1) slope of the line = derivative of the of the function at the given point.
y' = cosx - x cosx
Evaluate for x = pi => y' = cos(pi) - pi*cos(pi) = -1 - (pi*cos(pi)) = -1 + pi
Then slope = -1 + pi
Given point: (pi, -pi)
Equation:
y - (-pi) = [-1+ pi] (x - pi)
y + pi = -x +pi + xpi -pi^2
y = (pi-1)x - pi^2 .... this is the answer
The answer is C. 14
35/5=7
7•2=14
Answer:
20
You could find 5/⅓
by using 5 × 3
Knowing that:
Any number multiplied by 1, gives the number itself.
Dividing any number by itself gives 1.
Writing 5/⅓ as 5/⅓ × 1 doesn't change the value.
Then I can write 5/⅓ as
5/⅓ × (5×3)/(5×3) = 1
This can become
[5×(5×3)] / [(⅓) × (5×3)]
= 75/(15/3)
= 75/5
= 15
or
12/ 3/5
= [12/ (3/5)] × [(5×3)/(5×3)]
= 12×(5×3) / (3/5)×(5×3)
= (12×5×3) / [(3×5×3)/5]
= 180 / (45/5)
= 180 / 9
= 20
Ok so first plug in y for in the equation 2x-2y=12
Therefore 2x - 2(x -6)=12
Then distribute the two to the x and the -6
2x-2x+12=12
The 2x's cancel leaving you with
12=12
From there you could subtract the 12 from both sides to get 0=0, I assume
Not enough info so neither.
