Answer:
(1.2. - 4.7)
Step-by-step explanation:
On a coordinate plane, a line is drawn from point A to point B. Point A is at (7,-2) and point B is at (-8,-9).
Now, it is asked the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8.
So, the coordinates of point C are
![[\frac{5 \times (- 8) + 8 \times 7}{5 + 8}, \frac{5 \times (- 9) + 8 \times (- 2)}{5 + 8}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%20%5Ctimes%20%28-%208%29%20%2B%208%20%5Ctimes%207%7D%7B5%20%2B%208%7D%2C%20%5Cfrac%7B5%20%5Ctimes%20%28-%209%29%20%2B%208%20%5Ctimes%20%28-%202%29%7D%7B5%20%2B%208%7D%5D)
= ![[\frac{16}{13}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B16%7D%7B13%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2. - 4.7) (Answer)
{Round to the nearest tenth}
<h3>
Answer: Choice C</h3>
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Explanation:
For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4
Check out the attached image below for the sorted table I'm referring to
We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one
4 times 1/2 = 2
2 times 1/2 = 1
1 times 1/2 = 1/2
1/2 times 1/2 = 1/4
and so on. Effectively we can say the decay rate is 50%
$50 corresponds to 4 kg
That means there must be a number that when you multiply by 4 you get 50.
Let that number be k. k is the price of cheese per kg.
1 kg: y = k * 1
2 kg: y = k * 2
Answer: -6P - 10
Step-by-step explanation:
STEP 1. -12 - 6P + 2
STEP 2. -6P + ( -12 + 2 )
STEP 3. -6P - 10
If the number of days is d and he writes 3 pages for every d, then we can say
3d = 81