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cricket20 [7]
3 years ago
11

Which of the following sets of numbers is not a Pythagorean triple?

Mathematics
2 answers:
vlabodo [156]3 years ago
6 0

Answer:

10,15,20

Step-by-step explanation:

Pythagorean triple is when three number satisfies a^{2} +b^{2} =c^{2}.

For  3,4,5

if a=3, b=4 and c=5

then

(3)^{2} +(4)^{2} =(5)^{2}

9 +16 =25

25 =25

The left hand and right hand side are satiesfied.

So, the numbers 3,4,5 are Pythagorean triple.

For  10,15,20

if a=10, b=15 and c=20

then

(10)^{2} +(15)^{2} =(20)^{2}

100 +225 =400

325\neq400

The left hand and right hand side are not satiesfied.

So, the numbers 10,15,20 are not Pythagorean triple.

Hence, we get the set of numbers which are not Pythagorean triple that is <u>10,15,20.</u>

leonid [27]3 years ago
4 0
10 15 20 since i am pretty sure the rest are a triple(definitely 3 4 5 and 7 24 25 is a triple0 
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Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              a^{2} + b^{2} = c^{2}................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       5^{2} + (x-1) ^{2} = x^{2}

                             ( (a-b)^{2} = a^{2}  + b^{2} -2ab )

               25 + ( x^{2} + 1 - 2x ) = x^{2}

                           25 + 1 -2x = 0               ( ∵ Eliminate x^{2} in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

3 0
3 years ago
Please answer quick, taking test rn.<br> What is the domain of the function in this table?
Anna11 [10]

Domain is the x intercepts and range is the y intercepts.

So for this one, all of the ones in the x column would be the domain values.

C. (1,2,3,4) would be your answer.

good luck on the rest of your test!

5 0
3 years ago
Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.
borishaifa [10]

We have the equation

20y=x^2-10-15

Let's complete the square, to do it let's add and subtract 25 on the right side

\begin{gathered} 20y=x^2-10-15+25-25 \\  \\ 20y=(x-5)^2-15-25_{} \\  \\ 20y=(x-5)^2-40 \\  \\  \end{gathered}

Now we can have y in function of x

\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\  \\  \end{gathered}

Now we can already identify the vertex because it's in the vertex form:

y=a(x-h)+k

Where the vertex is

(h,k)

As we can see, h = 5 and k = -2, then the vertex is

(5,-2)

Now we can continue and find the focus, the focus is

\mleft(h,k+\frac{1}{4a}\mright)

We have a = 1/20, therefore

\begin{gathered} \mleft(5,-2+5\mright) \\  \\ (5,3) \end{gathered}

The focus is

(5,3)

And the last one, the directrix, it's

y=k-\frac{1}{4a}

Then

\begin{gathered} y=-2-5 \\  \\ y=-7 \end{gathered}

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

5 0
1 year ago
Simplify the product using FOIL (2x-7)(5x+5)
babunello [35]

Answer:

10x^2-25x-35

Step-by-step explanation:

FOIL means first, outer, inner, and last.

The first term of each pair is 2x and 5x.

The outer term of each pair is 2x and 5.

The inner term of each pairs are -7 and 5x.

The last term of each is -7 and 5.

Now we just have to multiply the terms I pairs above:

First:   (2x)(5x)=10x^2

Outer: (2x)(5)=10x

Inner: (-7)(5x)=-35x

Last:   (-7)(5)=-35

------------------------------Add the terms:

10x^2-25x-35

7 0
3 years ago
Jacinta, an internet website designer, works a 38 hour week and earns $3115.35 every fortnight. Calculate her earnings:
sveticcg [70]

Step-by-step explanation:

total working duration = 2 weeks

Working duration in hours = 38× 2= 76 hours

a) per year

24*3115.35 = $74768

b) 3115.35/2

$1557.675

c)

3115.35/76

$40.99

6 0
3 years ago
Read 2 more answers
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