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AnnyKZ [126]
3 years ago
8

Can someone explain the Pythagorean theorem to me, please?

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0
Pythagorean theorem is applied to the right triangles. 

Pythagorean theorem is a²+b²=c².

a is the length is the leg, b is also a leg and c is the hypotenuse
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X2+2x +2 is equivalent to.
charle [14.2K]
////// The answer is: 4x+2
4 0
3 years ago
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Aaron wants to mulch his garden. His garden is x^2+18x+81 ft^2 One bag of mulch covers x^2-81 ft^2 . Divide the expressions and
blsea [12.9K]

Answer:

Step-by-step explanation:

Given

Garden: x^2+18x+81

One Bag: x^2 - 81

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

Bags = \frac{x^2+18x+81}{x^2 - 81}

Expand the numerator

Bags = \frac{x^2+9x+9x+81}{x^2 - 81}

Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}

Bags = \frac{(x+9)(x+9)}{x^2 - 81}

Express 81 as 9²

Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}

Evaluate as difference of two squares

Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}

Bags = \frac{(x+9)}{(x - 9)}

Hence, the number of bags is Bags = \frac{(x+9)}{(x - 9)}

3 0
3 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.
Murljashka [212]
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: <span>(−<span>5/8</span>,−<span>41/16</span>)</span>
Focus: <span>(−<span>5/8</span>,−<span>5/2</span>)</span>
Axis of Symmetry: <span>x=−<span>5/8</span></span>
Directrix: <span>y=−<span>21/8</span></span><span><span>   x.        y
</span><span><span>−3.       </span>20
</span><span><span>−2.        </span>5
</span><span><span>−<span>5/8.    </span></span><span>−<span>41/16
</span></span></span><span> 0.          <span>−1
</span></span><span>1.           <span>8


</span></span></span>

3 0
3 years ago
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Nikolay [14]

Answer:

x = -2, x = 6

Step-by-step explanation:

18 = 3|x - 2| + 6

12 = 3|x - 2|

4 = |x - 2|

4 = x - 2    and    -4 = x - 2

x = 6    and    x = -2

4 0
3 years ago
Read 2 more answers
A company has 200 machines. Each machine has 129 probability of not working. If you were to pick 40 machines randomly, the proba
alexgriva [62]

The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.

Given a company has 200 machines. Each machine has a 12% probability of not working.

If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.

So

1) probability that 5 would not be working

C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵

                                ≈ 0.18665

2)  probability that at least one machine would be working

0.88⁴⁰ ≈ 0.00602

3) probability that all would be working

1 - 0.12⁴⁰ ≈ 1.0000

Learn more about probability here: brainly.com/question/24756209

#SPJ10

7 0
2 years ago
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