Encuentra las coordenadas del punto P(x,y) que divide al segmento P1P2 con coordenadas
de sus extremos P1(x1,y1) y P2(x2,y2) dada la razón r.
P1(-1,6) P2(3,-3) r = ¾

Answers

Answer 1

Usando segmentos de línea, se encuentra que el punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

El punto P1 es dado por (-1,6).El punto P2 es dado por (3, -3).

El punto P divide el segmento en la razón [tex]r = \frac{3}{4}[/tex], o sea:

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

La coordenada x de P1 es -1.La coordenada x de P2 es 3.La coordenada x de P es x.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]x + 1 = 3[/tex]

[tex]x = 2[/tex]

La coordenada y de P1 es 6.La coordenada y de P2 es -3.La coordenada y de P es y.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]y - 6 = -\frac{27}{4}[/tex]

[tex]y = -\frac{27}{4} + \frac{24}{4}[/tex]

[tex]y = -\frac{3}{4}[/tex]

El punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Step-by-step explanation:

X would be the absolute value of 6 or -6 since they both are 6 units from 0 so it can be x=|6| or x=|-6|. Either way, they both equal to 6

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Step-by-step explanation:

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what to do here I don't know sorry

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Hello there hello hello

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Answer:

(-4,-7)

Step-by-step explanation:

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Step-by-step explanation:

If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?

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Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.

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Then:

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Answer:

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Step-by-step explanation:

"The stock rose 8 points."

The word rose indicates that the number will be positive.

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Answer:

D

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

Answer
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Step-by-step explanation:

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Suppose that a risk-free investment will make three future payments of $250 in 1 year, $250 in 2 years, and $250 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 4 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 6 percent? $

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Answer:

la théorie des plaques est

The total present value will be $693.75

The total present value will be $668.23

What is Future Value?

Future value is the value of an asset or investment as of some future date. In other words, the future value is the sum of money that an investment will be worth, assuming a certain rate of return, after a specific amount of time (interest rate).

First, i= 4/100 = 0.04

n= 1, 2, 3

Amount= $250

So, Present Value = 250/ (1 + 0.04) +  250/ (1 + 0.04)² +  250/ (1 + 0.04)³

=  250/ 1.04 + 250/ 1.04² + 250/ 1.04³

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= $693.75

So, The total present value will be $693.75

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Answer:

  a) cost per book: $6

  b) delivery fee: $3.25

Step-by-step explanation:

a)

If we assume the cost per book and the delivery fee are constant, then we can find the cost of 2 books by subtracting the cost for 4 books from the cost for 6 books

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The relationship between delivered cost and number of books is not proportional. There are no proportions to solve in this problem.

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Answers

She will need at least a 98

The minimum score Jenny need on that exam to have an overall mean of 80 is 98.

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In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given that, after three exams, Jenny has a mean score of 74.

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no link no bot right please

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Answer:

2143.57 cm^3

Step-by-step explanation:

the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57

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Solve the system.
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O C. The system has no solution.

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Answer:

True

Step-by-step explanation:

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answer is ‘38 meters’ B
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The _______ of an observation is determined by how far the values of the independent variables are from their means.

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Answer:

The leverage of an observation is determined by how far the values of the independent variables are from their means.

Hey everybody! Can anybody help me out with this algebra problem? I would really appreciate it if you can!

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x and y are directly related because y = -3x

Step-by-step explanation:

Find the average rate of change of the function from x=1 to x=2.



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Enter the exact answer.



Average rate of change =

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Answer:

Average rate of change = [tex]\frac{15}{2}[/tex]

Step-by-step explanation:

For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].

Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].

Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].

In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].

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