Answer:
17 is the length of the hypotenuse.
Step-by-step explanation:
The pythagora theorem tells us a²+b²=c², where C is hypotenuse.
Replace the given info into the formula:
8² + x² = (x+2)²
64 + x² = x² + 4x + 4
64 - 4 = 4x
60 = 4x
x = 60/4
x = 15
Hypotenuse length is 15+2=17
6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x + 5)(2x - 3)
Therefore, the other factor is 3x + 5.
Answer:
Cost of 12 pencils = 37 4/5 = 189/5
Cost of 1 pencil = 189/5 ÷ 12
= 189/5 x 1/12 = 189/60 = 63/20 = 3 3/20
So required answer is 3 3/20
Hope This Helps You!
A function is a law that tells you how to associate inputs (x values) and outputs (y values).
In the case of constant functions, it doesn't matter which input you choose, the ouput must always be the same.
So, a constant function has always the same output (y values) for every input (x values) you feed.