Answer:
Your answer would be
.
Step-by-step explanation:
The formula for the equation of a circle is
, where (h, k) is the center of the circle, and r is the radius. Since the center is (-1, 3), the left half of the equation is
. Now, all we have to do now is find the radius, r. To do that, you can use the distance formula to find the distance between the center (-1, 3) and a point that passes through the circle, or is on the circumference, (-4, -2). When you calculate that, you will get
, so the radius is
. But, we want the radius squared, which is 34. So, the final answer is what I wrote above.
Hope that helped! :)
The answer to the equation is b -16
Answer:
x=5 and y=7
Step-by-step explanation:
The opposite parallel sides of any rhombus are going to be equal.
a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.
b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.
a.) x+14 = 5x-2
b.) 3y-3 = 2y+4
Answer:
See answers below
Step-by-step explanation:
Perimeter of a square = 4L
L sis the side length of the square
L = 5x^4y^2
perimeter = 4(5x^4y^2)
perimeter = 20x^4y^2
2) Length = 6x-10
Width = 4x+3
Area of rectangle = Length * Width
Area of rectangle = (6x-10)(4x+3)
Area of rectangle = 24x^2+18x-40x-30
Area of rectangle= 24x^2-22x-30
perimeter = 2(L+W)
perimeter 2(6x-10+4x+3)
perimeter = 2(10x-7)
perimeter = 20x-14
Hence the perimeter of the rectangle is 20x-14