}{16}[/tex]

Reduce

Definition - reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible

Once we've reduced we will have our equation being

[tex]-1\frac{13}{16}[/tex]

Have a good day :) !

can yall help me with the problem ?!

Answers

If I’m correct then it is 0.25

Answer:

Yeah its 0.25 Please mark brainlist

Step-by-step explanation:

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer: A)10 B)14 C) 12 D)10

Step-by-step explanation:

You would cross multiply and divide! So for part A you would multiply 2x55 which equals 110 then divide that by 11 and get 10. You then repeat that for each part!

Which of the following represents 3 times the sum of 3
and 8?

Answers

Answer:

The expression would be (x + 3)(x - 8) and if we multiplied those together we would get x^2 - 5x - 24

Step-by-step explanation:

Grant bought 30 movie tickets for a total of $200. Adult tickets cost $8 each, child tickets cost $3.50
each, and senior tickets cost $6 each. He bought twice the number of adult tickets than the number of
child and senior tickets combined. How many of each type of ticket did Grant buy?

Answers

Answer:

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

64%

Step-by-step explanation:

Step 1: Divide 16 by 25

-> [tex]\frac{16}{25}[/tex] -> [tex]0.64[/tex]

Step 2: Multiply quotient by 100.

[tex]0.64 * 100[/tex] [tex]6.4 * 10[/tex] [tex]64[/tex] 64%

Therefore, 16/25 as a percentage is 64%.

Answer:

Well you can make a proportion

Percentage means ”Out of a hundred”

So you can make a proportion with any fraction Equal to x/100 since

X is the unknown perctange.

in this case it’s 16/25

16/25 = x/100

So cross multiply To solve for X

1600= 25x

x= 64

So 64 Percent

In this case you can use benchmarks. If you do it more or long enough, you’d memorize them.

In this case 25 is a bench mark of 1/4 or 25. 25 goes into 100 4 times so you can multiply 16 by 4 to get your percentage since if you do multiply 4, you have to do it to both the numerator and the Denominator.

so 16/25

16*4= 64

25*4=100

64/100 or 64 percent.

Common benchmarks for percentages

5, 10, 20, 25, 50

5 is always multiply by 20

10 is always multiply by 10

20 is always multiplied by 5

25 is always multiplied by 4

50 is always multiplied by 2

GUYYSSS HURRY I NEED HELP

Answers

Answer:

y≤3-3x

This is because the shaded region is facing down so its not facing Y and 3-3x is the equation of the line.

work out 4 1/2 - 1 1/3

Answers

Answer:

3 1/6

brainliest?

7) f(x) = -x to the power of 2 -4 find f(1)

Answers

if f(x) = -x^2 - 4

then f(1) = -1^2 -4

f(1) = -5

If f(x) = (-x)^2 - 4

Then

f(1) = (-1)^2 - 4

f(1) = 1 - 4

f(1) = -3

Helppp pleasee ........

Answers

y=3
to solve this you just substitute 4 in for x into the equation and solve for y. since negative 3 plus 7 is 4, y=4

Answer:

y=3

Step-by-step explanation:

y = - x +7

x=4

so y = -4 +7

y = 3

can someone help me 6 is 1.2 percent of what number

Answers

500

Step-by-step explanation:

I'm not really sure but I hope it helps

What is the diameter of a circular swimming pool with the radius of 8 feet

Answers

Solution: d=2r=2·8=16ft

Diameter when radius is given is just r*2 (radius*2). so the answer is 16

80% of __ is 16 help

Answers

Answer:

80% of 20 is 16.

Step-by-step explanation:

Hello darling, the answer is 20 ^^

[tex] \frac{5}{8} < \frac{3}{8} x - \frac{1}{4} [/tex]
Solve the inequality and graph the solution.

Answers

[tex] \sf \: \frac{5}{8} < \frac{3}{8} x - \frac{1}{4}[/tex]

[tex]\sf \longmapsto \frac{5}{8} < \frac{3}{8} x + \frac{ - 1}{4} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x + \frac{ - 1}{4 } > \frac{5}{8} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x + \frac{ -1 }{4} + \frac{ - 1}{4} > \frac{5}{8} + \frac{1}{4} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x > \frac{7}{8} [/tex]

[tex]\sf \longmapsto( \frac{8}{3} ) \times (\frac{3}{8} x) > (\frac{8}{3} ) \times ( \frac{7}{8} )[/tex]

[tex]\sf \longmapsto \: x > \frac{7}{3} [/tex]

Graph attached

solve for y: 1/2(4y+6)=4-2(y-6)/3

Answers

Answer:

y = 7/8

Step-by-step explanation:

12y+18=-4y+32

12y+18-18=-4y+32-18

12y=-4y+14

12y+4y=-4y+14+4y

16y=14

16y/16=14/16

y = 7/8

What is x squared = 100

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex] {x}^{2} = 100[/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

your equation is this... x2 - 100

since you have no x term to the first power you can write 0x... like this

x2 + 0x - 100

Now, what numbers will add to 0 and multiply to -100

The numbers 10 and -10 will

10 + -10 = 0

10 * -10 = -100

therefore

(x - 10)(x + 10) is the way you factor it

Step-by-step explanation:

HELP PLSSS!!!
What is the equation of the line?
A: y=2x+2
B: y= 1/2x -4
C: y=1/2x + 2
D: y=2x-4
GIVING BRAINLY TO CORRECT ANSWER

Answers

Answer:

The answer is C

Step-by-step explanation:

Hope that helps ;)

The answer is D. 99.999%

100% of will give me 93

Answers

Answer:

Hi Wdym m=by 100% of will give me 93

Step-by-step explanation:

help - does anyone know how to calculate the gradient of this?

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

To calculate the gradient of a straight line we choose two points on the line. The difference in height y co-ordinates ➗ the difference with width x co-ordinates.
If the answer is positive value then the line is uphill in direction
If the answer is negative value then the line is downhill in direction

Write an equation in slope-intercept form for the line that has a slope of 5 and passes through the point (2, 30).
A. Determine the y-intercept
B. Write the equation of the line

Answers

Answer:

y-intercept = 20

y = 5x + 20

Step-by-step explanation:

Slope: 5

Point: (2,30)

y-intercept: 30 - (5)(2) = 30 - 10 = 20

Three partners are investing a total of $900,000 to open a garden and landscaping store. Their investments are in the ratio of 2:3:5. .

Answers

The first investor you invested $180,000 the second $270,000 and the third $450,000.
Solution:
2+3+5=10
900,000/10=90,000
90,000x2=180,000
90,000x3=270,000
90,000x5=450,000

At an electronics store, Tim earns $15 per hour, plus a 6% commission on his sales. If he works 6 hours and sells $800 in merchandise, how much does he earn in total?A)$138B)$154C)$172D)$196

Answers

Answer:

A. 138

Step-by-step explanation:

Total money earned by Tim is $138. Therefore, option A is the correct answer.

Given that, Tim earns $15 per hour, plus a 6% commission on his sales.

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Tim works 6 hours and sells $800 in merchandise.

So, total income = 15×6 + 6% of 800

=90+0.06×800

=90+48

=$138

Total money earned by Tim is $138. Therefore, option A is the correct answer.

To learn more about the unitary method visit:

https://brainly.com/question/22056199.

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find the value of:
64 x (1/4)³

A. 1
B. 4
C. 15
D.64
brainliest if correct!!

Answers

Answer:

The answer is A. 1

you're welcome

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5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio.

Answers

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5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides
the segment in a 2:1 ratio.