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Setler [38]
3 years ago
12

Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer

Mathematics
1 answer:
sweet [91]3 years ago
8 0

Let's form the difference of the two expressions and see what we can learn.

(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)

Since y > x, this is positive, so 2y -x is greater than 2x -y.

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Read 2 more answers
(Problem on image.)...
ANEK [815]
Hey there! :) 

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem! 

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in! 

a² + b² = c²  → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

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Get the square root of b² & 300.

\sqrt{b^2} =  \sqrt{300}

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~
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