<span><span>(<span>6−d</span>)</span><span>(<span><span><span>d^2</span>−5</span>+<span>3d</span></span>)</span></span><span>=<span><span>(<span>6+<span>−d</span></span>)</span><span>(<span><span><span>d^2</span>+<span>−5</span></span>+<span>3d</span></span>)</span></span></span><span>=<span><span><span><span><span><span><span>(6)</span><span>(<span>d^2</span>)</span></span>+<span><span>(6)</span><span>(<span>−5</span>)</span></span></span>+<span><span>(6)</span><span>(<span>3d</span>)</span></span></span>+<span><span>(<span>−d</span>)</span><span>(<span>d^2</span>)</span></span></span>+<span><span>(<span>−d</span>)</span><span>(<span>−5</span>)</span></span></span>+<span><span>(<span>−d</span>)</span><span>(<span>3d</span>)</span></span></span></span><span>=<span><span><span><span><span><span>6<span>d^2</span></span>−30</span>+<span>18d</span></span>−<span>d^3</span></span>+<span>5d</span></span>−<span>3<span>d^2</span></span></span></span><span>
=<span><span><span><span> −<span>d3^</span></span>+<span>3<span>d^2</span></span></span>+<span>23d</span></span>−<span>30</span></span></span>
<span>
</span>
To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number. Then count the number of place values to the right of this. That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.
The answer is 3.31 x 10^26 light years. ^ means to the power of.
4x + 3y = 6
-2(2x + 2y= 5) multiply by -2 to cancel the x and solve for y
4x + 3y = 6
-4x -4y = -10
subtract 3y-4y= -y and 6-10= -4
-y = -4. divide by -1 to both sides
y = 4
substitute y for 4
4x + 3(4)= 6
4x + 12 = 6 subtract 12 (both sides)
4x = -6
x = -6/4= -3/2 (reduced to simplest form
(-3/2, 4)
-2x - 4y = 1
<u>12y</u> = <u>-6x - 3</u>
12 12
y = -0.5x - 0.25
-2x - 4(-0.5x - 0.25) = 1
-2x + 2x + 1 = 1
0x + 1 = 1
<u> - 1 - 1</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
-2(0) - 4y = 1
0 - 4y = 1
<u>-4y</u> = <u>1</u>
-4 -4
y = -0.25
(x, y) = (0,-0.25)
