C. G is both the midpoint
If we were to fold this into a prism, the rectangle on the left would be the base. The short sides of the triangles would fold to meet up with the 5 inch sides of the base. Then the rectangle on the right would fold down and fit between the two triangles, meeting up with the base. Visualizing the shape in 3 dimensions allows us to figure out the lengths of some sides. For example, the short sides of the triangles both equal 5 inches. Also, the long sides of the triangles equal 13 inches and the long side of the base is 8 inches.
The surface area is the area of all the surfaces.
8*5=40
8*12=96
2*(0.5*5*12)=60
13*8=104
Add these up..
40+96+60+104=300 in^2
pretty much about the same as before.
a = weight of a large box
b = weight of a small box.
we know their combined weight is 65 lbs, thus a + b = 65.
we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.
Since it is a slope, the equation of a slope is y=Mx+b. So you want to get b to that format. To do this, you need to isolate the y on the left. To do this, you simply add 2x to both sides. Your final answer will be y=2x+7. Hope this helps!
9514 1404 393
Answer:
input: 0 or -4
Step-by-step explanation:
<u>Given</u>:
c(y) = y² +4y
<u>Find</u>:
y such that c(y) = 0
<u>Solution</u>:
0 = y² +4y . . . . . desired condition
0 = y(y +4) . . . . . factor
We have the product of two factors. The "zero product rule" tells us that the product is only zero if one or more of the factors is zero.
y = 0 . . . . . makes the factor y be zero
y = -4 . . . . . makes the factor (y+4) be zero
The inputs you're looking for are 0 or -4.