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garri49 [273]
3 years ago
11

Transform the Cartesian (rectangular) equation to a polar equation: x = -9. The selected answer is incorrect.

Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:

Solution : Option C

Step-by-step explanation:

We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations (  x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.

Given : x = - 9,

( Substitute r cos(θ) for x )

r cos(θ) = - 9,

r = - 9 / cos(θ)

( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )

r = - 9 sec(θ)

Therefore the third option is the correct solution.

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Parallel/perpendicular definition
atroni [7]

Answer:

Parallel: extending in the same direction, everywhere equidistant.

Perpendicular: ar an angle of 90 to a givin line, plane or surface.

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3 years ago
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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov
Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
\int\limits^a_a {f(x)} \, dx  = 0

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

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5 0
2 years ago
Use the number chart to answer the questions. Circle each number you find. You can only use digits that are next to each other t
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Answer:

  • row - F
  • column - K
  • column - S
  • row - B
  • column - K
  • column - G

Step-by-step explanation:

1. The least four digit number found in the rows is : 1164

  The row is F

2. The maximum number of digits in counting order is : 1 3 5 7 9

   The column is K

3. The highest 3 digit number in a column is 992

   The column is S

4. The palindrome with greatest number of digits is 7117

   The row is B

5. The greatest number of odd numbers in counting order is : 1 3 5 7 9

   The column is K

6. The palindrome with greatest number of digits is 235532

   The column is G

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What’s the degree of
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The degree would be 3
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What is the equation of the line that goes through (8,-2) and (0,14​
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Answer:

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Step-by-step explanation:

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