Given Point A (3,-4) and Point B (8,6) on directed line segment AB, what is the y-coordinate of Point F
that partitions AB in the ratio of 3:2?

Answers

Answer 1

Answer:

(6,2) y-coordinate is 2

Step-by-step explanation:

Answer 2

The coordinates of the point F on directed line segment AB that partitions AB in the ratio 3 :2 are: (6, 2)

What is Coordinate geometry?

The formula for finding the coordinates of a point that divides the line in ratio m:n are given by:

We are given that Point A (3,-4) and Point B (8,6) on directed line segment AB.

Here (x1,y1) and (x2,y2) are coordinates of the two points line passed through

(x1,y1) = A(-3,-4)

(x2,y2) = B(8,6)

Ratio: 3 : 2

m = 3

n = 2

Putting the values in the formula

( x, y) = (3 x 8 + 2 x 3 /5  , 3 x 6 + 2 x (-4) /5 )

( x, y) = (24 + 6 / 5 , 18 - 8 /5)

( x, y) = (30/5, 10/5)

( x, y) = (6, 2)

Hence,

The coordinates of the point F  are: (6, 2)

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Related Questions

Lucius sells jellyfish jam part-time. He is paid a monthly commission. He receives 30% of his first $900 in sales and 25% of the rest of his sales. Last month he sold $2,600 worth of jam. How much commission did he earn last month?

Answers

Answer:

695

Step-by-step explanation:

First I would septate the 900 from the 2600

2600-900=1700

Then I'll take both %s and turn them to decimal 25%-0.25 30%-0.30

I take the 900 times the 0.30 and the 0.25 times 1700

900x0.30=270

1700x0.25=425

then add them both together

270+425=695

f(x) = x ^ 2 What is g(x)? ​

Answers

Answer:

A ; g(x) = (1/2 x)^2

Step-by-step explanation:

Here, we want to get g(x)

we have a point on the curve g(x)

The point is represented by (2,1)

What this mean here is that, when x = 2, y = 1

Looking at the first option;

Substitute 1 for y and 2 for x

1 = (1/2 * 2)^2

1 = 1

This means this is our answer

The equation for g(x) is;

g(x) = (1/2 x)^2

Which of the following are not perfect squares? Select all that apply.


16

44

81

6

49

24

Answers

Answer and Step-by-step explanation:

44, 6, and 24 do not have perfect squares.

To be a perfect square, they have to be able to have a number that, when it multiplies itself by itself (needs to be a whole number), it turns into the bigger number.

44, 6, and 24 can't do this when being square rooted.

16 turns into 4.

81 turns into 9.

49 turns into 7.

#teamtrees #PAW (Plant And Water)

Answer:

44, 6, and 24

Step-by-step explanation:

4²=16 so it's a perfect square

9²=81 so it's a prefect square

7²=49 so it's a perfect square

44, 6, and 24 all result in decimals so it's not a perfect square.

Sally bought 4 chocolate bars and 8 lollipops and paid $8.00. Josh bought 3 chocolate bars and 10 lollipops and paid $7.00.



What is the cost of a lollipop? Enter your answer as a decimal

Answers

Answer:

Lollipops cost $0.25

Step-by-step explanation:

4C + 8L = $8.00

3C + 10L = $7.00.                  We need to cancel out chocolate bars

-12C - 24L = $-24.00        Mulitply by -3

12 C + 40L = $28.00           Muliply by 4          Next simplify

16L = $4.00                   Divide both sides by 16

L = $0.25

WE CAN EVEN CHECK OUR WORK

4C + 8(0.25) = $8.00

4C = $6.00

C = 1.5

3(1.5) + 10(.25) = $7.00

4.5 + 2.5 = 7

Saul makes trail mix with peanuts, raisins, and pretzels. The ratio of cups of raisins to cup of peanut is 1 to 6. The ratio of cups of pretzels to cups of raisin is 3 to 1. Decide if the statement is true or false. "Saul uses 6 times as many cups of peanuts as cups of raisin." *
1 point
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

What is the probability that you get two even numbers if you roll two dice?

Answers

Answer:

Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.

Step-by-step explanation:

can u help me
the question is: find the value of x for each equation below and the numbers is
-x+3=3x-2
1.5x-3=2.25x
-1/3x+2=3x-1​

Answers

Answer:

1. x=5/4

2. x=-4

3. x= 9/10

Step-by-step explanation:

Let's solve your equation step-by-step.

−x+3=3x−2

Step 1: Subtract 3x from both sides.

−x+3−3x=3x−2−3x

−4x+3=−2

Step 2: Subtract 3 from both sides.

−4x+3−3=−2−3

−4x=−5

Step 3: Divide both sides by -4.

