Answer:
See explanation
Step-by-step explanation:
Paul has three cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below.
- The combined volume of the three boxes is 1,197 cubic inches.
- The area of one face of the medium box is 49 square inches.
- The volume of the smallest box is 218 cubic inches less than the volume of the medium box.
1. The medium box has the area of one face of 49 square inches, then
is the side length.
The volume of the medium box is
2. The volume of the smallest box is 218 cubic inches less than the volume of the medium box, then the volume of the smallest box is
Ib is the side length, then
The area of one face is
3. The volume of the largest box is
then if c is the side length,
4. The total height of the stack is the sum of all sides lengths:
5. Find the surface area of each box:
In total, Paul needs
of wrapping paper. He has 1,000 square inches, so Paul has enough paper to wrap all 3 boxes.
Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
Answer:
the 3rd one. the rest are randomized.
Step-by-step explanation:
Answer:
Area = 21 unit²
Step-by-step explanation:
We have one point of triangle = (0,0)
The other points can be solved, intersection means
−3x²+20 = x²−16
4x² = 36
x² = 9
x = ±3
when x = 3, y = 3²−16 = 9 -16 = -7 , point is (3,-7)
when x = -3, y = (-3)²−16 = 9 -16 = -7 , point is (-3,-7)
We need to find area of triangle with points (0,0), (3,-7) and (-3,-7).
Area of triangle is given by
Area = 21 unit²
