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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
There isn't a picture to help you with.
That’s 125 times 9!!! which is 1125!!!
The expression shown below is a difference of two squares.
<h3>Is a given expression a perfect square trinomial or a difference of two squares?</h3>
In this problem we have an algebraic expression that has to be checked by algebraic procedures. The complete procedure is shown below:
(x² + 8 · x + 16) · (x² - 8 · x + 16) Given
(x + 4)² · (x - 4)² Perfect square trinomial
[(x + 4) · (x - 4)] · [(x + 4) · (x - 4)] Definition of power / Associative and commutative property
(x² - 16)² Difference of squares / Definition of power / Result
The expression shown below is a difference of two squares.
To learn more on differences of squares: brainly.com/question/11801811
#SPJ1
X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
