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Snowcat [4.5K]
3 years ago
13

line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you wou

ld verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer: Section formula

Step-by-step explanation:

Given

The line segment AB with endpoints A(2,2) and B(14,14) is divided by a point X in the ratio 1:2

To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.

We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.

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The length of a rectangle is given by L=3y + 4x while the width is
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The sum of two numbers is 90. the larger number is 6 less than twice the smaller. find the numbers.
lana [24]

Answer:

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Step-by-step explanation:

Let's set up equations.

The sum of two numbers (x and y) is 90: x + y = 90

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We have our system of equations:

x + y = 90

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Let's use substitution.

Substitute y = 2x - 6 into the first equation.

x + y = 90

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Combine like terms.

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Add 6 to both sides to isolate x.

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Divide both sides by 3 to further isolate x.

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Now that we know x, let's find y.

Plug in x = 32 into one of our original equations.

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Multiply.

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Now we have x = 32, y = 58.

Check your answer by plugging these values into one of our original equations.

x + y = 90

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Add.

90 = 90

Your solution is correct.

Hope this helps!

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