−4x/−4 = −5/ −4

x= 5/4

Answer:

x= 5/4 (5 over 4)

Let's solve your equation step-by-step.

1.5x−3=2.25x

Step 1: Subtract 2.25x from both sides.

1.5x−3−2.25x=2.25x−2.25x

−0.75x−3=0

Step 2: Add 3 to both sides.

−0.75x−3+3=0+3

−0.75x=3

Step 3: Divide both sides by -0.75.

−0.75x/−0.75=3/−0.75

x=−4

Answer:

x=−4

Let's solve your equation step-by-step.

−1/3x+2=3x−1

Step 1: Subtract 3x from both sides.

−1/3x+2−3x=3x−1−3x

−10/3x+2=−1

Step 2: Subtract 2 from both sides.

−10/3x+2−2=−1−2

−10/3x=−3

Step 3: Multiply both sides by 3/(-10).

(3/−10)*(−10/3x)=(3/−10)*(−3)

x=9/10

Answer:

x=9/10 (9 over 10)

Find the function h(x) = f(x) + g(x) if f(x) = 4^x + 2 and g(x) = x - 4.

h( x) = 4 x + 1 -2
h( x) = 4 x + x + 6
h( x) = 4 x - 4
h( x) = 4 x + x - 2

Answers

Answer:

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

Step-by-step explanation:

h(x)=f(x)+g(x)=4^x+2+x-4=4^x+x-2

Triangle Congruency please help!!

Answers

Answer:

A

Step-by-step explanation:

the nice thing about triangle is that the smallest angle is always opposite the smallest side, etc. also, we can get the remaining angle because we have 2 angles already and there are always 180 degrees in a triangle.

50+ 63= 113

180-113 =67

so, 50 is the smallest angle and thus the side opposite of it is the smallest. next is side bc because 63 is the next biggest angle measure. lastly, side ac is the largest because it's opposite of the largest angle measure

Answer:

a

Step-by-step explanation:

Find the distance between -6 and 8.
What is an expression that represents the distance

Answers

Answer:

14

Step-by-step explanation:

8 - |-6| = 14

|| means absolute value, or the distance the number has from 0 on the number line. ex. |-92| = 92    |8| = 8

Please really could use the help

Answers

X is 8 because they are similar triangles you have to get the top to equal the bottom at a bigger proportion.
X is 8.................

What is the input value when the output value is 31.5?
HELP PLEASE ASAP

Answers

the answer is C, i’m a math teacher

Answer:

The correct Answer is 9 my good sir ( or ma'am )

Step-by-step explanation:

Simple, just flip the equation around and change the multiplication sign to a division sign.

So basically with all planks filled in its 9 times 3.5 which is equal to 31.5

Brianliest? :/

Hope I helped

A group of friends were working on a student film. They spent all their budget on props and equipment. They spent $693 on props, and 37% of the total budget on equipment. What was the total budget for their student film?

Answers

Answer:

$1100

Step-by-step explanation:

Let the total budget = b

amount spent on props + amount spent on equipment = total budget

If 37% of the budget was spent on equipment

The percentage spent on props = 100% - 37% = 63%

63% of the total budget is $693

the above sentence presented as an equation gives :

63/100 x b = 693

to find b, divide both sides of the equation by 100/63

b = $1100

Answer:

1100

Step-by-step explanation:

0.36 x 20 = x10

14 divided by 50 = +100

need ASAP please help​

Answers

Answer:

0.36 × 20 = 7.2

7.2 × 10 = 72

14 ÷ 50 = 0.28

0.28 + 100 = 100.28

Can anyone help please with 6 and 7 I’m in desperate need of can someone help please and God bless

Answers

6.) 9
5(9)+18=63
Divide 9+13x (since its the entire line) by 2 to get 4.5+6.5x so it can equal Half
4.5+6.6(9)=63

7.) IF=HF
The three lines indicate they are equal to eachother

Hope that helps!

Somebody tell me the answer to this please

Answers

Answer:

its (0, 3) or (3, 0)

Step-by-step explanation:

its not A. or D.

Answer:

[tex](3,0)[/tex]

Step-by-step explanation:

The x-intercept(s) of a function is the point(s) where the function intersects the x-axis, or the horizontal axis. If we look at the graph, we see that the function intersects the x-axis when [tex]x=3[/tex] (we know this because [tex]3[/tex] is directly in between [tex]2[/tex] and [tex]4[/tex]) and [tex]y=0[/tex], so the answer is [tex](3,0)[/tex]. Hope this helps!

i need help to solve for x

Answers

Answer: 15°

Step-by-step explanation:

A square has a side length of x inches. Each side of the square will be increased by 8 inches to create a larger square. If the larger square has a perimeter of 40 inches, what is the side length, in
inches of the original square?

