Answer:
Step-by-step explanation:
Notice that the red graph is the blue graph shifted 1 units up.
According to the function transformation rules, we add 
to the output of the function to shift its graph units up, and we subtract to the output of the function to shift its graph units down.
The output of our function is 
, and since we want to shift 1 units up, 
. In other words, we just need to add 1 to the output of the function:
We can conclude that the equation of the red graph is .
Answer:
Given
Edge of a cube = 10cm
Length, l = 12.5 cm
Breadth, b = 10cm
Height, h = 8 cm
Find out
We have to find
i) Which box has the greater lateral surface area and by how much?
ii) Which box has the smaller total surface area and by how much?
Solution
(i)
Lateral surface area of a cube = 4 * (edge)2
= 4 * 102 cm2
= 400 cm2
Lateral surface area of a cuboid = 2 (lh + bh)
= 2 (12.5 * 8 + 10 * 8) cm2
= 2 (100 + 80) cm2
= 360 cm2
So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm2 – 360 cm2) which is 40 cm2.
(ii)
Total surface area of a cube = 6 * (edge)2
= 6 * 102 cm2
= 600 cm2
Total surface area of cuboid = 2 (lb + bh + lh)
= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm2
= 2 (125 + 80 + 100) cm2
= 610 cm2
Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm2 – 600 cm2) which is 10 cm2.
Answer:
3x/4 - 17
Step-by-step explanation:
-9a + 11ad - 35a + ad = -44a + 12ad
hope this helps
