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cupoosta [38]
3 years ago
9

Please help!!! 3(x – 10) = -9

Mathematics
2 answers:
sergey [27]3 years ago
3 0

Answer:

The answer is x = 7

Step-by-step explanation:

Divide each term by  3  and simplify. Move all terms not containing  x  to the right side of the equation.

Rainbow [258]3 years ago
3 0

Answer:

\huge\boxed{x=7}

Step-by-step explanation:

In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.

Let's apply the distributive property on the left side:

(3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9

Add 30 to both sides:

3x - 30 + 30 = -9 + 30\\\\3x = 21

Divide both sides by 3:

3x \div 3 = 21 \div 3\\\\x = 7

So x = 7.

Hope this helped!

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Step-by-step explanation:

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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

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divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
4 years ago
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