Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
=
= = ⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
PEMDAS!!
or an easy way to remember it is Please Excuse My Dear Aunt Sally
which stands for Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction Go in order from p to s from left to right as you would read it
Parentheses first (9-3^2) start with the exponent 3^2=9 then subtract
(9-9)=0 so now we have 2+6(0)-2 Multiply next so 6(0)=0 then we have 2+0-2
next add 2+0=2 then we have 2-2 then subtract 2-2=0 so the overall answer is 0
but you have multiply, added, and subtracted throughout the process
Segment addition postulate
Substitution
Distribution Property of Equality
Simplification, or Adding like terms
Subtraction property
Division Property
Answer:
<em><u>The two main branches of statistics are descriptive statistics and inferential statistics. Both of these are employed in scientific analysis of data and both are equally important for the student of statistics.</u></em>