I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20
Multiply the outer -2 with the inner x to get -2 times x = -2x
Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20
So overall, -2(x+10) = -2x-20
--------------------------------------------
So that's how we're able to go from this
to this
The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number.
Answer:
B
Step-by-step explanation:
By the definition,
If 
we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,
So,
Answer:
a. 16
Step-by-step explanation:
Triangles = 180 degrees
180 - 80 = 100
100 = (4x - 4) + (0.5x + 32)
4x - 4 + 0.5x + 32 =100
(4x + 0.5x) +(-4 + 32) = 100
4.5x + 28 = 100
4.5x + 28 -28 = 100 - 28
4.5x = 72
4.5x/4.5 = 72/4.5
x = 16
Answer: 1
Scotland
Step-by-step explanation:
In the first vote, points are:
France = 15
England = 12 + 16 = 28
Ireland = 19
2nd vote
England = 15
Scotland = 12 + 19 = 31
Ireland = 16
3rd vote
Scotland = 15 + 16 = 31
Ireland = 12
England = 19
4th vote
Ireland = 15
France = 12 + 16 + 19 = 47
At the end of everything
England = 19 + 15 + 28 = 62
France = 15 + 47 = 62
Scotland = 31 + 31 = 62
Ireland = 19 + 16 + 12 + 15 = 62
To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)
Only Scotland has the highest (31) points twice.
In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
<h3>What is the ship vector about?</h3>
The solution for the Ship's vector are:
Note that the Horizontal aspect = 30 cos 30
= 25.98.
For the Vertical aspect = 30 sin(-30)
= -15.
Hence it will be <25.98, -15>.
In regards to the current's vector:
The Horizontal aspect= 5 sin 20
= 1.71.
The Vertical aspect = 5 cos 20
= 4.7.
Hence it will be <1.71, 4.7>.
Therefore, In the case above, the correct vectors are:
- <25.98, -15>.
- <1.71, 4.7>.
Learn more about vectors from
brainly.com/question/23973576
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