Start from the parent function
In the first case, you are computing
In the second case, you are computing
, you translate the function horizontally, units left if and units right if .
On the other hand, when you transform , you translate the function vertically, units up if and units down if .
So, the first function is the "original" parabola , translated units right and units up. Likewise, the second function is the "original" parabola , translated units left and units down.
So, the transformation from to is: go units to the left and units down
Answer:
Therefore the mass of the of the oil is 409.59 kg.
Step-by-step explanation:
Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).
The area of the disk
=The area of the outer circle - The area of the inner circle
=
Since (Δr)² is very small, So it is ignorable.
∴
The density
We know,
Mass= Area× density
Total mass
Therefore
= 409.59 kg (approx)
Therefore the mass of the of the oil is 409.59 kg.
9 decimeters. deci = 0.1
9 *0.1 meters.
0.9 meters
9 decimeters = 0.9 meters.
Answer:
Length = 16 feet.
Width = 7 feet
Height = 8 feet
Volume = 896 cubic feet.
Step-by-step explanation:
There is a rectangular prism boiler room. 112 square feet is the floor area of the room.
Let the length of the room is L feet and width is W feet.
So, LW = 112 ...... (1)
Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get
(2 + 2W)W = 112
⇒ 2w + 2w² = 112
⇒ W² + W - 56 = 0
⇒ (W +8)(W - 7) = 0
⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}
Hence, from equation (2) we get L = 2W + 2 = 16 feet.
Now, 1 foot more than the width is the height H.
Hence, H = 7 + 1 = 8 feet.
Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)
<span>if you multiply 1/8 by 4, the fraction become 4/32, and if you multiply 1/4 by 8 you get 8/32.Since both fractions have the same denominator, we can find which fraction has the greater value. Since 1/4(8/32) has a greater numerator, the 1 pound of lead will have a larger value.</span>