I simply divided by 100 and moved the decimal two places to the left.
Answer:
1). Shifted 2 units right.
2). Shifted 2 units left.
3). Shifted 2 units up.
4). Shifted 2 units down.
Step-by-step explanation:
Parent quadratic function is,
y = x²
1). When curved pit of the parent function is shifted 2 units right,
Translated function will be,
y = (x - 2)²
2). The curved pit is shifted 2 units left,
y = (x + 2)²
3). The curved pit is shifted 2 units up,
y = x² + 2
4). The curved pit is shifted 2 units down,
y = x² - 2
Answer:
12a^9b^7
Step-by-step explanation:
Multiplying variables of the same base, will require you to add the exponents.
4a^3b^2 * 3a^6b^5
4*3 = 12
a^3 * a^6 = a^9
b^2 * b^5 = b^7
12a^9b^7
Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
Answer:
The mass of the pipe is 
Step-by-step explanation:
step 1
Find the volume of the steel pipe
The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe
so
![V=\pi [r2^{2}-r1^{2}]L](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Br2%5E%7B2%7D-r1%5E%7B2%7D%5DL)
we have
---> the radius is half the diameter
---> the radius is half the diameter
substitute
=59.66\ cm^{3}](https://tex.z-dn.net/?f=V%3D%283.14%29%5B1%5E%7B2%7D-0.9%5E%7B2%7D%5D%28100%29%3D59.66%5C%20cm%5E%7B3%7D)
step 2
Find the mass
The mass is equal to the density multiplied by the volume
so
