A triangle has sides with lengths of 45 feet, 76 feet, and 90 feet. Is it a right triangle?
2 answers:
Answer:
NO
Step-by-step explanation:
Longest side of the triangle has the length = 90 feet
Other two sides are 45 feet and 76 feet
If the triangle is a right triangle then square of the longest side is equal to the sum of squares of the other two sides.
=>
Left Hand Side = = 8100
Right Hand Side =
= 2025 + 5776
= 7801
So the left hand side is not equal to right hand side. The condition for right triangle is NOT satisfied.
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The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em>
- <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
Given
<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is:
<u />
<u>The parent function</u>
We have:
First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:
So, we have:
Next, the function is shifted down by 5 units.
So, we have:
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