Answers

x = 2

A square has 4 sides. To get the perimeter of a square, you could multiply the length of one side by 4.

One side of the larger triangle is x inches plus an additional 8 inches, which can be written as (x+8)

To get the perimeter of the larger square, multiply the expression (x+8) by 4. The question states the larger square’s perimeter is 40 inches.

You end up with this equation: 4(x + 8) = 40

To solve first distribution 4 into (x + 8).
4x + 32 = 40 | subtract 32 from both sides
4x = 8 | divide each side by 4
x = 2 inches

So the side length of the original square is 2 inches. To check your work, go back and plug x = 2 into the original equation. 8 in + 2 in = 10 inches, and 10 inches x 4 = 40 inches, so x = 2 is the solution

Jada walks up to a tank of water than can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water.



a. At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.

b. How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.

c. How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

Answers

Answer:

a.  rate to empty the tank = - 2/3 gal/min

b,  7.5 min to empty the tank

c.  4.5 min.

Step-by-step explanation:

I use the formula that the work done = rate of work times the time working = W = rt

The work in this problem is emptying the tank.  

a.  The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min

b.   5/(2/3) = 15/2 = 7.5 min to empty the tank

c.    Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.

I am completely lost. I don’t know the answer.

Answers

Answer:

when in doubt the answer is always c

Step-by-step explanation:

Step-by-step explanation:

option b.

......................

I posted another question :)

Answers

Answer:

the first one is correct

Step-by-step explanation:

SOMEONE HELP PLEASE EXPLAIN THE ANSWER

Answers

B
Is the right answer

Which equation matches the given graph?
A. f(x) = x^2 - 2x - 4
B. f(x) = x^2 - 3x + 16
C. f(x) = 2x^2 - 4x - 2
D. f(x) = 2x^2 + 12x + 16

Answers

Answer:

B

Step-by-step explanation:

(13.04 LC)
What unit of measurement would you use to measure the capacity of a juice
box?
Yards
Liters
Milliliters
Meters

Answers

a juice box is pretty small? so maybe milliliters?
but if it’s big, then litres would be the best one

A construction company is currently working on six projects. The table shows the progress of each of the projects represented as a decimal.

What is the range of the progress of these projects? ​

Answers

Answer:

Step-by-step explanation:

can u give the answer to the quiz

The range of the project will be equal to 0.82.

What is the range in statistics?

When the sample maximum and minimum are subtracted, the range of a set of data is the difference between the largest and smallest values. It uses the same units as the data to express itself.

The given data of the project is,

u             0.87

v            0.31

w           0.08

x            0.05

y            0.19

z            0.5

The range will be calculated as the difference between the maximum value to the minimum value.

Range = 0.84 - 0.05

Range = 0.82

Therefore, the range of the project will be equal to 0.82.

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Determine the scale factor.
y
4
P Р
A.
4
-3
-2
P?
B.
1
2
Q
d'
4 5 6 7
0
9 x
1 2
R'
C. 2
-2
R
D. 4

Answers

Answer:

The scale factor from PQR to P'Q'R' is ½

You roll a die twice.
What is the probability of rolling a number greater than 2 and then
rolling a number less than 6?

Answers

Answer:

The probability the chances are there is an even chance

Step-by-step explanation:

also if you can plz help on this question

Sharecropping agreements were written in such a way that generally favored the sharecropper.

true or false

The class size for 8 classrooms is shown.

14, 22, 24, 25, 25, 28, 32, 34

Which class size affects the range of all 8 classes the MOST?

Answers

Answer: The answer is 14

Step-by-step explanation:

The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].

To understand the calculations, check below

Define range.

The range of a collection of numbers is the difference between the maximum and smallest values. Subtract the lowest as from highest number in the dispersion to discover it.

True upper limit minus true lower limit of a class interval is known as the class size.

The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].

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What's another way to define absolute value?
The opposite of a number
The multiplicative inverse of a number
The distance of a number from zero
a. n
The value of a number

Answers

Answer:

the distance of a number from zero

Step-by-step explanation:

in other words, it is the positive value of the number.

if the number is negative then the absolute value is the positive of it.

if the value is positive, then it is still positive.

3(n - 1) < 21
Does anyone know the answer and solution?

Answers

Answer:

[tex]n < 8[/tex]

Step-by-step explanation:

[tex]3n - 3 < 21 \\ 3n - 3 + 3 < 21 + 3 \\ 3n = 24 \\ \frac{3n}{3} < \frac{24}{3} \\ n < 8[/tex]

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