Which of the following is NOT a Pythagorean triangle?
1 answer:
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Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
- The constant rate of change of the function is; <u>-5.25</u>
- The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>
Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>
Learn more about the constant rate of change of a function here: