Answer:
Point (1,8)
Step-by-step explanation:
We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.
When a point divides any segment internally in the ratio m:n, the formula is:
![[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2Cy%3D%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
Let us substitute coordinates of point P and Q as:
,




![[x=\frac{4}{4},y=\frac{32}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4%7D%7B4%7D%2Cy%3D%5Cfrac%7B32%7D%7B4%7D%5D)
Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.
The answer is 24 grams > 1.679 grams
Hope this helps <3
Answer:
The top one
Step-by-step explanation:
Just count how many are in each catagory
The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months
<h3>How to determine the number of months?</h3>
The functions are given as:
- Colony 1: f(x) = x^2
- Colony 2: g(x) = 2^x
When colony 2 has more bacteria than colony 1, then it means that:
g(x) >f(x)
Substitute the function values
2^x > x^2
From the graph of both functions, we have:
2^x > x^2 at x >4
This means that colony 2 will always have more bacteria than colony 1 after 4 months
Read more about functions at:
brainly.com/question/11464095
#SPJ1
Answer:
Why cheat on NWEA? Kinda strange if you ask me. It has 0 benefit to you.
Step-by-step explanation: