Mr. Harris has batteries for his calculators. If b represents the number of batteries and c represents his calculators, how many

1 answer:

3 0

These are simultaneous equations, and you can solve this by using the substitution method:

b = 4c
3c = -2b + 44

3c = -2(4c) + 44
3c = (-2 x 4c) + 44
3c = -8c + 44

11c = 44
c = 44/11
c = 4

b = 4c
b = 4(4)
b = 4 x 4
b = 16

Therefore, Mr. Harris has 16 batteries.

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27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.

ololo11 [35]

The polar equation will be $r=\dfrac{4}{1+cos\theta}$

<h3> What is the polar equation?</h3>

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The Eccentricity: e = 1

The Directrix is y = 4

Generally, the polar equation for e = 1 and y = + c is mathematically represented as

$r =\dfrac{e\times c}{1+ecos\theta}$