-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.
Answer:
Step-by-step explanation:
The lateral surface area excludes the area of top and bottom faces.
Given is the right pentagonal prism with side length of 7 in and height of 12 in.
<u>The lateral area is:</u>
- L = Ph = 5*7*12 = 420 in²
Correct choice is A
Answer:
see below
Step-by-step explanation:
72pi cubic inches
1/3 pi r ^2 * h = 72 pi
1/3 r^2 h = 72
You can theoretically find infinite answers to this and get enough points for the semester where you don't have to do work anymore. I will list a couple more possible answers below
r = radius, h = height
r = 2, h = 54
r = 3, h = 24
r = 4, h = 27/2
r = √(1/pi), h = 72pi
Answer:
Its going to be associate of science.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Loss is 20%
S.P=Rs60000
C.P=S.P*100/100-loss%
=60000*100/80=Rs75000
So he brought is at Rs75000
Now he wants 12% profit
So
S.P=(100+profit%)/100*C.P
=100+12/100*75000
=112/100*75000=Rs 84000
He will have to sell Rs14000 more to gain profit of 12%
