Who names their child peppermint patty, I mean the candy is good but you gotta be pretty devoted to it to do that.
Answer:
978 in^2
Step-by-step explanation:
the area of the rectangle:
24in X 30in = 720 in^2
the area of the two similar triangles:
12 X 9 / 2 + 12 X 9 / 2 = 108 in^2
the area of the last triangle:
20 in X 15 in /2 = 150in^2
.
the total area is the sum of the areas:
720in^2 + 108in^2 + 150in^2 = 978in^2.
It technically would be y=3x-3 in the y=mx+b formula, but it could also be rewritten 3x-y=3. Hope this helps!
Answer:
8x +15
Step-by-step explanation:
f(x) = 10 + 2x and g(x) = 6x + 5
(f+ g)(x) = 10 + 2x + 6x + 5
Combine like terms
= 8x +15
Answer:
![t= \frac{125}{38} s](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B125%7D%7B38%7D%20s)
Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:
![h(t)= 42 \cdot t +1 - 4\cdot t +2 (degrees \, C)](https://tex.z-dn.net/?f=h%28t%29%3D%2042%20%5Ccdot%20t%20%2B1%20-%204%5Ccdot%20t%20%2B2%20%20%28degrees%20%5C%2C%20C%29)
We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:
![h(t)=128](https://tex.z-dn.net/?f=h%28t%29%3D128)
![42\cdot t+1-4\cdot t+2=128](https://tex.z-dn.net/?f=42%5Ccdot%20t%2B1-4%5Ccdot%20t%2B2%3D128)
Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side
![42\cdot t-4\cdot t=128-1-2](https://tex.z-dn.net/?f=42%5Ccdot%20t-4%5Ccdot%20t%3D128-1-2)
and we simplify:
![(42-4)\cdot t= 128-2-1= 125](https://tex.z-dn.net/?f=%2842-4%29%5Ccdot%20t%3D%20128-2-1%3D%20125)
![38 \cdot t = 125](https://tex.z-dn.net/?f=38%20%5Ccdot%20t%20%3D%20125)
now it's easy to solve for t:
![t=\frac{125}{38}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B125%7D%7B38%7D)
And thus we arrive to the solution.