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2 years ago

Whats the pythagorean Theorem?

Mathematics

2 answers:

ikadub [295]2 years ago

4 0

It’s the last one.
a^2+b^2=c^2

Kaylis [27]2 years ago

4 0

Answer:

It is used to find a side of a triangle.

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2}$

Remember : This only works in Right angled triangles.

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1. the sum of the first n odd positive integers is 64. what is the value of n ?

chubhunter [2.5K]

The value of the n is 8.
There are 7 positive integers between 100 and 200 which are divisible by 14.

<u>Step-by-step explanation:</u>

The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.

i.e. 1 + 3 + ........+ (2n-1) = n^2.

1 + 3 +..........+ (2n-1) = 64

n^2 = 64

n = 8.

The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.

100 = 7 * 14 + 2

200 = 14 * 14 + 4. The answer is 14 - 7 = 7

The seven numbers are

14 * 8 = 112

14 * 9 = 126

14 * 10 = 140

14 * 11 = 154

14 * 12 = 168

14 * 13 = 182

14 * 14 = 196

6 0

3 years ago

Evaluate f(-12) given f(x) = -21x - 12

frozen [14]

Answer:

The answer for the given function is f( -12 ) = 240.

Step-by-step explanation:

Given:

$f(x)=-21x-12$

To Find :

F ( -12 ) = ?

Solution:

Function:

A function is like a machine that gives an output for a given input.
A function has an independent variable which is called the input of the function.
The output for a given input is called the dependent variable.

For Example

f ( x ) = x + 3

x = independent variable

f ( x ) = Output for a given input

Here we have

$f(x)=-21x-12\\Put\ x=-21\\\therefore f(-12) = -21\times -12 - 12\\\therefore f(-12) = 252 - 12\\\therefore f(-12) = 240$