Answer:
see below
Step-by-step explanation:
Question 1: D
Question 2: A
Question 3: B
Question 4: B
Question 5: C
Question 6: D
Question 7: A
Question 8: D
Answer:
y = 66x + 340
Step-by-step explanation:
The question asks to give the slope-intercept equation of a line with the slope given and it passes through a given line.
Generally, the equation of a line is given by:
y = mx + c, where m is the slope and c is the intercept. We have the slope given but we do not have the intercept. Hence, the first thing we do is to find the value of the intercept. We calculate that as follows:
since the line passes through a point, we substitute the values of the ordinate and the abscissa in the general equation of the line.
This means; 10 = 66(-5) + C
C = 10 + 330 = 340
Hence, the general equation of the line is;
y = 66x + 340
1. You have the following equation:
2. First, you must apply the Distributive property:
3. Simplify:
3. Add the like terms:
4. Solve for 
:
Therefore, the answer is: 
Since the pentagon is regular, the sides are all of equal length. This tells you
... 5x-27 = 2x-6
... 3x = 21 . . . . . . . add 27-2x
... x = 7
The length of a side can be found by subtituting this value into either expression.
... 2·7-6 = 8 . . . . inches
