You would substitute 0.8 in for y and to get the equation 4x+8(0.8)=40. Then, you would simplify and get 4x+6.4=40. Next you would isolate x by subtracting 6.4 from both sides and get the equation 4x=33.6 and then you would divide both sides by 4 to get x=8.4.
The answer is : x=8.4
Answer:
9.8 cm
Step-by-step explanation:
Volume of a cylinder can be gotten with this formula
V=πr2h
h = height of the oil.
We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now
h° =( h) - (0.1)
Then the new volume can be calculated as
V°= V - (3×10^-3)
But
volume= (π r2h°)
Then substitute we have
πr2h - 0.003 = π r2 (h-0.1)
If we open the bracket we have
0.003 = (πr2 ×0.1)
πr2=0.003/0.1
Then r=√ (0.03/0.1π)
=9.8 cm
Note that 1L = 10-3 m3
What you do is get into the form
(x-h)^2+(y-k)^2=r^2
(h,k) is center
r=radis
complete the square with x and y
x^2+y^2-2x+4y-11=0
group x and y terms together
(x^2-2x)+(y^2+4y)-11=0
take 1/2 of linear coefieicnt and add postive and negative
for x^2-2x, -2/2=-1, (-1)^2=1
for y^2+4y, 4/2=2, 2^2=4
(x^2-2x+1-1)+(y^2+4y+4-4)-11=0
complete the square
(x-1)^2-1+(y+2)^2-4-11=0
add like terms
(x-1)^2+(y+2)^2-16=0
add 16 both side
(x-1)^2+(y+2)^2=16
(x-(1))^2+(y-(-2))^2=4^2
(x-h)^2+(y-k)^2=r^2
(h,k)
(1,-2)
r=4
center is (1,-2)
radius is 4 units
Answer:
A. (2,0)
Step-by-step explanation:
If you graph both of these equations, the two lines will intercept at point (2,0)
Answer:
Step-by-step explanation:
x + 3y = - 28
y = -5x
x + 3(-5x) = -28
x -15x = -28
-14x=-28
x=2
y = -5(2)
y=-10