answer
(x+7)^2 + (y-4)^2 = 64
set up equation
the equation of a circle is (x - h)^2 + (y - k)^2 = r^2
where h is the center x coordinate and k is the center y coordinate
values
from the point (-7,4) we know that h = -7 and k = 4
since the radius is 8, r^2 = 8^2 = 64
plug in values
now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
(x - (-7))^2 + (y-4)^2 = 64
(x+7)^2 + (y-4)^2 = 64
The shortest distance between 2 concentric circles is the difference of their radii. Thus the answer is 8-2=6
Answer:
Step-by-step explanation:
The diagram of the right angle triangle is shown in the attached photo.
From the given right angle triangle,
AC represents the hypotenuse of the right angle triangle.
With m∠32 as the reference angle,
BC represents the adjacent side of the right angle triangle.
AB represents the opposite side of the right angle triangle.
To determine BC, we would apply
the Sine trigonometric ratio which is expressed as
Sin θ= opposite side/hypotenuse. Therefore, the expression used to find BC is
Sin 32 = BC/9
BC = 9Sin32
The slope of parallel lines is equal and the slope of perpendicular lines is a negative multiplicative inverse of each other.
<h3>What is the standard equation of a line?</h3>
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y-intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
A square is a polygon with four sides, the opposite sides are parallel and all the sides are equal, all the angles have an equal measure of 90 degrees.
Two lines are parallel to each other when they are at a fixed distance always and never intersect with each other.
The slope of the lines parallel to each other is equal.
Two lines are said to be perpendicular when they intersect at 90 degrees.
The slope of two perpendicular lines has a product of -1.
To known more about the standard equation of a line
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