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.
If she can drive 4180 miles in <em>two </em>weeks, it would make sense that she would drive an average of <em>half </em>that distance in <em>one </em>week. Half of 4180 is 2090, so she averaged 2090 miles each week.
Table C is a function, because none of the numbers in the X column repeat. (All the other ones do.):-)Hope I could help!!
<span>A) 2x + 4y = 38
B) 10x + 3y = 105
Multiplying A) by -5
A) -10x -20y = -190 then adding it to B)
</span><span>B) 10x + 3y = 105
-17y = -85
y = 5
x = 9
</span>
Answer:
B. An increase in i, the interest rate, will create an increase in P, the monthly payment.
Step-by-step explanation:
We have the formula for the monthly payment as,
,
where P = monthly payment, i = rate of interest, PV = present value and n = time period.
Now, as i increase we get that (1+i) increases and so 
increases.
This gives us that, 
decreases and so 
decreases
Therefore, 
increases.
So, we get that as i increases , the value of P will increase.
Hence, option B is correct.
