Segment AB with endpoints at A(6, 5) and B(6, 15) is partitioned by point P according to the ratio of 3:2. Find the coordinate of point P.

Answers

Answer 1

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]

[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]


Related Questions

change 35:14 to a decimal number

Answers

Answer:

35/14 as a decimal = 2.5 · 35/14 in decimal form = 2.5 · Thirty-five fourteenths as a decimal = 2.5 · 35 over 14 as a decimal = 2.5

A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?

Answers

The solids have the same volume.

What is Volume?

Volume is the measure of the capacity that an object holds.

Volume of triangular prism be

= Base area * height

= 12*10

=120 cm³

Volume of rectangular prism be,

=10*3*4

=120 cm³      

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Please help I cannot find this question

Answers

Answer: B

Explanation:
f(x) = f(a+2)
So simply sub a+2 in for x in the equation.
f(a+2)=3(a+2) + 5/a+2

vertex (3,-2) and y-intercept (0,7).
Write your answer in this form: (X₁,Y1), (X2,2).
If necessary, round to the nearest hundredth.
Enter the correct answer.

Answers

Answer:

3±√2/3 = x

Step-by-step explanation:

As you already have the vertex, the equation for this is y = a(x – h)^2 + k,

so by plugging all this in using the vertex coordinates, you get y = 3(x - 3)^2-2, so, if you divide everything by three you get 2/3 = (x - 3)^2

This means that the two x-intercepts are:

Find the surface area of the prism.
mi
8 mi
8/12 mi
The surface area is
square miles.
112

Answers

Answer: 433.5 square miles or 433 1/2 square miles

Step-by-step explanation

[tex]SA = 6x^{2}[/tex]

[tex]SA = 6 *(8.5)^{2} \\\\SA = 6*72.25\\\\SA = 433.5[/tex]

please help!

Thank you.

Answers

Answer:

Option A ----> -5

Step-by-step explanation:

Slope of a graph is given by the equation :

[tex]\frac{dy}{dx}[/tex] where d means change in .

Lets take the y-intercept (0,2) and (-1,7)

Change in y = 5

Change in x = -1

5/-1 = -5

Our answer will therefore Option A ---> -5

Hope this helped and brainliest please

Find the absolute mean deviation of this data set:
8, 8, 4, 12

Answers

Answer:

2 is the absolute mean deviation

Step-by-step explanation:

absolute mean deviation is

the average of the differences of the data from the average

8, 8, 4, 12

1. take the average

8+8+4+12=32 -> 32/4 = 8

2. subtract each number from this average

8 - 8 = 0

8 - 8 = 0

4 - 8 = 4 (there are no negative answers)

12 - 8 = 4

3. take the average of these subtractions

0+0+4+4=8 -> 8/4 = 2

4. answer: 2 is the absolute mean deviation

What is the midpoint between (8,-5) and (2,-2)?
O (3,-1.5)
O (10,-7)
O (5, -1.5)
O (5,-3.5)

Answers

Answer:

O (5,-3.5)

Step-by-step explanation:

Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational​

Answers

Step-by-step explanation:

remember what a rational number is ?

any number that can be expressed by a/b, with a and b being integer numbers, and b different to 0.

so,

-7 = -7/1 rational

sqrt(10) irrational, because there is no rational number that multiplied by itself is 10.

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

C= 5/9(F-32)
urgent!!! will give 50 points

Answers

Answer:

25°

Step-by-step explanation:

hope it helps you solve the question

what does 7,124 ÷ 26 equal to?

Answers

274

hope that helps

:D

btw i used long division

Which number is equivalent to 16 1/2

Answers

Answer:

8

Step-by-step explanation:

I will mark brainliest!
Graph the line that represents a proportional relationship between Y and X where the UNIT RATE of change is Y with respect to X is 4/5. In other words, a change of 1 unit in X corresponds to a change of 4/5 units in Y.

Answers

Answer:

see below    

Step-by-step explanation:

Just graph           y = 4/5 x

Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 4, 0) and (0, negative 2).
a.
y = negative one-half x minus 2
c.
y = 4 x minus 2
b.
y = negative 2 x minus 4
d.
y = negative 4 x minus 2



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

  a.  y = -1/2x - 2

Step-by-step explanation:

The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.

__

slope

The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...

  m = rise/run = -2/4 = -1/2

In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.

__

equation

The slope-intercept equation is ...

  y = mx +b . . . . . . . slope m, y-intercept b

We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...

  y = -1/2x -2 . . . . . matches choice A

_____

Additional comment

When answering multiple-choice questions, you only need to do enough work to tell which answers are not viable.

When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.

area of rectangle 5 7/8km x 18/4km

Answers

Answer:

if ur in college then how do u not know this

Step-by-step explanation:

use ur brain

A restaurant chef wants to install a new floor in her kitchen. The kitchen measures 8 meters wide and 11 meters long, and the flooring costs $8.71 per square meter. How much will the chef's new floor cost?

Answers

Answer:

$766.48

Step-by-step explanation:

area = length × width

area = 11 m × 8 m = 88 m²

cost = 88 m² × $8.71/m²

cost = $766.48

Cordell Johnson purchased a snow blower for $237.00 and two bags of rock salt for
$3.15 each. What is the total purchase price if he lives in Maine where the sales tax
rate is 5%?
a. Total cost of all items?
b. Sales tax?
c. Total price with sales tax?

Answers

Answer:

a.240.15

Step-by-step explanation:

a.240.15

b.12.0075

c.252.1575

I'd appreciate the help!

