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marusya05 [52]
2 years ago
14

3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q

Mathematics
1 answer:
garri49 [273]2 years ago
8 0

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

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Answer:

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3 years ago
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Answer:

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We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

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Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

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Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

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Putting each component into an equation:

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Simplifying:

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Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

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3 years ago
Read 2 more answers
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hjlf
Answer:
(y - 1)(5y - 2)

Solution:

Factor:
2 - y(7 - 5y)

Apply the Distributive Property:
2 - 7y + 5y²

Reorder the expression:
5y² - 7y + 2

Rewrite the term:
5y² - 5y - 2y + 2

Regroup terms into two proportional parts:
(5y² - 5y) + ( -2y + 2)

Factor Greatest Common Factors out:
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Answer:

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Step-by-step explanation:

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1: 2.8

6 0
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