One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Answer:
y = -1/3x + 1/3
Step-by-step explanation:
x+3y=2
3y = 2 - x
y = 2/3 - 1/3x
y = -1/3x +2/3
the slope is -1/3 and the equation that is parallel will have the same slope also
y = mx + b
y = -1/3x + b
0 = -1/3(1) + b
0 = -1/3 + b
1/3 = b
y = -1/3x + 1/3
<em>(</em><em>2</em><em>7</em><em>)</em><em>^</em><em>3</em><em>+</em><em>(</em><em>-</em><em>1</em><em>5</em><em>)</em><em>+</em><em>(</em><em>1</em><em>2</em><em>)</em><em>^</em><em>3</em>
<em>=</em><em> </em><em>2</em><em>7</em><em>×</em><em>2</em><em>7</em><em>×</em><em>2</em><em>7</em><em>-</em><em>1</em><em>5</em><em>+</em><em>1</em><em>2</em><em>×</em><em>1</em><em>2</em><em>×</em><em>1</em><em>2</em>
= <em>1</em><em>9</em><em>6</em><em>8</em><em>3</em><em>-</em><em>1</em><em>5</em><em>+</em><em>1</em><em>7</em><em>2</em><em>8</em>
<em>=</em><em> </em><em>2</em><em>1</em><em>3</em><em>9</em><em>6</em><em> </em><em> </em><em>answer</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
q = 8/5r or q = 1.6r
Step-by-step explanation:
-7q + 12r = 3q - 4r
+7q +7q
12r = 10q - 4r
+4r +4r
16r = 10q
/10 /10
16/10 = 8/5 8/5 = 1.6
<u>q = 8/5r</u> or <u>q = 1.6r</u>
