<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u> </u>√15 units
Step-by-step explanation:
Let (6,1) be (x^1,y^1) and (1,-9) be (x^2,y^2) .
As we know ,
Distance(D) = √(x^1-x^2) +(y^1-y^2)
Now,
D= √(x^1-x^2) +(y^1-y^2)
= √(6-1) +(1+9)
= √5+10
= √15 units
: Therefore the distance between (6,1) and (1,-9) is √15 units.
Y^3 * y^5 = y^8. you add the exponents
Answer:
-25 ,B
Step-by-step explanation:

Use the distributive property to multiply 3 by x−4.

Subtract 5x on both sides.

Combine 3x and −5x to get −2x.

Add 12 to both sides.
![\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-2x%20%3E%202%2B12%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%202%20%2B12%5D%7D%7D)

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
![\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%20%3C%20%5Cdfrac%7B14%7D%7B-2%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSplit%5D%7D%7D)

So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.
ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
Answer:
14
Step-by-step explanation:
This is a division problem.
We want to find how many 1/3 liters are in 4⅔ liters.
We divide to obtain:

Or

Convert to improper fraction.


This simplifies to

Therefore there are fourteen ⅓ liters in 4⅔ liters