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svlad2 [7]
3 years ago
6

The distance formula is based on which theorem?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
8 0
It's based on the Pythagorean Theorem.
MrRa [10]3 years ago
4 0
It is based on Pythagorean theorem.
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If 3x - 1 = 11, what is the value of x2 + x?
Alex
3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then 
2x + x = 2(4) + (4) = 8 + 4 =12 
6 0
3 years ago
What is the perfect cubes between 1000 and 3000 that are even numbers
Bogdan [553]
<span>12^3 = 1728 and 14^3 = 2744 First, let's reduce the range of numbers to check. The cube root of 1000 is 10 and the cube root of 3000 is 14.4225. So we need to look at the numbers 11, 12, 13, and 14. Not looking at 10 since the question states "BETWEEN 1000 and 3000". Now the only way you're going to get an odd number when multiplying 2 numbers is if both numbers are odd. And since we're looking for perfect cubes, that would imply that we're cubing an even number. So the answers will be 12^3 = 1728 and 14^3 = 2744</span>
8 0
3 years ago
Pythagorean theorem 19^2 + 21^2=x^2
alexira [117]

Answer:

x = 28.32 units.

Step-by-step explanation:

Given:

Longer leg = 21

Shorter leg = 19

Hypotenuse = x

To Find:

Hypotenuse = x = ?

Solution:

Pythagoras Theorem States that

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting of the given value above equation we get

x^{2} =21^{2}+ 19^{2}\\ \\x^{2}=441 + 361\\\\x^{2}=802\\ \therefore x=\pm\sqrt{802} \\\textrm{as x cannot be negative}\\\therefore x=\sqrt{802}\\\\\therefore x=28.319\ units\\\therefore x=28.32\ units

7 0
3 years ago
Read 2 more answers
Write an expression to match the words three times the sum of 8 and 4
Eddi Din [679]
3× (8+4)=
...............
8 0
3 years ago
Todd is training to bike in the Turkey Trot Bike Race and rode his bike 7 ¾ miles per hour for 2 2/3 hours. How many miles did T
trapecia [35]
(7 3/4 mi/h)*(2 2/3 h) = 20 2/3

Todd rode 20.667 miles.
_____
A calculator that works with mixed numbers is a handy thing.
5 0
3 years ago
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