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
Answer:
y=-15
Step-by-step explanation:
Answer:
1 out of 100
Step-by-step explanation:
99 out of 100 people are NOT left-handed, that means they are right handed. 100-99=1
Answer:
6 cm
Step-by-step explanation:
The volume of a cone = (1/3) πr²h
72π = (1/3) π r² 6
72 = (1/3) r² 6
Divide both sides by 6
12 = (1/3) r²
Multiply both sides by 3
36 = r²
So r (radius) = 6 cm
You can't add the same number to 2 different numbers and get the same answer, so no.
