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Stella [2.4K]
3 years ago
8

Is 5, 12, 14 a pythagorean triple ? Show why or why not?

Mathematics
2 answers:
Ket [755]3 years ago
3 0

Answer:

No

Step-by-step explanation:

Let's test these values using the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

a and b are the legs, or the shorter sides. 5 and 12 are the shorter sides, so they are a and b.

c is the hypotenuse, or the longest side. 14 is the longest side, so it is c.

5^2+12^2=14^2

Evaluate all the exponents

25+144=196

Add 25 and 144

169=196

169\neq196

169 is not equal to 196, so 5, 12 and 14 cannot be a Pythagorean Triple

-Dominant- [34]3 years ago
3 0

Answer:

No

Step-by-step explanation:

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I will mark you as brainliest if you're answer is correct​
GalinKa [24]

Answer:

perimeter = 28.13 cm

Step-by-step explanation:

Calculate the length of a line drawn from A to C.

sin 85 = b/8, b = 7.97

cos 85 = c/8, c = 0.697

AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37

AC = 10.41

Now you have a right triangle ADC with a known hypotenuse and  one leg.

Using the Pythagorean theorem:

DC² = 10.41² - 5²

DC² = 108.37 - 25 = 83.37

DC = 9.13 cm

perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm

8 0
2 years ago
((16 - (4/2))^2) × 3 =
VARVARA [1.3K]

Answer:

588

Step-by-step explanation:

((16 - (4/2))^2) × 3      Simplify the inner parentheses

((16 - 2)^2) x 3     Solve inner parentheses again

((14)^2) x 3        Solve exponents

196 x 3      Multiply

588

7 0
3 years ago
What is the perimeter of the quadrilateral shown below?
GarryVolchara [31]

The perimeter of a shape is the sum of the lengths of its sides.

So, to find the perimeter of this quadrilateral, all we have to do is add the side lengths and simplify.

(x² - 6) + (2x + 5) + (x² - 3x) + (4x² + 2x)

x² + x² + 4x² + (-3x) + 2x + 2x + (-6) + 5

6x² + (-3x) + 2x + 2x + (-6) + 5

6x² + x + (-6) + 5

6x² + x + (-1)

6x² + x - 1

So, the perimeter of the quadrilateral is the quantity (6x² + x - 1).

Hope this helps!

8 0
3 years ago
If F(x)=3x-2/6 which of the following is the inverse of F(x)?
lana66690 [7]

Answer:

Step-by-step explanation:

I'm seeing that f(x) is

\frac{3x-2}{6}

What you do to find an inverse is switch the x and y coordinates and then solve for the new y.  Switching the x and y gives us:

x=\frac{3y-2}{6}

Now we have to solve for the new y.  Begin by muliplying both sides by 6 to get:

6x = 3y - 2 and

6x + 2 = 3y so

2x + 2/3 = y

To put it back into function notation:

f^{-1}(x)=2x+\frac{2}{3}

6 0
3 years ago
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6 0
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