7(x - 2) = 3(x + 4) solve the following equation. then enter your answer in the space provided using mixed number format.

In mixed number format: 6 1/2

Step-by-step explanation:

To solve the following equation: 7(x - 2) = 3(x + 4), first we need to apply the distributive property:

7(x - 2) = 3(x + 4) → 7x -14 = 3x + 12

Solving for 'x' → 4x = 26 → x = 6.5

→ In mixed number format: 6 1/2

For this case we must solve the following equation:

Applying distributive property to the terms within the parenthesis we have:

We subtract 3x on both sides of the equation:

Adding 14 to both sides of the equation:

Dividing between 4 on both sides of the equation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation:

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