Answer:
centre = (- 3, - 2) , radius = 1
Step-by-step explanation:
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 is the radius
Given
x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
Answer:
18.28 m
Step-by-step explanation:
Given the flower garden in the question :
The shape is composite and can be divided into 2 semicirles and rectangle
The perimeter of a semicircle is the Circumference of the semicircle = πr
Hence, 2 semicirles = 2πr
Radius of semicircle = 2/2 = 1
Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m
The perimeter of rectangle; length and width are 6m and 2 m respectively :
Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m
Tve perimeter of garden = 6.28 + 12 = 18.28 m
Base×hight×width you are just doing 3/4×3/4×3/4 and what ever your answer is put a little 3 above it so it almost looks like an exponent. Pretend that ABC is the answer it would look like this format = ABCinches3 but the three is tiny
Answer:
1. 57 2. 81
Step-by-step explanation:
71x2=142 256-142=114/2= 57
5103/63= 81
To do this question you need to multiply base times height. So it would be 24*17. After that, you should get 408 square feet.