Answer:
1. positive
2. negative
Step-by-step explanation:
When I was taught how this concept worked, my teacher used a metaphor to help us figure out the sign of a quotient of any positive or negative integer.
He told us that you could imagine the first sign being a good or a bad person, negative sign meaning bad, positive sign meaning good. the second integer in the multiplication would be whether that person (good or bad) was leaving or entering your town.
then, to figure out the sign of the quotient, you just thought about whether that scenario would be a bad thing or a good thing.
I know it probably seems a little confusing, but it helps to see an example.
-9 x 3 = ?
so we'd say that the scenario for that equation would be that a bad person was entering your town. that would be a bad thing, therefore the outcome would be a negative number.
-9 x 3 = -27
lets do the reverse!
5 x -8 = ?
the scenario for this equation would be a good person (the positive number) leaving your town (the negative number). That would generally be considered a bad thing, giving us the answer of a negative number again.
5 x -8 = -40
you can use this technique to answer your questions as well, by thinking through the possible scenarios for a positive-positive equation or a negative-negative equation, then looking at the ones we already went over for the second response question.
This works with all integer multiplication, so i thought id share what helps me!
Answer & Step-by-step explanation:
<em>(5√2 - 4√3)(5√2 - 4√3)</em>
We can rewrite this equation into a more simpler form.
<em>(5√2 - 4√3)²</em>
Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.
When you multiply a radical by itself, then the base number will be by itself as the product.
So......
<em>(5)² = 25</em>
<em>(4)² = 16</em>
<em>(√2)² = 2</em>
<em>(√3)² = 3</em>
So, now the equation looks like this..
<em>(25 * 2) + (16 * 3)</em>
Multiply the terms.
<em>50 + 48</em>
Add the numbers.
<em>50 + 48 = 98</em>
So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.
Answer: D. 21ways.
Step-by-step explanation:
This is based on selection, fixing two '3' numbers into 5numbers to make it 7 numbers can be done in 7C2 ways.
Generally, nCr = n!/(n-r)!r!
7C2 = 7!/(7-2)!2!
=7!/5!2!
=7×6×5!/5!×2!
=7×6/2
=21ways (D)
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary.
<em><1 +< 16 = 180</em>
<em>115+ < 16 = 180</em>
<em>< 16 = 180 - 15</em>
<em>< 16 = 65</em>
<em />
<em>So measurement of angle 16 = 65 degrees.</em>
<em></em>
Answer: idk jus needed the points so im answering
