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vichka [17]
3 years ago
7

Given directed line segment PR below, find the coordinates of Q on PR

Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

(\frac{4}{3},-3)

Step-by-step explanation:

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (x_1,y_1) and B(x_2,y_2) is given by the formula:

x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1

From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:

x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3}   \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3

Point Q is at (\frac{4}{3},-3)

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Answer:

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Step-by-step explanation:

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During a sale, a baseball team allows people to buy either a classic ticket (C), or an autograph event ticket (A). Suppose two c
scZoUnD [109]

Sample size is the number of subjects that are included in research or survey. The sample space for this action is CC, CA, AC, and AA.

<h3>What is a sample size?</h3>

Sample size can be defined as the number of subjects that are included in research or survey.

As it is given that there are two customers, and each of the customers buys any one of the two tickets, a classic ticket (C), or an autograph event ticket (A).

Now, as each of the customers has two choices, therefore, the sample space for this action can be written as,

CC - When both of the customers buy a classic ticket.

CA - When the first customer buys a classic ticket(C) while the other buys an autograph event ticket (A).

AC - When the first customer buys an autograph event ticket (A) while the other buys a classic ticket(C).

AA - When both of the customers buy an autograph event ticket (A).

Hence, the sample space for this action is CC, CA, AC, and AA.

Learn more about Sample Size:

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3 years ago
50 Points! Question In Image Show ALL Work
Nataliya [291]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ First identify and assign the variables:

q = number of quarters

d = number of dimes

This is what we know:

q + d = 22

A quarter is 25 cents and a dime is 10 cents

You can write this as:

0.25q + 0.1d = 3.40

Rearrange the first equation for d

d = 22 - q

Substitute this value into the other equation:

0.25q + 0.1(22 - q) = 3.40

Simplify:

0.25q + 2.2 - 0.1q = 3.40

0.15q + 2.2 = 3.4

Subtract 2.2 from both sides:

0.15q = 1.2

Divide both sides by 0.15:

q = 8

Substitute into the first equation:

8 + d = 22

d = 14

Therefore, there are 8 quarters and 14 dimes.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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