Answer:
Step-by-step explanation:
g = 3y -9
start by adding 9 to each side:
g + 9 = 3y
now divide by 3 on each side to get y alone:
hope this helps!
I think its 210 because there are 7 letters and 3 vowels so the permutation would be 7 P 3.
Step-by-step explanation:
5(m+3)=5m+15
5m+15=5m+15
m=1
I will explain you and pair two of the equations as an example to you. Then, you must pair the others.
1) Two circles are concentric if they have the same center and different radii.
2) The equation of a circle with center xc, yc, and radius r is:
(x - xc)^2 + (y - yc)^2 = r^2.
So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.
3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.
Example:
Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0
rearrange: 3x^2 + 12x + 3y^2 - 6y = 21
extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7
=> (x^2 + 4x) + (y^2 - 2y) = 7
complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7
=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.
equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0
rearrange: 4x^2 + 16x + 4y^2 - 8y = 308
common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77
=> (x^2 + 4x) + (y^2 - 2y) = 77
complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 77
=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82
Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
Answer:
<h2>52500 kg</h2>
Step-by-step explanation:
Step one:
given data
mass of harvested peanuts = 14,000kg
size of land = 8-acre
Step two:
Required:
mass of harvested peanuts for a 30-acre land
let the mass be x
so, for 8-acre land the harvested mass is 14,000
hence for 30-acre land the harvested mass is x
cross multiply we have
8x=14,000*30
divide both sides by 8
x=420000/8
x=52500 kg
