Answer:
(a)
Step-by-step explanation:
The tangent and the normal at point P are perpendicular.
Given
= 3, then
Given the gradient m of the tangent then the gradient of a line perpendicular to it is
= -
= -
→ (a)
Answer:
100-3x
Step-by-step explanation:
Well he has $100 and if each day he spends $3 we get the equation 100-3x giving us an expression we can use to calculate for any given day.
Answer:
(-infinity,1]
Step-by-step explanation:
set builder notation would be {x|x<=1}
Area of ABC : AB*AC/2
the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)
C is the second root (x-intersect), which we can find :
determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=

Hence the area of the triangle is

hence

.
We remark that

Hence 4+C=16 thus
C=12