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.
Answer: 5%
Step-by-step explanation:
Given that:
Ticket price of jacket = $199
Final price after addition of sales tax = $208.95
Percentage sales tax on the jacket =?
Final price after addition of sales tax = price of jacket + amount of sales tax paid
208.95 = 199 + amount of sales tax paid
amount of sales tax paid = 208.95 - 199
amount of sales tax paid = $9.95
Let Percentage of sales tax = x
(x / 100) * 199 = 9.95
199x / 100 = 9.95
199x = 995
x = 5
Hence percent sales tax paid = 5%
Given:
The equation is:

To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then

We have,

Using the distributive property, we get

It can be written as:

Therefore, the next step of the simplification is
.
Answer:
She had a total of 131 before she sold anything
Step-by-step explanation:
Add 58 and 73