Answers

Answer:

Step-by-step explanation:

Please pick one of the options.

Answers

9880 different possibilities are there in Sally's new combination option second 9880 is correct.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Total unique numbers consists in a Sally locker = 3

From the digits 0 to 39

Total numbers = 40

Apply combination formula:

= C(40, 3)

= 40!/(3!37!)

= 9880

Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.

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What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?

Answers

The return on equity for  the firm is 18.75%.

Return on equity

Return on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]

Let plug in the formula

Return on equity=.15+ [(.75)× (.15-.10)]

Return on assets=.15+ (.75×0.05)

Return on assets=.15+0.0375

Return on equity=0.1875×100

Return on equity=18.75%

Therefore the return on equity ratio is 18.75%.

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Which of the following is an arithmetic sequence with common difference –5?

Answers

The arithmetic sequence that has a common difference of -5 from the options given is: A. 8, 3, -2, -7...

What is the Common Difference of an Arithmetic Sequence?

The common difference of an arithmetic sequence is determined as: a term - previous term.

For the sequence, 8, 3, -2, -7,.. the common difference is:

-7 - 2 = -2 - 3 = 3 - 8 = -5.

Therefore, the arithmetic sequence with a common difference of -5 is: A. 8, 3, -2, -7...

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Can someone help me with this math problem?
see attached photo

Answers

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

How to determine the value of trigonometric reasons

In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.

If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:

sec θ = r/x

[tex]\frac{r}{x}= -\frac{6\sqrt{11}}{11}[/tex]

Then x = - 11, r = 6√11 and the value of y is:

[tex]y = \sqrt{r^{2}-x^{2}}[/tex]

y = 5√11

By trigonometric expressions we have this formula for sin 2θ:

sin 2θ = 2 · sin θ · cos θ

sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²

sin 2θ = [2 · (- 11) · (5√11)]/396

sin 2θ = - (5/18) · √11

By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.

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PLEASE HELP 50 POINTS
The total leaf mass of a certain species of young plant saplings is approximately normally distributed with a mean of 14.2 grams and a standard deviation of 0.5 grams.
a. What is the probability of obtaining a randomly chosen plant sapling with a total leaf mass of more
than 15 grams?
b. Identify the leaf mass that would represent the 99th percentile.

Answers

Answer:

THE ANSWER IS A

Step-by-step explanation:

CORRECT IF I WRONG



The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?

Answers

Answer:

16 new releases and 22 classic movies.

help me to give answer....

Answers

6. There are 24 hours in a day and he spends 0.6 (60%) percent of it studying. You do 24x0.6= 14.4 this means that he spent 14.4 hours studying.

8. A dozen is 12 so you do 8.75x12= 105 for a dozen oranges.

9. 15.5x1.6= 24.8km

10. 1 year is divided into 4 quarters, each quarter is three months because 12 months divided by 4 is 3. That means she paid 18,800 in march since it’s the third month of the year, in another three months she would pay 18,800 again. Every 1 month she pays 6,266 because 18,800 divided by 3 is 6,266. Every 12 months (or year) she pays 75,200 because 18,800x4= 75,200.

11. Every month he makes 8,000 and he saves 0.4 (40%) percent of it each month. 8,000x0.4=3,200 this means he saves 3,200 every month. Multiply 3,200 by 6 months and he saves 19,200 in 6 months.

(Didn’t do 7 and 12 sorry but hope this helped you understand better!)

Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year?

Answers

Based on the AFN equation, the AFN for the coming year will be -$16000.

How to calculate the AFN?

Last year's sales =$200,000

Sales growth rate = g = 40%

Forecasted sales = S0 × (1 + ) = 280,000

∆S = change in sales = S1 − S0 = $80,000

Last year's total assets = A*0 = A*0 since full capacity $135,000

Forecasted total assets = A*1 = A*0 × (1 + g) = $189,000

Last year's accounts payable = $50,000

Last year's accruals= $20,000

L*0 = payables + accruals = $70,000

Profit margin = M = 20.0%

Target payout ratio = 25.0%

Retention ratio = (1 − Payout) = 75.0%

AFN = (A*0/S0)ΔS – (L*0/S0)ΔS – Margin × S1 × (1 − Payout)

AFN = $54,000 – $28,000 – $42,000

= -$16,000

The complete question goes thus:

Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below.

Last year's sales = $200,000

Sales growth rate = 40%

Last year's accounts payable = $50,000

Last year's notes payable = $15,000

Last year's accruals = $20,000

Based on the AFN equation, what is the AFN for the coming year?

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Calculate 6 2/3 x 5


Fractions btw

Answers

Answer:

33 1/3

Step-by-step explanation:

divide 2/3 which is 0.66... then multiply that by 5 which is 3.33...

then multiply 6 times 5 which is 30, then add 30 and 3.33... which is 33.33...

in fraction form that is 33 1/3

I will give you brainlest if you are the first one to answer(and the best)

Answers

Answer:

4 kg

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Add to find total mass:

2.5 + 3.5 + 3.5 + 5 + 5.5 = 20

Since there is a total of 5 bags and want to evenly distribute divided by 5,

20 / 5 = 4

A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters

Answers

Answer:

761.25 m³

Step-by-step explanation:

l = 15 , w = 14.5 , h = 3.5

Volume of a rectangular prism is given by the formula :

V = lwh

V = 15 × 14.5 × 3.5

V = 761.25

Units will be m³

I am attaching an image for visual understanding

Hope this helped and brainliest please.

Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?

Answers

You could have ran 418.41 km.
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