What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

Answers

Answer 1

Answer:

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

$m=1$ and $m+n=4$

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula,

$x=\left((m)/(m+n)\right)\left(x_(2)-x_(1)\right)+x_(1)$

Substituting the values, we get;

$x=\left((1)/(4)\right)\left(4+5\right)-5$

$x=(9)/(4)-5$

$x=-(11)/(4)$

Thus, the x - coordinate of the point P is $-(11)/(4)$

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

$y=\left((m)/(m+n)\right)\left(y_(2)-y_(1)\right)+y_(1)$

Substituting the values, we get;

$y=\left((1)/(4)\right)\left(1+1\right)-1$

$y=(2)/(4)-1$

$y=(-2)/(4)$

$y=-(1)/(2)$

Thus, the y - coordinate of the point P is $-(1)/(2)$

Therefore, the coordinates of the point P is $\left((-11)/(4), (-1)/(2)\right)$

Hence, Option C is the correct answer.

Answer 2

Answer:

Answer:

The answer is C

Step-by-step explanation:

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At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives. Which expression represents the probability that a student chooses an art elective and a history elective?

Can someone please help me ASAP? It’s due tomorrow I will give brainliest if it’s correct

Answers

Answer: A

Step-by-step explanation: Honestly just use the desmos calculator and order them.

Using the property of squares find the value of the following 24 square - 23 square

Answers

Answer:

Step-by-step explanation:

Using the follwing property

$x^(2) -y^2=(x+y)(x-y)$

in which x=24 and y=23

$24^2-23^2=(24-23)(24+23)\n=1(47)\n=47$

Answer:

Step-by-step explanation:

Lets say 24 is x and 23 is y.

the equation would be x^2 - y^2

this is = to (x-y)(x+y)

substitute the numbers in

(24-23)(24+23)

which simplifies to

(1)(47)

which equals 47

Which explanation best describes how to solve this problem? A toy factory makes 59 flying disks in a day. Each day, 3 of the disks are rejected because they are misshaped or unbalanced.

How many good flying disks can the toy factory make in 250 days?

A.
Add 250 and 59. Multiply the sum by 3.

B.
Divide 250 by 3. Multiply the quotient by 59.

C.
Subtract 3 from 59. Multiply the difference by 250.

D.
Multiply 59 by 3. Subtract the product from 250.

Answers

C. Subtract 3 from 59. (56) Multiply the difference by 250. (250×56=14,000)

Election Three candidates run for an office in a local election. In all, 12,936 votesare cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.

Answers

Answer:

3234

4312

5390

Step-by-step explanation:

3x +4x + 5x = 12936

12x = 12936

A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.

Answers

Answer: The probability that a 1 was transmitted is (0.3)²(0.7)³ which = 0.031

Step-by-step explanation:

The attachment below simply explains how to solve it using Bayer's rule

Solve for n

-53+n=-28

Answers

-53+n=-28
n= -28+53
n= 25
Hope this helps you!! =')

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