Answer:
Pythagorean triplet are the values of hypotenuse, base and perpendicular which tend to represent a right-angled triangle. Integral solutions to the Pythagorean Theorem, a2+b2=c2 are called Pythagorean triplet which contains three positive integers a,b,c where a<b<c.
Tim spends 500 minutes at the school.
Step-by-step explanation:
Given,
Time for lunch = 45 minutes
Time for study hall = 45 minutes
Total = 45+45 = 90 minutes
This represents 18% of the total minutes Tim spend at school.
Let,
x be the total minutes Tim spend at school.
18% of x = 90 minutes
Dividing both sides by 0.18
Tim spends 500 minutes at the school.
Keywords: percentage, division
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The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
Explanation:
The parent function of the graph is
The transformation for the parent function is given by
Thus, the transformed function is in the form of
where a is the vertical compression/stretch,
h moves graph to left or right and
k moves the graph up or down.
Thus, from the transformed function , we have,
The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.
Hence, The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.