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Leona [35]
3 years ago
6

Determine the graph of the polar equation r= 4/1 -.5 cos theta.

Mathematics
1 answer:
kirill [66]3 years ago
6 0

Answer:

Choice B is correct

Step-by-step explanation:

Considering the equation is in standard form, the eccentricity of this conic section is 1/2. This implies that we are looking at ellipses. Alternative A is incorrect since the graph is that of a parabola. Alternative B represents an hyperbola.

From the equation, we can deduce that the ellipse has a directrix at x = -8 thus matching with graph B

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Drag the point around to graph more horizontal lines. What is the general equation of a horizontalline?
svetlana [45]

A horizontal line is one for which the value of y is the same for the entire length of the line. Therefore this type of line can be expressed as below:

y=c

Where "c" is a constant that changes the position of the line on the coordinate plane. If c is equal to 2, then we have a constant line that crosses the y-axis at the position 2 for example.

7 0
2 years ago
The product of two consecutive natural numbers is greater than their sum by 109. Find these numbers
Charra [1.4K]

Answer:

The numbers will be "11 and 12".

i believe

Step-by-step explanation:

x(x + 1) > x + x + 1 + 109     where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2  - x - 110 > 0

(x - 11)(x + 10) > 0    The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12

8 0
3 years ago
Simplify<br> −<br> 2<br> x<br> ×<br> 3<br> x<br> ×<br> −<br> x
Alexus [3.1K]

Answer: 6x^3

Step-by-step explanation:

4 0
3 years ago
Which function has zeros of -8,1, and 3
grin007 [14]

Answer:

A

Step-by-step explanation:

The zeros of a polynomial function are found by factoring in the form

a(x - r1)(x - r2)(x - r3) ... = 0, where each 'r-something' is a root (or solution) and 'a' is the leading coefficient.

Like if we have 3x² - 3x - 6 = 0

Factoring it as 3(x-2)(x + 1) = 0 shows the roots are 2 and -1.

And sine the right side is zero, we can even drop the factor of 3 on the left, and still have an equivalent equation (has same answers).

(x-2)(x + 1) = 0

The reason this works is because each factor in parentheses adds up to zero, creating a factor of zero in what is being multiplied on the left. And we know that if you have a series of factors in a product, and any one of those factors is zero, the whole product must be zero. So what is on the left equals the zero on the right, making the equation true.

4 0
3 years ago
Are theses 3 answers right?
sweet [91]
Yes they are correct.

At least I'm pretty sure they are:)
6 0
4 years ago
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