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.
Neither one of the slopes are going to be minus. It means you are travelling backwards in time, which is wonderful if you are a sci-fi fan, but not so good if you are Sharon. A and D has Sharon going from 70 to 0. That can't be happening so both are wrong.
Now you have to decide between B and C. The intersection point has Sharon going upwards until she is 20. She started out at 70. The graph has John starting at 70. That's not right.
So we've eliminated A,D and now C.
The answer must be B. They meet when Sharon is 90 and John is about 22.5 which is what it should be.
Answer:
angle 1 and angle 2 are supplementary angles
Step-by-step explanation:
When the base of the angles forms a straight line, the sum of the angles is 180°. That's the definition of supplementary angles.
Complementary angles form a right angle. The sum of complementary angles is 90°
<em>A slightly silly way to remember Complementary angles: The two angles look at each other and compliment each other saying, "You look all right to me!"</em>
<em>"</em><em>Yes,</em><em> </em><em>we </em><em>are </em><em><u>so </u></em><em><u>right</u></em><em> </em><em>together</em><em>!</em><em>"</em>
<em>:</em><em>)</em>
Answer:
0.6302494097
Step-by-step explanation:
Multiply 0.95, 9 times. Not 0.95×9 though.
<span>6. 9 + 11y – y2 + y3 – 4y4
This expression has 5 terms.
7. </span><span>(2a + 3b) + 4c = 2a + (3b + 4c)
Associative property of addition, because you're moving the parentheses.
</span><span>
8. </span><span>If m = 4 and n = 4, then m = n
Substitution property.
9. </span><span>-9 + 5 – (-2) + 17
-4 - (-2) + 17
-2 + 17
15
10. </span><span>- 35 - (- 13 )
-22
11. -40 + 23 - 19 + 31
-17 - 19 + 21
36 + 21
57
12.</span><span> (-2)³
-2 * -2 * -2
-8
13. - 925
14. </span><span>15(3y – 5)
45y - 75
15. (7 + 6w)6
42 + 36w
16. </span><span>3n+57
17. 9p-63</span>
