Answer:
slope = -1
Step-by-step explanation:
parallel lines have the same slope,
y = -x – 4
=> y = -1(x) -4
↑ slope
y = mx + b
↑ slope
Answer:
1. Write the addition of "a", "b" and "c".
2. The equation is: 
Step-by-step explanation:
You know that <em>P</em> represents the perimeter of the triangle and <em>a, b </em>and <em>c </em>represent the sides of the triangle.
By definition, the sum is the result of an addition. Therefore, the statement "The perimeter <em>P</em> of a triangle is equal to the sum of the lengths of sides <em>a, b</em>, and <em>c</em>”, indicates that the perimeter is obtained by adding the lengths of the sides of the triangle.
Knowing this, you can write the following equation:

Answer:
radius = 6
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ←r is the radius
x² + y² = 36 ← is in this form
with r² = 36 ⇒ r =
= 6
Answer: Total amount of money earned last month = $2608.75
Step-by-step explanation:
Miguel earns 2,456.75 every month. This is his constant pay for the month. He also earns an extra 4.75 every time he sells a new gym membership.
Last month, Miguel sold 32 new gym membership. This means that the extra money that he earned for last month will be the number of new gym membership sold times the amount her earns per new gym membership sold. It becomes
32 × 4.75 = 152
Total amount of money earned last month will be sum of his monthly salary + the extra earned. It becomes
2456.75 + 152 = $2608.75
Answer:
4. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Player 1's position is (-3, 5).
It means that it is 3 units left from the origin and 5 units above the origin.
Player 2's position is (3, 5).
It means that it is 3 units right from the origin and 5 units above the origin.
Hence, the two points are on the same horizontal line bisected by the y-axis.
So, Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.