Yvette earns $3 for every 1/4 hour she works. what is her hourly rate of pay
1 answer:
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Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently
Answer:
Coordinates of point B are (10,-4)
Coordinates of point D are (3.6,-0.4)
Step-by-step explanation:
1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____
Let the coordinates of B be
Coordinates of A =
Coordinates of C=(x,y)=(3.6,-0.4)
We will use section formula over here
m:n=3:2
Coordinates of B = (10,-4)
2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____
(fraction)
Let the coordinates of D be
Coordinates of A =
Coordinates of B=
We will use section formula over here
m:n=3:2
Coordinates of point B are (10,-4)
Coordinates of point D are (3.6,-0.4)