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3 years ago

6x – 7y = 16 2x + 7y = 24 (2, 1) (2, 0) (5, 2) (4, –5)

1 answer:

3 0

6x – 7y = 16
2x + 7y = 24

This system is easily solvable by the elimination method as the y-terms are opposites of each other. You may add the two equations together and they will cancel out.

 6x – 7y = 16
2x + 7y = 24
+___________
8x – 0 = 40
8x = 40
x = 5

Substitute 5 for x into either of the above equation and solve algebraically for y.

2x + 7y = 24
2(5) + 7y = 24
10 + 7y = 24
7y = 14
y = 2

Check work by plugging both x- and y-values into each original equation.

6x – 7y = 16 => 6(5) – 7(2) = 16 => 30 – 14 = 16
2x + 7y = 24 => 2(5) + 7(2) = 24 => 10 + 14 = 24

Answer:
x = 5; y = 2

(5, 2)

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3 years ago

Find and simplify an expression for the area of two rows of b squares with side lengths of b centimeters. Please help!

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Answer:

The complete area of the given figure is $(2 b^3) cm^2$

Step-by-step explanation:

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So here, area of 1 square = Side x side = b cm x b cm = $(b^2) cm^2$

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3 years ago

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3 years ago

Read 2 more answers

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3 years ago

Kendra has a painting canvas that is 22 inches wide by 38 inches high. She painted a red rose, which covered 30% of the canvas.

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Given: 

Breadth of canvas is 22 inches.
Length of canvas is 38 inches.

To Find:

If kendra covered 30% of the canvas by painting red rose, what will be the area of canvas covered by red rose?

Solution: 

To find the area of red rose, first we have to find the area of canvas.

★ Area of Rectangle = Length × Breadth

➝ 22 × 38

➝ 836 in²

So, Area of canvas is 836 inches².

★ Area of red rose:-

➝ 30% of 836 in²

➝ 0.30 of 836

➝ 250.8

Hence, Area covered by the red rose is 250.8

<h2> ____________________</h2><h3>Additional Information: </h3>

★ Triangle => ½bh

★ Rectangle => Length × Breadth

★ Circle => πr²

★ Square => Side × Side

★ Parallelogram => Base × Height

★ Sphere => 4πr²

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2 years ago