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3 years ago

Determine the discount between the point(-4,2) and the line 4y=3×+6

Mathematics

1 answer:

Savatey [412]3 years ago

6 0

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

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Answer:

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3 years ago

Plz help on bottom one no guessing

Anna35 [415]

That's the distance formula, which is the Pythagorean Theorem applied to the points.

The distance between (a,b) and (c,d) is $\sqrt{(a-c)^2+(b-d)^2}$

a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.

Here that just means our distance is

$d = \sqrt{(1 - -3)^2 + (2 - 3)^2} = \sqrt{4^2+1^2}=\sqrt{17} \approx 4.12$

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4 years ago

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3 years ago

For a certain experiment, if we expect to get a red marble twelve times in 60 trials, what is the theoretical probability of get

MrRa [10]

Answer:

1/5

Step-by-step explanation:

You expect to get 12 red marbles out of 60 trials.

So, you expect to get a red marbles 12/60 of the times.

We can simplify that 12/60 to 1/5, which is a choice of answers. :-)

We assume here you correctly assume your probability level when you did your forecast of 12/60. And either you're picking from a small pool and re-insert the marble, or you have a very large amount of marbles (at least 60).

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4 years ago

I don’t understand ?????

Artemon [7]

The answer is 27/4 bruh

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Determine the discount between the point(-4,2) and the line 4y=3×+6​

Determine the discount between the point(-4,2) and the line 4y=3×+6