Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of
is 
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:



Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
Answer:
Step-by-step explanation:
The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as
Area = length × width
Area of the rectangular room would be
12 × 15 = 180 feet²
The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet
Area if each tile is
4/3 × 4/3 = 16/9 ft²
The number of tiles needed to cover the entire floor is
180/(16/9) = 180 × 9/16
= 101.25
102 tiles would be needed because the tiles must be whole numbers.
Sup Dixie I n d d d d d d did d s s did s s Dad d did d d d did did d d d d d
Answer:
50 each base angle
Base Angle_1 + Base Angle_2 + Vertex = 180
50 + 50 + 80 = 180
180 = 180
Step-by-step explanation:
Sum of interior angles of Triangle is 18- degrees.
2b + vertex = 180
2b + 80 = 180
2b + 80 -80 = 180 - 80
2b = 100
b = 50
Answer:
m∠1 = 100°
Step-by-step explanation: