A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
z^2-8z=0
z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
Therefore the shortest side is equal to 8
Answer:
$120
Step-by-step explanation:
y = mx + b
The $100 sign up fee is a set amount, or the b value.
The $20 would be the m value since it the constant change, or the slope.
Thus, the equation would be y=20x + 100
The membership fee for 1 month would be --->
y= 20(1) +100
y= 20 + 100
y= $120
Domain: (-infinity, infinity)
Range: (-infinity, infinity)
Asymptote: none
Answer:
f(5) = 26.672 which is option D
Step-by-step explanation:
From question, f(1) = 2 and f'(x)=√(x^3 + 6)
f(5) = f(1) + (5,1)∫ f'(x) dx
Integrating using the boundary 5 and 1;
f(5) = 2 + (5,1)∫√(x^3 + 6) dx
f(5) = 2 + 24.672
So f(5) = 26.672
Answer:
1.3x
Step-by-step explanation:
X=1
1+0.3=1.3 (don't forget to add 'X')
So, the answer is 1.3x
hope this helps!
