Completing the squares and comparing to the standard equation, it is found that the diameter of the circle is of units.
<h3>What is the equation of a circle?</h3>
- The equation of a circle of center and radius r is given by:
- The diameter is twice the radius, that is, .
In this problem, the <em>equation </em>is:
Then:
Completing the squares:
Hence:
Hence, the diameter is:
You can learn more about the equation of a circle at brainly.com/question/16505663
Answer: 4x+12
Step-by-step explanation:
The distributive property states that a(b+c) = ab+ac.
Thus, simply do 2*2x+2*6 = 4x+12
Hope it helps <3 :D
Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope
insert given points
((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Answer: I was at the bank today and this elderly lady asked me to check her balence so I pushed her over.
THIS ONE GETS MY DAD EVERY TIME!!!!
Sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)
= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2