Answer:
C
Step-by-step explanation:
swap y and x in the function. that is
we get x=4y+5
<em>S</em><em>o</em><em>l</em><em>v</em><em>e </em><em>for </em><em>y</em>
(x-5)/4=y
Triangle ABC has side lengths 3, 4, and 5. do the side length s form a Pythagorean triangle?
2 answers:
Answer: Yes, the side lengths will form a Pythagorean triple.
Step-by-step explanation: We are given that triangle ABC has side lengths 3, 4 and 5 units.
We are to check whether the side lengths form a Pythagorean triple.
The Pythagorean triple is
<em>Hypotenuse² = Perpendicular² + Base².</em>
Now, for the given triangle ABC, let AB = 3 units, BC = 4 units and CA = 5 units.
Then, we have
Therefore, we get
Thus, the side lengths will form a Pythagorean triple with side CA as the hypotenuse.
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Answer:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative flips the graph.
The graph of compares to
in the following ways:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.