12x1
12x2
12x3
12x4
12x5
12x6
12x7
12x8
12x9
12x10
Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
1. Move the negative sign to the left.
- 
*-50
2. Use this rule: 
=
-
3. Simplify - 
4. Move the negative sign to the left.
-(-950x/8)
5. Simplify 950x/8 to 475x/4
6. Remove parentheses.
when a=4 and b=3,
3.14((4 x 2)+ (4 x 3)) = 3.14(8+12) = 3.14 x 20 = 62.8
When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
1) Square all 3 sides.
4, 3, 4,
16, 9, 16
2) Sum the squares of the 2 shortest sides.
16 + 9 = 25
3) Compare this sum to the square of the 3rd side.
25 > 16
if sum > 3rd side² Acute Triangle
So, it is an acute triangle.
Source:
http://www.1728.org/triantest.htm
