A line passes through the point (-6,7) and has a slope of -3/2 write in point slope form

mezya [45]

Answer:

96

Step-by-step explanation:

If B is the midpoint of AC, the length of AC has to be twice the length of AB. This is because AB = AC. Twice 48 is 96.

4 0

3 years ago

Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their outcome is fo

Iteru [2.4K]

Answer:

Melanie.

Step-by-step explanation:

The possible ways of getting a 6 are (3,3), (2,4), (4,2), (1,5) and (5,1).

That is 5 ways.

The possible ways of getting a 7 are (1,6), (6,1), (5,2),( 2,5), (3, 4), (4,3).

That is 6 ways.

So Melanie made the better decision.

4 0

3 years ago

A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a

mezya [45]

Answer:

See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

$y=sin(x)$

That function has:

Midline, also known as rest or equilibrium position: y = 0
Minimum: - 1
Maximum: 1
Amplitude: the distance between a minimum or a maximum and the midline = 1
period: the interval of repetition of the function = 2π

The more general sine function is:

$y=Asin(Bx+C)+D$

That function has:

Midline: y = D (it is a vertical shift from the parent function)
Minimum: - A + D
Maximum: A + D
Amplitude: A
period: 2π/B
phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2

Amplitude, A = 3

midline y = - 1 ⇒ D = - 1

y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

$y=3sin(2x/\pi+C)-1$

Substitute (0, -1)

$-1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0$

Hence, the function to graph is:

$y=3sin(\pi x/2)-1$

To draw that function use this:

Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
Minima: 3(-1) - 1 = - 3 - 1 = -4
y-intercept: (0, - 1)
x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0

3 years ago

How to find the mad of the set of data?

kramer

Answer:

add up all numbers

then divide that number by the amount of numbers.

Step-by-step explanation:

mad is basically finding the average of a set of numbers.

and how do you do that?

first, add up all numbers

ex: 1, 5,3,10,6,20,15,15,14 --> this adds up to 90.

then divide that number by the amount of numbers.

count how much numbers ehere are: there are 9 numbers.

divide 90 by 9 and the mad/average is 10.

plz give brainliestttt

5 0

3 years ago

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Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was

slavikrds [6]

Keywords:

Variables, televisions, generic version, TV brand, dimensions

For this case we have two televisions, one generic version and one brand. We know that the generic version represents $\frac {2} {3}$ the size of the brand. We must define two variables that represent the dimensions of the brand TV, so we have:

x: Brand TV length

y: Brand TV width

Dimensions of the generic TV:

$Length = 12\\Width = 24$

So:

$\frac {2} {3} x = 12$

$\frac {2} {3} y = 24$

By clearing the variables we have:

$x = 12 \frac {3} {2} = 18\\y = 24 \frac {3} {2} = 36$

Thus, the dimensions of the brand TV are 18 inches by 36 inches

Answer:

The dimensions of the brand TV are 18 inches by 36 inches

3 0

3 years ago

Read 2 more answers