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marysya [2.9K]
3 years ago
9

-2(11-12x)= -4(1-6x)

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

The given equation -2(11 - 12x) = -4(1 - 6x) has infinite solutions

<u><em>Solution:</em></u>

Given that we have to solve the given expression

Given expression is:

-2(11 - 12x) = -4(1- 6x)

We have to use distributive property to solve the given expression

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Which means,

a(b + c) = ab + ac

Apply this in given expression

-2(11 - 12x) = -4(1-6x)

-22 + 24x = -4 + 24x

When both sides of the equation are simplified, the coefficients are the same, then infinite number of solutions occur

If we end up with the same term on both sides of the equal sign, such as 24x = 24x, then we have infinite solutions

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Answer:  The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

Step-by-step explanation:

I will assume that the exercise says "\frac{1}{3} times the base and height of Jerry’s rhombus".

The area of a rhombus can be calculated with the following formula:

A=b*a

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Then, you can calculate the area using the formula shown above.

Therefore, you get:

1. Jerry's rhombus:

A_1=(15\ in)(9\ in)\\\\A_1=135\ in^2

2. Charlene's rhombus:

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Dividing the area calculated, you get:

\frac{135\ in^2}{15\ in^2}=9

Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.

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