Write an equation in standard form for the line that had an undefined slope and passed through (-6, 4)
1 answer:
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The Pythagorean's Theorem for our situation would look like this:
So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:
And of course we have to expand. Doing that will leave us with
Combining like terms we have
Our job now is to get everything on one side of the equals sign and solve for s
That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!
It's a combination:
The prime factorization of 240 is . 3 . 5 ⇒ last answer
Step-by-step explanation:
Prime number is the number that has only 2 factors 1 and itself
{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}
In prime factorization we use only the prime numbers
Ex: The factors of 15 are 1 , 3 , 5 , 15,
Then the prime factors of 15 are 3 and 5 only because they are
prime numbers
So to find the prime factors of a number do that
1. Factorize the number by divide it using prime numbers only
2. Write the number as a product of its prime factors
∵ 240 divisible by first prime number 2
∴ 240 ÷ 2 = 120
∵ 120 ÷ 2 = 60
∵ 60 ÷ 2 = 30
∵ 30 ÷ 2 = 15
- We divided the number by 2 for 4 times
∴ is a prime factor of 240
∵ 15 is divisible by prime number 3
∴ 15 ÷ 3 = 5
∴ 3 is a prime factor of 240
∵ 5 is divisible by prime number 5
∴ 5 ÷ 5 = 1
∴ 5 is a prime factor of 240
∴ The prime factors of 240 are , 3 , 5
The prime factorization of 240 is . 3 . 5
Learn more:
You can learn more about factors in brainly.com/question/5194236
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