Answer:
The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)
Step-by-step explanation:
Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).
<h3>
Answer: B) no solutions</h3>
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Explanation:
Let's isolate the variable y in the first equation
-2x - y = 1
-2x = 1 + y
1+y = -2x
y = -2x-1
Then we'll plug this into the second equation
-4x - 2y = -1
-4x - 2(-2x-1) = -1
-4x + 4x + 2 = -1
0x + 2 = -1
0 + 2 = -1
2 = -1
We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.
Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.
Answer:
5/-6
Step-by-step explanation
use rise/run to get 4-(-1)/-5-1 to get 5/-6
Step-by-step explanation:
From the given table it is obvious that 162 is the largest number of the given numbers which corresponds to 45° angle.
So, he should kick the football at 45° angle for maximum distance.
