It's sometimes true.
One example is the least common multiple of 2 and 3 is 6, which is their product.
But the product isn't always the answer because (example 2:) the least common multiple of 6 and 10 is 30 because 6*5=30 and 3*10=30, however 6*10 is 60.
Ergo, it is only sometimes true.
Answer:
k = 3
Step-by-step explanation:
We have the distance formula:
. We can plug in
= d, x2 = 6, x1=2, y2 = 7, y1 = k.
Then, we can solve the question using some algebra to find that k = 3.
Edit: Here is a step by step:
![4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\](https://tex.z-dn.net/?f=4%5Csqrt%7B2%7D%20%3D%20%5Csqrt%7B%286-2%29%5E2%20%2B%20%287-k%29%5E2%7D%5C%5C)
![(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2](https://tex.z-dn.net/?f=%284%5Csqrt%7B2%7D%29%5E2%20%3D%20%286-2%29%5E2%20%2B%20%287-k%29%5E2)
![32 = (4)^2 + (7-k)^2](https://tex.z-dn.net/?f=32%20%3D%20%284%29%5E2%20%2B%20%287-k%29%5E2)
![32 = 16 + (7-k)^2](https://tex.z-dn.net/?f=32%20%3D%2016%20%2B%20%287-k%29%5E2)
![32 - 16 = (7-k)^2](https://tex.z-dn.net/?f=32%20-%2016%20%3D%20%20%287-k%29%5E2)
![16 = (7-k)^2](https://tex.z-dn.net/?f=16%20%3D%20%20%287-k%29%5E2)
![\sqrt{16} = (7-k)](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D%20%3D%20%20%287-k%29)
![4 = 7-k](https://tex.z-dn.net/?f=4%20%3D%207-k)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:
<span>[(4x + 15) / 5x)] = 1/2 could be written as:
4x + 15 1
----------- = ---
5x 2
Then 8x + 30 = 5x
3x = -30, and so x = -10 (answer). Be certain to check this answer through substitution!
</span>
Https://us-static.z-dn.net/files/dd0/5d5ddccb833d70732c67b84ec119f42f.jpeg