3 years ago

Which of the following numerical expressions results in a negative number?

Mathematics

1 answer:

nydimaria [60]3 years ago

8 0

Answer:

Step-by-step explanation:

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$3:$4

you divide both sides by 4

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The height of a triangle is 4 inches. Greater than twice it's base. The area of the triangle is no more than 168 in.². Which any

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Step-by-step explanation:

this problem seeks to test our knowledge on word problems and algebra

<u>Solution</u>

let the base be x, and

the height h = 2x+4

We know that area of a triangle is given as

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substituting our given values we have

$168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\$

re-arranging we have

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we can now find two factors that will add up to give 2 and multiply to give -168

they are 14 and -12

$x^2-14x+12x-168=0\\\\x(x-14)+12(x- 14)=0\\\\x+12=0\\\\x=-12\\\\x-14=0\\\\x=14$

The possible base of the triangle is 14 in

and the height is

$h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in$

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