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const2013 [10]
3 years ago
5

Line segment JK is divided by point L in the ratio of 3:2. Endpoint J is at (-16, 2) and point L is at (-15, -20). What are the

coordinates of endpoint K?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

9514 1404 393

Answer:

  K(-14 1/3, -34 2/3)

Step-by-step explanation:

The division ratio says ...

  (L -J)/(K -L) = 3/2

  2(L -J) = 3(K -L)

  5L -2J = 3K

  K = (5L -2J)/3

  K = (5(-15, -20) -2(-16, 2))/3 = (-75+32, -100-4)/3 = (-43/3, -104/3)

  K = (-14 1/3, -34 2/3)

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Step-by-step explanation:

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3 years ago
What is the inverse of the functionf(x)=2x+1
inna [77]
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')

so we have
f(x)=2x+1

replace f(x) with y
y=2x+1

switch x and y
x=2y+1

solve for y
x=2y+1
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7 0
3 years ago
Write the prime factorization for 65,169
posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

6+5+1+6+9=27=3\cdot 9

So, we can divide the number by 3 and keep going with the factorization:

65169\div 3 = 21723

This number is again divisible by 3, because

2+1+7+2+3 = 15 = 3\cdot 5

We have

21723\div 3 = 7241

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

7241\div 13 = 557

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

3^2\cdot 13 \cdot 557

8 0
3 years ago
Maria added 45,273 and 37,687 and got the sum of 70,960. is maria's answer reasonable? explain.
ankoles [38]
Maria isn't correct of this. Adding these will get you 82960 (You add the numbers) She must have miscalculated.
7 0
3 years ago
Please help me find the answer​
Ksivusya [100]

Answer:

-4 1/4

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8 0
3 years ago
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