Line g is dilated by a scale factor of 2 from the origin to create line g’. Where are the points E’ and F’ located after the dil
ation, and how are lines g and g’ related.
2 answers:
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Answer:
The answer is and
Step-by-step explanation:
Given:
-4x-2y=14
-10x+7y=-24
Now, to solve it by elimination:
......(1)
......(2)
So, we multiply the equation (1) by 7 we get:
And, we multiply the equation (2) by 2 we get:
Now, adding both the new equations:
<em>Dividing both the sides by -8 we get:</em>
Now, putting the value of in equation (1):
<em>Subtracting both sides by 25 we get:</em>
<em>Dividing both sides by -2 we get:</em>
Therefore, the answer is and
Answer:
Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.
Step-by-step explanation:
Let the length of the silk fiber = x yards.
Let the number of silk fibres = a.
It is given that the silk fibers between 3 to 10 yards are combined to form a silk thread of 300 yards.
So, we get the equation,
, where
i.e. ,
So, the possible values of 'a' are 3, 4, 5, 6 an 10.
Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.