Which of the following expressions is equivalent to 6m - 10?
1 answer:
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Given:
The equation of ellipse is
To find:
The length of the minor axis.
Solution:
The standard form of an ellipse is
...(i)
where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.
We have,
...(ii)
On comparing (i) and (ii), we get
Taking square root on both sides.
Consider only positive value of b because length cannot be negative.
Now,
Length of minor axis =
=
=
So, the length of minor axis is 8 units.
Therefore, the correct option is B.
Answer:
3.728 cm²
90
Step-by-step explanation:
To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.
Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.
So, the length of the patches is m and the width of the patches is
m.
Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)
Now, the area of the rectangular piece of material is (28 × 12) = 336 m²
Hence, ≈ 90 such patches can be made out of the whole material. (Answer)