The standard equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where the center is at point (h,k)
From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be
r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241
Thus, the equation of the circle is
Answer:
-74.069, -74.69, 74.59, 74.6
Step-by-step explanation:
negative numbers are smaller than positives
Answer:
<h2><em><u>
m = 20</u></em></h2><h2><em><u>
a = 48</u></em></h2><h2><em><u>
These are the answers.</u></em></h2>
Step-by-step explanation:
1. m/-8 = -2.5
*-8 = *-8
m = -2.5*-8
m = 2.5*8
<em><u>m = 20</u></em>
2. 7/8a = 42
*8 *8
7a = 336
/7 /7
a = 336/7
<em><u>a = 48</u></em>
<em><u></u></em>
Hope this helped,
Kavitha
Answer:
Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)
Part 2)
Part 3) 
Step-by-step explanation:
we have
In the triangle ABC

Part 1) Which information about the triangle is given?
In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)
see the attached figure to better understand the problem
Part 2) Which formula can you use ti find b?
I can use the law of cosines
we have

substitute the given values


Part 3) What is b, rounded to the nearest tenth?
Remember that
To Round a number
a) Decide which is the last digit to keep
b) Leave it the same if the next digit is less than
(this is called rounding down)
c) But increase it by
if the next digit is
or more (this is called rounding up)
In this problem we have
We want to keep the digit
The next digit is
which is 5 or more, so increase the "5" by 1 to "6"
therefore

Transformational properties allow systematic movement of congruent figures while maintaining or adjusting their orientation.