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:
x=-12
Step-by-step explanation:
32+2x=6+x+14
2x-x=6+14-32
x=-12
ST=6
TU=-12+14=2
SU=6+2=8
Answer:
D:315
Step-by-step explanation:
6x7 and then divide by 2 = 21+21 =42 13x7= 91x3= 273+ 42= 315
Answer:
Sarah has a blank ton of money!
Step-by-step explanation:
More than me
32a) the same six numbers are reported in the same order but at different starting points
b) All have sum of 999
c) yes, it is the same. 5/13=0.384615
384+615=999
