Answer:
Angle 50 and common side, in triangle MNT the sum of angles m and t is 130. In triangle PMN the sum of angles n, m is 130
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
there could be no red cards inside
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
Take a common point ( C in this case)
1. Take the difference of the y coordinates from the point vertical to C.
C from D in this case.
2.Take the diff of the x coordinates from the points horizontal to the first.
C from B in this case.
3. Now add the diff to the common point. X to x Y to y.
