Answer:
Hyperbola
Step-by-step explanation:
The polar equation of a conic section with directrix ± d has the standard form:
r=ed/(1 ± ecosθ)
where e = the eccentricity.
The eccentricity determines the type of conic section:
e = 0 ⇒ circle
0 < e < 1 ⇒ ellipse
e = 1 ⇒ parabola
e > 1 ⇒ hyperbola
Step 1. <em>Convert the equation to standard form
</em>
r = 4/(2 – 4 cosθ)
Divide numerator and denominator by 2
r = 2/(1 - 2cosθ)
Step 2. <em>Identify the conic
</em>
e = 2, so the conic is a hyperbola.
The polar plot of the function (below) confirms that the conic is a hyperbola.
1 1/12
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(1/3, 3/4) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13×44)+(34×33)=?
Complete the multiplication and the equation becomes
4/12+9/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
4+9/12=13/12
This fraction cannot be reduced.
The fraction
13/12
is the same as
13÷12
Convert to a mixed number using
long division for 13 ÷ 12 = 1R1, so
1312=1 1/12
Therefore:
13+34=1 11/2
F(-x) = 2/-x/ + 3(-x) = 2/x/ - 3x;
Total number of ways to make a pair:
The first player can be any one of 7 . For each of those . . .
The opponent can be any one of the remaining 6 .
Total ways to make a pair = 7 x 6 = 42 ways .
BUT ... every pair can be made in two ways ... A vs B or B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.
If every pair plays 2 matches, then (21 x 2) = <em><u>42 total matches</u></em> will be played.
Now, is that an elegant solution or what !
<u><em>PART A</em></u>
If 4 pounds = 10 dollars...
4/2 = 2
10/2 = 5
<u>So for 2 pounds, it would cost </u><u>$5.00</u>
Now for the 1 pound one
4/1 = 4
10/4 = 2.5
<u>For the 1 pound one, it would cost </u><u>$2.50</u>
<u></u>
<u><em>PART B</em></u>
We know that 4 pounds = 10 bucks
Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, <u>$1 = 0.4lb</u>
Now for the last blank...
Since $1 = 0.4, we multiply that by 9. 0.4 x <u>$9 = 3.6lb</u>
<u></u>
<em>HOPE THIS HELPED</em>