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seropon [69]
3 years ago
7

Determine whether y varies directly with x. If​ so, find the constant of variation. y−12x=0 Does y vary directly with​ x?

Mathematics
1 answer:
Alona [7]3 years ago
8 0
Y - 12x = 0
y = 12x

Comparing it with the formular for direct variation y = kx => k = 12

y varies directly with x and the constant of variation is 12.
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ivann1987 [24]
3 is your answer mate
3 0
2 years ago
Read 2 more answers
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
1 year ago
Can someone please help me ;-; this is due today
IRISSAK [1]

Answer:

The correct answer: F (Scalene) and A (Acute)

Step-by-step explanation:

F. (Scalene):  By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.

A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.

The given triangle is not obtuse, equilateral, right, and isoceles.

It is <u>not</u> an <em>obtuse </em>triangle because none of the angles are greater than 90 degrees.

It is <u>not</u> an <em>equilateral</em> triangle because its sides are not equal.

It is <u>not</u> a <em>right</em> triangle because none of its internal angles measure 90 degrees.

And it is <u>not</u> an <em>isoceles</em> triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.

6 0
3 years ago
Select all of the situations that represent a linear relationship between x and y.
Harrizon [31]

Answer:

Linear relationship always produces a straight line and are without exponential.

Lets check all the given options:

1. the total area, in square meters, y, of a square garden if the side length is x meters.

The area of a square is

Here, side is 'x' and area 'y' will be .

This is not linear.

2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is a linear relation.

3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is also linear.

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

The equation forms:

When x = 1

When x = 2

=>

When y = 3

=>

This is also linear in nature.

Read more on Brainly.com - brainly.com/question/12747906#readmore

6 0
3 years ago
Read 2 more answers
Can someone please help me with this question ASAP.It is due tommorrow.
ahrayia [7]
The answer to the question

3 0
3 years ago
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