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2 years ago

The area of a triangle is 3x3-16x²+9x+28 and the base is x-4. Use synthetic

Mathematics

1 answer:

zalisa [80]2 years ago

7 0

Answer:

Step-by-step explanation:

If "3x3" is supposed to be 3x³, you need to use ^ to indicate that there is an exponent. 3x^3 = 3x³.

area = ½(x-4)(height) = (3x³-16x²+9x+28)

height = 2(area)/(x-4)

Using synthetic division, (3x³-16x²+9x+28) ÷ (x-4) = 3x²-4x-7

height = 2(3x²-4x-7) = 6x² - 8x- 14

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kolbaska11 [484]

Answer:

When y=276, x= 23

Step-by-step explanation:

Since they're directly proportional, when divided they have to equal the same.

180/15= 12 and 276/23= 12

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3 years ago

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kondaur [170]

I forgot that but good luck

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2 years ago

Raymond was asked to solve for the length of the hypotenuse in a right triangle with legs that have side lengths of 4 and 5. His

ohaa [14]

Answer:

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

$c = \sqrt{41}$

Step-by-step explanation:

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2 years ago

X² + y² = 8

ohaa [14]

Answer:

$(2,2)~ \text{and}~ (-2,-2)$

Step by step explanation:

$x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\$

$\text{Hence,}~ (x,y) = (\pm2, \pm 2)$

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2 years ago

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lubasha [3.4K]

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3 years ago