3 years ago

MARKING BRAINLIEST What is the simplest form of the expression 1/2(10x - 6y - 8x)

Mathematics

1 answer:

Nadya [2.5K]3 years ago

8 0

Collect like terms

1/2((10x - 8x) - 6y)

Simplify (10x - 8x) - 6y to 2x - 6y

1/2(2x - 6y)

Simplify 2x - 6y/2

2x - 6y/2

Factor out the common term 2

2(x - 3y)/2

Cancel 2

Answer: D. x - 3y

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Find the length of the missing side. the triangle not drawn to scale. (Image attached)

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Answer: 8

Step-by-step explanation:

The triangle shown in the image attached is a right triangle.

Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:

$a^2=b^2+c^2$

Where a is the hypotenuse and b and c are the legs.

The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from $a^2=b^2+c^2$ , as following:

$17^2=15^2+c^2\\c=\sqrt{17^2-15^2}\\c=8$