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2 years ago

An equation is shown below:

Mathematics

2 answers:

zubka84 [21]2 years ago

8 0

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

By applying the distributive law to this equation, we can produce the equation :

4x − 12 − 5x − 5 = 3;

The distributive property is a mathematical function in which each element in the parentheses is multiplied by the one outside of it;

4(x − 3) − 5(x + 1) = 3

In the equation;

4 distribute over the first parentheses and -5 over the second one;

So we expand;

4x - 13 - 5x -5 = 3

In distributive property, expansion simply takes place.

Naya [18.7K]2 years ago

4 0

Answer:

The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

Hope I helped :D

Step-by-step explanation:

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Rufina [12.5K]

Answer:

16.2

Step-by-step explanation:

The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.

Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:

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3 years ago

Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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