Answer:
1 . 16
2 . 4
3 . 64
4 . -4
The fourth one goes first and then the second one and then the first one and then the third one.
Answer:
centre = (2, - 3 ) and radius = 5
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 + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r =
= 5
Answer: 1728ft^2
The scale of the blueprint is <span>1in=6ft and the area of the stage is 48in^2. To convert the area, you just need to find the scale with inch^2. The equation would be:
</span>1 inch=6ft <span>
inch^2= x ft^2
(6ft)^2= x ft^2
36ft^2= x ft^2
x=36
1 inch^2 =36 ft^2
area of the actual stage= 48 inch^2 * (36 ft^2/inch^2)= 1728ft^2</span>
Answer:
C
Step-by-step explanation:
Cuz I said so