(-1.5,3) Y=3 which is up 3 and a horizontal line and 2x+y=0 can be written as y=-2x so in order to get -1.5 you have to make y=3 cause y=3 and when you do that it should look like 3/-2=-2/-2x so x=-1.5
1. 9.86* 10 ^13
2. 5.394* 10^13
3. and 4. I don't know those questions are confusing
5. 2.3705* 10^35
6. 5^10
7. 4^13
8. 6^ 36
9. 2.425674* 10^30
10. 1.1556* 10^13
True. If you're just changing the form, yes. But remember when you change one side of an equation, you must change the other in the same way.
x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.
