Answer:
( x^2 - 6 )^2
Step-by-step explanation:
- Find one factor
- Factor by grouping
*solution* ( x^2 - 6 )^2
Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
the 2 angles are congruent so...
x+40=3x set the 2 equations equal to each other
40=2x subtract x from both sides
20=x divide by 2
x=20 is the final answer
Have a blessed day!
Answer:
65%
Step-by-step explanation:
26/40 = 0.65
0.65 X 100 =65
