Answer:
C
Step-by-step explanation:
find the equation of the segment two point (-5,5) and (-2,-4)
m=y2-y1/x2-x1 =5-(-4)/-5-(-2) =9/-3 = -3
find b : y= -3x+b
5 =-3(-5) +b
b=-10
the equation is : y=-3x-10
the perpendicular line is y=1/3 x -2/3
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.
To find the area of community pool we will use area of pentagon formula.
, where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.
Let us find the perimeter of our given pentagon by multiplying each side length by 5.

Now let us find apothem of our pentagon by using Pythagoras theorem.





Upon substituting our given values in above formula we will get,



Therefore, the area of the pool that needs to be covered is 960.42 square feet.
Hi there
Payment per year
1,000×12months=12,000
total payment over the lifetime of the loan.
12,000×10years=120,000
Hope it helps
Answer:
An equation in standard form for the line is:

Step-by-step explanation:
Given the points
The slope between two points




Writing the equation in point-slope form
As the point-slope form of the line equation is defined by

Putting the point (-2, -1) and the slope m=1 in the line equation



Writing the equation in the standard form form
As we know that the equation in the standard form is

where x and y are variables and A, B and C are constants
so


Therefore, an equation in standard form for the line is:

So make and angle with the measure of 45 degrees. And then label it DOG. It doesn't matter where you start labeling as long as O is your midpoint. :)