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Firlakuza [10]
3 years ago
5

Find the length of the leg x

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0

Answer:

15.23

Step-by-step explanation:

That is the missing side.

To find the answer, we need the Pythagorean theorem.

a^2 + b^2 = c^2

Let c be the missing side:

c = a2 + b2 = 142 + 62 ≈ 15.23155

C is equal to 15.23155

shutvik [7]3 years ago
5 0

Answer:

12.65

Step-by-step explanation:

Pythagoras :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle).

a and b are the side legs.

so, here we have

14² = 6² + b²

196 = 36 + b²

160 = b²

b = sqrt(160) = sqrt(16×10) = 4×sqrt(10) = 12.65

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How do i factor x^3+3x^2
Mariulka [41]
All you need to do is pull out the common factor of x^2:
x^3+3x^2=x^2(x+3)
4 0
3 years ago
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For the function F defined by F(x)=x2−2x+4, find F(−2).
Kruka [31]

Answer:

12

Step-by-step explanation:

x^2-2x+4  replace -2 for x

-2^2-2(-2)+4

4+4+4

12

4 0
3 years ago
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Which two values of x are roots of the polynomial below? x2 + 3x - 5
lesya692 [45]

Answer:

Step-by-step explanation:

The roots are the values of x for which x² + 3x - 5 = 0.

Quadratic formula:

x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2

3 0
3 years ago
Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.
alukav5142 [94]

Answer:

<u>The solutions to this quadratic equation are 10 and 3.</u>

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

 x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is  x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

<u>x₁ = 13 + 7/2 = 20/2 = 10</u>

<u>x₂ = 13 - 7/2 = 6/2 = 3</u>

8 0
3 years ago
P(Q) = 12/17<br> P(R) = 3/8<br> If Q and Rare independent events, find the PQ and R).
kodGreya [7K]

Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

6 0
2 years ago
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