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3 years ago

Li Juan solves the equation below by first squaring both sides of the equation.

Mathematics

2 answers:

emmasim [6.3K]3 years ago

8 0

-3w + 13
Happy New Year

ANTONII [103]3 years ago

4 0

Answer:

Step-by-step explanation:

(13-2w)^2 = 169 - 52w + 4w^2

(w+6)^2 = w^2 + 12w + 36

Setting them equal:

169 - 52w + 4w^2 = w^2 + 12w + 36

3w^2 - 64w + 133 = 0

Using the quadratic formula, we get

x = (64 +/- sqrt(64^2 - 4*3*133))/6

64^2-12*133 = 2500. sqrt(2500) = 50.

x = (64 +/- 50)/6.

x = 19 or 14/6 = 7/3.

Solving the original equation:

7 = 3w.

w = 7/3.

Therefore 19 is extraneous.

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2 years ago

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Mr. Malone can heat his house in the winter by burning three cords of wood, by sing natural gas, or by combination of the two. H

Xelga [282]

Answer:

The linear equation can be written as

$3x+y-(x+y)=$600$

Step-by-step explanation:

Given that "Mr. Malone can heat his house in the winter by burning three cords of wood, by sing natural gas, or by combination of the two"

And his heating budget for the winter is $600

To find a linear equation that describes the problem:

Let the cords of wood be x and let sing natural gas be y

So that the combination of the cords of wood and sing natural gas is x+y

Now the linear equation can be written as

$3x+y-(x+y)=$600$

6 0

3 years ago

Which ratio is equivalent to 12 over 14

Alecsey [184]

12/14=6/7

Because you divide by 2.

5 0

3 years ago

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Find the value of 5.8 ÷ 1.2. Round your answer to the nearest hundredth. A. 5.24 B. 4.83 C. 6.96 D. 4.6

Sedaia [141]

5.8/1.2 = 58/12 = 4.83333333

rounded to the nearest hundredth

4.83

8 0

3 years ago

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A cuboid has side lengths 3cm, 4cm and 7cm. A cylinder with a height double that of the longest side of the cuboid has the same

mart [117]

Step-by-step explanation:

Longest side of cuboid: 7cm

Height of cylinder:

2 × 7 = 14 cm

Volume of cuboid:

7x3x4=84 $cm^3$

Volume of cylinder:

$84=14\pi r^2 \\r=\sqrt{\frac{6}{\pi} } \ \ \ cm\\r=1.38 \ cm\\$

Surface area of the cylinder:

$\pi r^2 + 2 \pi r h$

$6+2\pi (\sqrt{\frac{6}{\pi} } ) (14)$

=128 cm^2

4 0

2 years ago