If you would like to find a factor of 6x^2y + 8x^2 - 30y - 40, you can calculate this using the following steps:
<span>6x^2y + 8x^2 - 30y - 40 = 2x^2 * (3y + 4) - 10 * (3y + 4) = (3y + 4) * (2x^2 - 10) = 2 * (3y + 4) * (x^2 - 5)
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The correct result would be 3y + 4.
Given:
Area of sample board: 1/3 square ft.
Weight of sample board: 1/5 lbs
We need to get the weight of the whole square foot.
1/3 square foot is only a part of the whole square foot. Its corresponding weight is 1/5 pounds. We need to divide the area by its corresponding weight to get the total weight per square foot.
1/3 ÷ 1/5
Rules of dividing fractions:
1st fraction: 1/3 ; 2nd fraction: 1/5
1) Get the reciprocal of the 2nd fraction. 1/5 ⇒ 5/1
2) Multiply 1st fraction to the reciprocal of the 2nd fraction
1/3 * 5/1 = 5/3
3) Simplify fraction.
5/3 is an improper fraction. To simplify it, it needs to become a mixed fraction.
5/3 = 1 2/3 pounds.
Answer:
Option C is correct
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio.
Notice that sides b and q are corresponding ( they are opposite equal angles) and so are a and p
The general equation of an ellipse centered at the origin with its semiaxes coinciding with the coordinate axes is given by
Substituting
and
into the above equation gives the Pythagorean identity, so we can use polar coordinates quite nicely to our advantage.
If
is the ellipse with the equation above, the area is given by the double integral
Let
and
, so that the Jacobian matrix is
and the magnitude of its determinant is
since in polar coordinates we use the convention that
, and
because they are lengths.
Now, the area is given by
Answer:
100%
Step-by-step explanation:
From 3 to 24, it's 100%
