C = 169
square is (x + 13)^2
Explanation:
In the form:
ax^2+ bx +c
to complete the square a = 1 is required.
c = (b/2)^2
the square term is b/2
x^2 + 26x + c
a = 1 so we are okay to complete the square.
b = 26
c = (26/2)^2 = 13^2 = 169
finally to complete the square:
x^2 + 26x + 169 = (x+b/2)^2 = (x+13)^2
Answer:
y = -6
Step-by-step explanation:
On the coordinate plane, the vertical axis (up and down) is the y-axis and the horizontal axis (side to side) is the x-axis. However, when there is a horizontal line on the graph, it represents a value of y that is true for any value of 'x'. In the same respect, a vertical line is a value of x that is true for any value of 'y'. In the case of the point (5, -6), a horizontal line would have to be y = -6 in order to pass through the point and cross the coordinate plane from left to right.
Answer:
20 sin³O. cos²O - 5sin⁵O
Step-by-step explanation:
y = sin⁵O
Using the Chain Rule
dy/dO = 5 sin⁴O cosO
Using the Product / Chain rules:
d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O
= 20 sin³O. cos²O - 5sin⁵O
Answer:
a= 1/2b
Step-by-step explanation:
a+b=3a
a=3a-b
a-3a= - b
- 2a= - b
a=1/2b