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2 years ago

8

The height of a triangle is 2 units longer than it's base. If the area is 12 square units,what is the length of the base

1 answer:

Delicious77 [7]2 years ago

6 0

The vase of the triangle would be x because it is unknown and the height would be x+2 because it is 2 more units than the base the formula for the area of a triangle is (base)(height)% 2 =area so (x)(x+2)%2=12 so then you have 1/2x^2+x=12 at this point I would move the 12 to the other side by subtracting to get 1/2x^2+x-12=0 then I would multiply it all by 2 to get x^2 + 2x-24 from there I would factor to get (x+6)(x-4) and your answers would be x= -6 and 4 and because 6 is negative it would not work because distances are always positive so the base would equal 4

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If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{

Elis [28]

Answer:

x = 36

Step-by-step explanation:

$x - 12\sqrt{x} + 36 = 0$

Subtract x and 36 from both sides.

$-12\sqrt{x} = -x - 36$

Divide both sides by -1.

$12\sqrt{x} = x + 36$

Square both sides.

$144x = x^2 + 72x + 1296$

Subtract 144x from both sides.

$0 = x^2 - 72x + 1296$

Factor the right side.

$0 = (x - 36)^2$

$x - 36 = 0$

$x = 36$

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

$x - 12\sqrt{x} + 36 = 0$

$36 - 12\sqrt{36} + 36 = 0$

$36 - 12\times 6 + 36 = 0$

$36 - 72 + 36 = 0$

$0 = 0$

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

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3 years ago

Write 500m out of 4km as a percentage

xz_007 [3.2K]

Answer:

∴ 5.5% is 55 m of 1 km.

___________________

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2 years ago

Determine the number of crawlers and rovers to make,that will maximize the company profit in a given week

Dmitriy789 [7]

Answer:

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1 year ago

For a map a scale of 2 inches to 70 miles is used. If the distance on the map measures 1.8 inches what is the actual distance

asambeis [7]

Answer:

63 miles

Step-by-step explanation:

2/70 = 1.8/x Cross multiply

2x = 70 * 1.8 Combine

2x = 126 Divide by 2

x = 126/2

x = 63

The actual distance is 63 miles.

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2 years ago

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rewona [7]

Answer:

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Step-by-step explanation:

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3 years ago