For both problems, we can use the section formula.
1) ![P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}](https://tex.z-dn.net/?f=P%3D%5Cleft%28%5Cfrac%7B%281%29%281%29%2B%285%29%28-9%29%7D%7B6%7D%2C%20%5Cfrac%7B%281%29%288%29%2B%285%29%283%29%7D%7B6%7D%20%5Cright%29%3D%5Cboxed%7B%5Cleft%28-%5Cfrac%7B22%7D%7B3%7D%2C%20%5Cfrac%7B23%7D%7B6%7D%20%5Cright%29%7D)
2) ![Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}](https://tex.z-dn.net/?f=Z%3D%5Cleft%28%5Cfrac%7B%282%29%287%29%2B%281%29%281%29%7D%7B3%7D%2C%20%5Cfrac%7B%28%282%29%285%29%2B%281%29%282%29%7D%7B3%7D%20%5Cright%29%3D%5Cboxed%7B%285%2C%204%29%7D)
Answer:
1234567890
Step-by-step explanation:
Each of the digits is divisible by their individual index in the number. Adding a 0 at the ends allows for the number to be divisible by 10 and completes the 10 digit requirement.
In order to find the equation of a line, you would have to use the equation y=mx+b.
First, find the slope:
![\frac{y_{2}- y_{1} }{x_{2} x_{1} }](https://tex.z-dn.net/?f=%20%5Cfrac%7By_%7B2%7D-%20y_%7B1%7D%20%7D%7Bx_%7B2%7D%20x_%7B1%7D%20%7D%20)
There is (1,8) and (2, 16) so plug that in 16-8/2-1 = 8. That's your slope! (Or the m)
Next in order to find b, you have to plug in a point:
y=8x+b
Take (1,8) and plug it in for x and y:
8=8(1)+b
b=0
Your y intercept is 0 (which you can also see on the graph)
So your answer is: y=8x
Answer:
28,500,000 into scientific notation is 2.85 x 10⁷
2.85 x 100 in scientific notation is 2.85 x 10²
if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else
The amount of pounds of vegetable needed in fractions to make the stew exactly 10 pounds is 3 3 / 8 pounds
<h3>How to solve fractions?</h3>
The amount of pounds of vegetable needed to make the stew exactly 10 pounds can be calculated as follows:
potatoes weight = 2 7 / 8 pounds = 23 / 8 pounds
green beans weight = 1 1 / 4 = 5 / 4 pounds
pepper weight = 2 1 / 2 = 5 / 2 pounds
Therefore,
weight needed = 10 - 23 / 8 - 5 / 4 - 5 / 2
weight needed = 80 - 23 - 10 - 20 / 8
weight needed = 80 - 53 / 8
weight needed = 27 / 8
weight needed in fractions to make the stew exactly 10 pounds = 3 3 / 8 pounds
learn more on fractions here: brainly.com/question/27894307
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