Answer:
Find the length of one side of the pentagon. Explanation: A regular pentagon must have five equivalent sides and five equivalent interior angles. Regular pentagons can be divided up into five equivalent interior triangles, where the base of the triangle is a side length and the height of the triangle is the apothem.
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
The formula of a slope:
We have two points (-5, -1) and (6, -5). Substitute:
Put the value of a slope and coordinates of a point to the equation of a line:
Answer:
Step-by-step explanation:
x -12 > 0
x > 12
if x > 12 x-12
if x = 12 0
if x < 12 12-x
Answer:
- Over the real numbers there are no numbers to add to -2 and multiply to 3
- Over the complex set of numbers, the numbers that add to -2 and multiply to 3 are
Step-by-step explanation:
Let and be the numbers.
We know that they add to -2, so equation (1).
We know that they multiply to 3, so equation (2).
To find our numbers, let's solve our system of equations step-by-step:
Step 1. Solve for in equation (1):
equation (3)
Step 2. Replace equation (3) in equation (2) and solve for :
Using the quadratic formula with a=-1, b=-2, and c=-3 we get that
equation (4)
equation (5)
As you can see, the system of equation doesn't have a solution over the reals, but if you need a complex answer, let's keep on.
Step 4. Replace equations (4) and (5) in equation (3) and solve for :
- For
- For
The solutions of our system of equations are:
First we need to change a decline of 8.6% to a decimal, which is 0.914 (100% - 8.6%). With an initial value of 1500 we get: