Answer:
see explanation
Step-by-step explanation:
(i)
+ 
= 1 ( multiply through by 6 to clear the fractions )
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide through by 3 )
y = - 
x + 2
(ii)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
y = - x + 2 ← is in slope- intercept form ( that is part (i)
with gradient m = -
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer:
y =5x
Step-by-step explanation:
(5 - 0) = m(1 - 0)
5 = m(1)
5 = m
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x -5 + 5
y = 5x
The greatest possible side length is 24 square piece
Answer:
Solve for K by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
k > 1
<u>Interval Notation</u>:
(1, ∞)
Step-by-step explanation:
