Answer:
Step-by-step explanation:
30+18=30+6y
18=6y
y=3 so the answer is 3
Answer:
A. 99 sq cm
Step-by-step explanation:
Area of geometric shape
= 2 times the area of one triangle with base a and height c
+ 2 times the area of one triangle with base c and height b
+ Area of rectangle with dimensions a and c.
You can use Pythagorean theorem to solve
10 squared + 3 squared = x squared
100+9=x squared
109=x squared
square route 109 and x to get
10.44=x
Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = = 6