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nadezda [96]
3 years ago
5

If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s+4)2

=196 for s to find the length of a side of the patio
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

The answer to your question is initial length = 10 ft final length = 14 ft

Step-by-step explanation:

Data

length = s

Area = 196

Equation

                        (s + 4)² = 196

Expand

                        s² + 8s + 16 = 196

Solve for s

                        s² + 8s + 16 - 196 = 0

                        s² + 8s - 180 = 0

Factor

                        (s + 18)(s - 10) = 0

Find s₁ and s₂

                         s₁ + 18 = 0           s₂ - 10 = 0

                         s₁ = -18                s₂ = 10                      

Conclusion

The initial length of a side was 10 ft, because the are no negative lengths -18 is discarded.

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Is it supposed to be a attached picture to the question?
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3 years ago
Who’s right? And why?
kvasek [131]

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

(x_1,y_1) = (3,275) \text{ and } (x_2,y_2)  = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.

Flipped around it means each time x goes up by 1, y goes up by 75.

This means each time we add on an extra hour, the cost goes up by $75.

The DJ charges $75 an hour. Raymond is correct.

3 0
2 years ago
Buchanan corp. is refunding $10 million worth of 10% debt. the new bonds will be issued for 8%. The corporation's tax rate is 35
Alik [6]
The net cost of call premium can be calculated considering the total amount after taxes deductions times the percentage of the call premium.

Writing the percentage as a decimal number, we get:

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The <span>net cost of the call premium after taxes is 585000$.</span>

5 0
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Pavlova-9 [17]

Answer:

Hi! The answer to your question is A. 24

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

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3 0
3 years ago
the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side
VARVARA [1.3K]

Answer:

5

Step-by-step explanation:

A 30-60-90 triangle's sides equal as follows:

Hypotanuse= x (a number)

Long side= x/2( also can be calculated as x* 1/2) * \sqrt{3}

Short side = x/2 or x * 1/2

5 0
3 years ago
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