Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ±
= ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Step-by-step explanation:
area of a circle
A = pi x r^2
r=9
Answer:
(3, 2) is the ordered pair for the given system of equations.
Step-by-step explanation:
Given:
2 x+ y = 8.......................(i)
y = - x + 5........................(ii)
<u>Put y = - x + 5 in equation (i)-</u>
<em>2 x + ( - x+ 5) = 8</em>
<em>2 x - x + 5 = 8</em>
<em>x = 8 - 5</em>
<em>x = 3</em>
<u>Now put x = 3 in equation (ii)-</u>
<em>y = - 3 + 5</em>
<em>y = 2</em>
Hence the (3, 2) is the correct ordered pair.
Answer:
6
Step-by-step explanation:
to get cups to servings multiply by 3
if you need 18 servings then divide by 3
To determine how much will it take to clean a 120ft driveway considering that it took him 2hs to clear 10ft and that the cleaning rate is constant, you can use cross multiplication:
10ft______2hs
120ft_____xhs
If the cleaning rate is the same, then the ratios between both are the same:

From this expression, you can determine the time by multiplying both sides of the equal sign by 120

It will take him 24 hours to clear the 120ft driveway.