gb1falcon

The largest that can be made is a 225 by 225 square, which has area \(225^2 \space units^2\). Try to multiply 225*225 on your own.

\(\sqrt{27}=3\sqrt{3}\)

\(\sqrt{12}=2\sqrt{3}\)

\(\sqrt{147}=7\sqrt{3}\)

\(\sqrt{27}\cdot\sqrt{12}\cdot\sqrt{147}=3\cdot2\cdot7\cdot\sqrt{3}^3\)

\(42\cdot3\cdot\sqrt{3}\)

\(126\sqrt{3}\)

The first one: separate y in both of them to set the equations equal.

y=-1-x

y=4/3-x

Then

4/3-x=-1-x

4/3=-1

Since that is not true, there are no solutions to the first system of equations.

The second one:

3x+2=4y

3x/4+1/2=y

20y=10+15x

y=1/2+3x/4

Then

3x/4+1/2=3x/4+1/2

So, since that is true for all x, any (x,y) that matches the first equation matches the second one as well.

Since (2x+10)=2(x+5), the equation simplifies to 2^4(x+5)^2(x+5)^2=16(x+5)^8.

They pay $11 for parking, so they have $195 left to spend on parking.

The equation is 16.25*x<=195

Divide by 16.25 to get x<=12

So 12 is the number or people who can go to the amusement park.

The z is a variable. A variable is usually a letter, used in some equation to represent an unknown number. The number makes the given equation true. In this case it is 51.

Simplify each side: 4x+2=7-6x

Shift 6x: 10x+2=7

Shift 2: 10x=5

Divide by 10: x=1/2.

There are two such points. One is (-3,1), using the previous answerer's reasoning. The other is (2,5). However, (2,5) may divide it into a ratio of 1 to 2, so the first one is probably correct.

The expression simplifies as such:

6!(1+7)

6!*8

6*5*4*3*2*1*8

3*2*5*2*2*3*2*8

2*2*2*2*2*2*2*3*3*5

2^7*3^2*5

2^6*3^2*15

\(2^3\cdot3\sqrt{15}\)

Try to finish it yourself.