Which numbers belong to the domain of the relation {(–2, 4), (0, –3), (4, 7), (–2, 5)}?
1 answer:
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We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
- One side is 3 times the second side.
- Third side is 12 feet longer than the second side.
As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
- So let the second side be x
Then,
- First side = 3x
- And, third side = x + 12
We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:
Solving it further,
Subtracting 12 from both sides,
Dividing 5 from both sides,
Then,
- First side = 3x = 12 feet
- Second side = 4 feet
- Third side = x + 12 = 16 feet
And we are done with the answer !!
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Answer:
The number of trees at the begging of the 4-year period was 2560.
Step-by-step explanation:
Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees was, and for the next three years we have that
Start End
Second year --------------
Third year -------------
Fourth year --------------
So the formula to calculate the number of trees in the fourth year is
we know that all of the trees thrived and there were 6250 at the end of 4 year period, then
⇒
Therefore the number of trees at the begging of the 4-year period was 2560.