to find slope use ![m = \frac{6 - 5}{-2 - (-1)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B6%20-%205%7D%7B-2%20-%20%28-1%29%7D)
which means the answer is -1
Answer:
208 square inches of cardboard.
Step-by-step explanation:
We have been given that Connie is making a cardboard ice-cream truck for a school project. The truck is 8 inches long, 4 inches wide, and 6 inches tall. We are asked to find the amount of cardboard used by Connie to make the truck.
We will use surface area of cuboid to solve our given problem.
![\text{Surface area of cuboid}=2(lw+wh+hl)](https://tex.z-dn.net/?f=%5Ctext%7BSurface%20area%20of%20cuboid%7D%3D2%28lw%2Bwh%2Bhl%29)
Upon substituting our given values in above formula, we will get:
![\text{Amount of card-board needed}=2(8\cdot 4+4\cdot 6+6\cdot 8)](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20card-board%20needed%7D%3D2%288%5Ccdot%204%2B4%5Ccdot%206%2B6%5Ccdot%208%29)
![\text{Amount of card-board needed}=2(32+24+48)](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20card-board%20needed%7D%3D2%2832%2B24%2B48%29)
![\text{Amount of card-board needed}=2(104)](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20card-board%20needed%7D%3D2%28104%29)
![\text{Amount of card-board needed}=208](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20card-board%20needed%7D%3D208)
Therefore, Connie needs 208 square inches of cardboard.
Answer:
B is the correct answer I believe..
Step-by-step explanation:
Answer:
![x^2+y^2=25](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D25)
Step-by-step explanation:
Recall the following Pythagorean Identity:
![\sin^2(\theta)+\cos^2(\theta)=1](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta%29%2B%5Ccos%5E2%28%5Ctheta%29%3D1)
Let's solve the x equation for cos(t) and the y equation for sin(t).
After the solve we will plug into our above identity.
x=5cos(t)
Divide both sides by 5:
(x/5)=cos(t)
y=5sin(t)
Divide both sides by 5:
(y/5)=sin(t)
Now we are ready to plug into the identity:
![\sin^2(t)+\cos^2(t)=1](https://tex.z-dn.net/?f=%5Csin%5E2%28t%29%2B%5Ccos%5E2%28t%29%3D1)
![(\frac{y}{5})^2+(\frac{x}{5})^2=1](https://tex.z-dn.net/?f=%28%5Cfrac%7By%7D%7B5%7D%29%5E2%2B%28%5Cfrac%7Bx%7D%7B5%7D%29%5E2%3D1)
![\frac{x^2}{5^2}+\frac{y^2}{5^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B5%5E2%7D%2B%5Cfrac%7By%5E2%7D%7B5%5E2%7D%3D1)
Multiply both sides by 5^2:
![x^2+y^2=5^2](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D5%5E2)
This is a circle with center (0,0) and radius 5.
All I did to get that was compare our rectangular equation we found to
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where (h,k) is the center and r is the radius of a circle.