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kotykmax [81]
3 years ago
12

1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2

+ b2 = c2. (2x + 5)(2x + 5) + (x + 3)(x + 3) = (2x + 7)(2x + 7)
Mathematics
1 answer:
erik [133]3 years ago
5 0
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


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Answer:

The answer to your question is 1 5/7 or 1.7 hours ≈ 1:43 min

Step-by-step explanation:

Data

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Process

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3.- Solve it for x

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6 0
3 years ago
the best player on a basketball team makes 75% of all free throws. The second best makes 70% of all free throws, and the third-b
weeeeeb [17]

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Step-by-step explanation:

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3) Using this knowledge, we know that a player who makes 5% of his throws makes 2 shots.

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7 0
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What is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)?
Triss [41]

Answer:

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Step-by-step explanation:

To find the equation of this line, start by using the two points with the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

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Now that we have the slope, we can use that and either point in point-slope form to find the equation.

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4 0
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In a right​ triangle, the hypotenuse is twice as long as one leg. If the length of the other leg is 12 ​meters, find the exact l
solniwko [45]

Answer:

Step-by-step explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

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h2=100ft2+289ft2

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→19.7ft

4 0
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