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.
The two numbers are 5 and 12.
Answer:
3
Step-by-step explanation:
18,049 / 14 = 1289 and 3/14
So the remainder = 3
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-Chetan K
Answer:
If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.
Step-by-step explanation:
We have,
The number of oranges purchased varies directly as the price of the oranges.
If the cost of 11 oranges is $2.35.
It is required to find the cost of 18 oranges.
As their is direct relation between number and oranges and price.
So,
The cost of 1 orange is $
.
For finding the cost of 18 oranges, multiply 18 by $ such that,
So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.
Answer:
<h2><u>111°</u></h2>
Step-by-step explanation:
Hi,
So lets answer this question;
Here we know that:
69° + z = 180° [Straight angle or Supplementary angle]
⇒ z = 180° - 69°
= <u>111°</u>
