Given:
A student says that the graph of the equation 
is the same as the graph of 
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.
Answer:
1.75
Step-by-step explanation:
0.009÷0.004-
=
2.25-0.5=
1.75
Answer:
1. if x + 5 = 12, then x = 7
<u>:Subtraction property of equality</u>
2. If x + y = 20, and y = 5, then x + 5 = 20.
<u>:Substitution property of equality</u>
3. If 2x3 = 11, then 11 = 2x - 3.
<u>:Symmetric property of equality</u>
Step-by-step explanation:
6а – 2а = -48
4a=-48
a=-12
72 is the denominator because 24 multiplied by 3 is 72 and 18 multiplied by 4 is 72
