Answer:
about 32.71 feet
Step-by-step explanation:
see attached picture
Answer:
The short side is 5ft and the longer side 12ft
Step-by-step explanation:
I knew that the hypotenuse was 13 so it couldn’t be more than 13. I was guessing at numbers until I got to 5 then added 7. After I use Pythagorean theorem to check and I got 13.
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 answer would be scholarship, because that does not need to repaid, it is a gift or reward for hard work and good grades.
Answer: D
Step-by-step explanation: get the variable by itself on one side of the inequality sign.