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3 years ago

Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution? pls help :)

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

To solve you can use inverse operations.

Here are the steps to find the answer:

1. Write out the equation: -6(x-2)+3x= -3(x+3) +21

2. Distribute both sides: -6x+12+3x= -3x-9+21

3. Simplify both sides: -3x+12=-3x+12

4. This equation is true for all values, or infinity, because the equation is the same on both sides

Let me know if you need further explanation. I hope this helps.

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Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE. He knows that ABCD is a 140 m by 150 m rectangle He also kn

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Answer:

AE = 120.83 m DE= 148.66 m

The perimeter of the pentagon is 699.49 meters

Sketch attached.

Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <u><em>this must be a concave pentagon.</em></u>

To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.

AE: c² = 110² + 50² c=√14600 AE = 120.830 m

DE: c² = 100² + 110² c = √22100 DE = 148.661 m

Add those lengths and the remaining sides of the 140m × 150m rectangle to calculate the perimeter.

280+150+120.83+148.66= 699.49

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