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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Given <span>20 yards for $30.00, unit rate = $30 / 20 yards = $1.5 per yard
Given 40 yards for $45.00, unit rate = $45 / 40 yards = $1.13 per yard
Given 50 yards for $70.00, unit rate = $70 / 50 yards = $1.4 per yard
Given 65 yards for $85.00, unit rate = $85 / 65 yards = $1.31 per yard
The best deal is the cheapest rate which is 40 yard for $45.00
</span>
Answer:
The solved given expression is

Step-by-step explanation:
Given expression is 
To solve the given expression :







Therefore 
Therefore the solved given expression is

Complete Question
The complete question is shown on the first uploaded image
Answer:
The arc PR is 
Step-by-step explanation:
A descriptive diagram of the diagram given in the question is shown on the first uploaded image
In the circle tangent
, secant
and chord
are drawn
given that
,
The objective is to determine PR
From the diagram we see that MQ is a straight which implies that the the angle


Now looking at triangle NMP we see that
Now the measure of an inscribed angle is half the measure of its arc intercepted, this statement is the inscribed angle theorem
So with the knowledge
Then

Looking at the diagram we see that



