A concert promoter needs to make $63,600 from the sale of 1720 tickets. The promoter charges $30 for some tickets and $50 for th
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Answer:
<em>Area of polygon D = 10 square units</em>
Step-by-step explanation:
<u>Given:</u>
Polygon <em>C </em>has an area of 40 square units.
It is scaled with a scale factor of to form a new polygon D.
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<u>To find:</u>
The area of polygon D = ?
<u>Solution:</u>
When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.
And the area becomes one-fourth of the original polygon.
Let us consider this by taking examples:
- First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>
Area of a right angled triangle is given by:
If scaled with a factor , the sides will be 3, 4 and 5.
New area, A':
i.e. Area becomes one fourth.
- Let us consider a rectangle now.
Sides be 8 and 10 units.
Area of a rectangle, A = = 8
10 = 80 sq units.
Now after scaling, the sides will be 4 and 5 units.
New Area, A' = 4 5 =20 sq units
So,
Now, we can apply the same in the given question.
Area of polygon D =
Area of polygon C
Area of polygon D = 40 = <em>10 sq units</em>
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be
but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with
which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients: