Answer:
Lit
Step-by-step explanation:
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
For this case we must find the inverse of the following function:
For this, we follow the steps below:
We change f (x) to y:
We exchange the variables:
We solve for y:
We divide between 8 on both sides of the equation:
We raise both sides of the equation to the square to remove the root:
So, the inverse is:
ANswer:
Option C
Answer:
D. 29.75
Step-by-step explanation:
To determine the mean, you must add up all the numbers and then divide that number by how many numbers you added.
Here,
21 + 23 + 35 + 40
= 119
You added 4 numbers (21, 23, 35, 40),
so, 119 / 4
= 29.75
Hope this helps and a thank won't hurt! :)
