Answer: second option
Step-by-step explanation:
To find the inverse function of the given function f(x):

You need to:
Substitute
into the function:

Now, you need to solve for "x", to do this, you must divide both sides of the function by 2:

Now, replace "x" with "y" and replace "y" with "x":

Therefore, substituting
you get:
or 

Step-by-step explanation:
Let's rewrite the given equation such that only y is on the left side and everything else on the right side:

Simplifying this by dividing by 6, we get

This line has a slope of -1/2, which means that a line perpendicular to this has a slope of 2 (i.e., negative reciprocal). So we can write its equation as

This is the slope-intercept form of the equation of the line perpendicular to our given line. To complete this form, we need to find the value of b. Since this line passes through (1, -7), put these numbers into our equation to get

Therefore, the slope-intercept form of the equation can be written as

Answer:
a) <u>∡ADC = 270°</u>
b) <u>∠DAE = 38°</u>
Step-by-step explanation:
Using Inscribed Angle Theorem :
- ∡ADC = 2 x ∠ABC
- ∡ADC = 2 x 135°
- <u>∡ADC = 270°</u>
Similarly :
- ∠DAE = 1/2 x ∡DE
- ∠DAE = 1/2 x 76°
- <u>∠DAE = 38°</u>
Answer:

Step-by-step explanation:
Area of a circle = 
However, the question wants to use 3.14 instead of
.
Since the radius is given, which is 18 feet, we can plug and chug.

However, the question wants us to round it to the nearest tenth.
Therefore, the answer is 
Answer:
Step-by-step explanation:
let the first piece=x ft
second piece=2 x ft.
third piece=6 x ft.
x+2x+6x=180
9 x=180
x=20
first piece=20 ft.