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3 years ago

Prove that the each example below is a Pythagorean triple Sides are 77,420,427

Mathematics

2 answers:

Marysya12 [62]3 years ago

7 0

Proof

To form a Pythagorean triple, the three values must satisfy the Pythagorean theorem:

$a^2+b^2=c^2\\77^2+420^2=427^2\\5929+176400=182329\\182329=182329$

which they indeed do, therefore the numbers 77,420,427 form a Pythagorean triple.

timama [110]3 years ago

5 0

To prove it, you can use the Pythagorean theorem and plug in the numbers. If it equals the same number on both sides it is a Pythagorean triple.

a² + b² = c² (c is the hypotenuse or the longest side/length)

77² + 420² = 427²

5929 + 176400 = 182329

182329 = 182329

It is a Pythagorean triple

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Use this equation : y=6-4x

xenn [34]

Answer:

For table :

X------Y

0------6

1------2

Figure show equation of line: y=6-4x

Step-by-step explanation:

Given equation is y=6-4x

To plot the equation of line, we need at least two points.

Take x=0

The respective value of y on line is

y=6-4x

y=6-4(0)

y=6

The required point is A(0,6)

Take x=1

The respective value of y on line is

y=6-4x

y=6-4(1)

y=2

The required point is B(1,2)

For table :

X------Y

0------6

1------2

Figure show equation of line: y=6-4x

3 0

3 years ago

Which function can be used to represent the graphed geometric sequence? f(x) = 80(One-fourth) Superscript x minus 1 f(x) = 320(O

telo118 [61]

You can use the formula for getting the xth term of a geometric sequence for the graphed points.

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

<h3>What is a geometric sequence and how to find its xth terms?</h3>

There are three parameters which differentiate between which geometric sequence we're taking about.

The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is $a$ and the term by which we multiply the previous term to get the next term is $r$

Then the sequence would look like

$a, ar, ar^2 , ar^3 ....$

(till the terms to which it is defined)

Thus, the xth term of such sequence would be

$f(x) = \text{xth term} = ar^{x-1}$

<h3>How to find the function representing the graphed geometric sequence?</h3>

The points plotted in the graph are

(1,80), (2, 20), (3, 5)

The x coordinate shows the position of the term and the y coordinate shows the value of that position's term in the sequence.

So we have the sequence as

$80, 20, 5 ...$

Thus, a = 80

and we have

$r = \dfrac{ar}{a} = \dfrac{20}{80} = \dfrac{1}{4}$

Thus, the multiplication factor for the given sequence is r = 1/4

Thus, by using the xth term formula, we have:

$f(x) = \text{xth term} = ar^{x-1} = 80 \times (\dfrac{1}{4})^{x-1}\\\\f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Thus,

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Learn more about geometric sequence here:

brainly.com/question/11266123

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3 years ago

Find the equation of the line that goes through (1, 2) and (3, 4).

Likurg_2 [28]

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3 years ago

What is the measure of theta in radians?<br> Enter an exact expression.

klasskru [66]

Answer: pi/3 radians

Step-by-step explanation:

0= arc length/radius

0= pi/3 radians

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4 years ago

in 2018 the company had profits of $16 million. In 2019, the company's profits were $24 million. What was the percent of the inc

Dafna11 [192]

As given by the question

There are given that the profit of $16 milonin 2018 and $24 milion in 2019.

Now,

To find the profit,

$\frac{24-16}{16}\times100$

Then,

$\begin{gathered} \frac{24-16}{16}\times100=\frac{8}{16}\times100 \\ =\frac{1}{2}\times100 \\ =0.5\times100 \\ =50\% \end{gathered}$

Hence, the correct option is C.

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2 years ago