Answer:
Total paper required to wrap the gift without any overlaps:
Step-by-step explanation:
Here, we need to find the total paper required without any sides overlapping to wrap the gift.
The gift is of <em>cuboid </em>type.
Given the following:
<em>Length </em>= 15 cm
<em>Width </em>= 30 cm
<em>Height </em>= 20 cm
Please refer to the attached figure.
We can infer that to find the paper required, we actually need to the find the<em> total surface area of the cuboid</em>.
Because the gift wrap will be done <em>on the faces of gift</em> (which is of cuboid shape).
Formula for Surface Area of <em>Cuboid:</em>
Hence, total paper required to wrap the gift without any overlaps:
Answer:
Vertex: (-1,-1)
Minimum
Step-by-step explanation:
y = 2x² + 4x + 1
y = 2(x² + 2x + 1 - 1) + 1
y = 2(x + 1)² - 2 + 1
y = 2(x + 1)² - 1
Vertex: (-1,-1)
Minimum
The answer is C, because it makes sense.
2(7-2)>8
10>8
(8/9)^2= 8/9 * 8/9
8*8=64
9*9=81
Final answer: 64/81
Answer:
A
Step-by-step explanation:
To move something up or down, it means we're moving along the y-axis. So we need to change the y-coordinate.
To move it up, we'll be moving towards the positive end of the y-axis. On a coordinate plane, if you move anything "up," you're moving closer to the positive end of the y-axis.
To move it five units up, we need to move 5 units positively.
So our y is:
y + 5
To move something left or right, it means we're moving it along the x-axis. So we need to change the x-coordinate.
To move it left, we'll be moving it towards the negative end of the x-axis. Think about it: on a basic number line (which is what the x-axis is), the more you move towards the left, you move closer to 0, and therefore the negative end.
To move it 2 units left, we need to move 2 units negatively.
So our x is:
x - 2
Putting them together, we have:
(x, y)
(x - 2, y + 5)