Answer:
y=5x+8
Step-by-step explanation:
If its perpendicular it will have opposite slope but the same y intercept
Just pick random it’s helpful
Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be ![x.](https://tex.z-dn.net/?f=x.)
And the kitten weight = ![\frac{x}{2} -3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20-3)
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
![(x)+(\frac{x}{2}-3)=18](https://tex.z-dn.net/?f=%28x%29%2B%28%5Cfrac%7Bx%7D%7B2%7D-3%29%3D18)
![x+\frac{x}{2} -3=18](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bx%7D%7B2%7D%20-3%3D18)
![\frac{2x+x-6}{2} =18](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2Bx-6%7D%7B2%7D%20%3D18)
![\frac{3x-6}{2} =18](https://tex.z-dn.net/?f=%5Cfrac%7B3x-6%7D%7B2%7D%20%3D18)
<em>Multiplying both sides by 2 we get:</em>
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<em>Adding both sides by 6 we get:</em>
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<em />
<em>Dividing both sides by 3 we get:</em>
<em />
<em />
<em>The weight of cat = 14 pounds.</em>
Substituting the value of
to get the kitten's weight:
![\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20-3%5C%5C%5C%5C%3D%5Cfrac%7B14%7D%7B2%7D-3%5C%5C%5C%5C%3D7-3%5C%5C%5C%5C%3D4.)
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.