Answer:
(0.5, 1)
Step-by-step explanation:
The midpoint formula says that the midpoint between two points (a, b) and (c, d) is:
Here, a = -1, b = 5, c = 2, and d = -3, so the midpoint is:
The answer is thus (0.5, 1).
We start with the polynomial
3x^4 + 12x^3 +27x
Now we search for the common term, in this case it is 3x and factor it out:
3x(x^3+4x^2+9)
Notice that x^3+4x^2+9 cannot be factored anymore then the factorization of the polynomial is:
3x(x^3+4x^2+9)
Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
Answer:
Step-by-step explanation:
tan55=8.9/x
x=8.9/tan55
x=6.2cm
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