In the equilateral triangle xyz, x is located at (-5, -9) and z is located at (1, -17). what is the perimeter of triangle xyz? a 30 units b 10 units c 25 units d 5 units

Option a. 30 units

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides

so

XY=YZ=XZ

The perimeter of triangle XYZ is equal to

Find the distance XZ

the formula to calculate the distance between two points is equal to

we have

X is located at (-5, -9) and Z is located at (1, -17)

substitute the values in the formula

Find the perimeter

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,