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Pani-rosa [81]
3 years ago
15

Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how f

ar apart are they?

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Gravitational force = (gravity x mass1x mass2)/distance^2

6.0x10^-10 = (6.67x10^-11 x 9 x 9)/d^2

D = sqrt(6.0x10^-10/6.67x10^-11 x81)

D = 3.0 m

The answer is B.3.0 m

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Please Help Me With This Math Problem
gizmo_the_mogwai [7]

Answer:

Yes the relationship is linear and given by:

y+2=-\frac{5}{4} \,(x+9) (first option of your list)

Step-by-step explanation:

Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:

-7-(-2) = -7+2 = -5

-12-(-7) = -12 +7 = -5

-17 - (-12) = -17 + 12 = -5

We notice that all of them give "-5"

Now we evaluate the difference between consecutive x-values in a similar fashion:

-5 -(-9) = -5+9 = 4

-1-(-5) = -1+5 = 4

3-(-1) = 3+1 = 4

We see that they all give 4 as the difference.

That means that the rate of change \frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}

This means that the slope (rate of change) of the line is "-5/4"

We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)

which is the first expression listed among your possible answer choices.

4 0
3 years ago
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the
Mumz [18]
I have no idea maybe ask ur math teacher
6 0
3 years ago
Read 2 more answers
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
OleMash [197]
seth2cold let’s be moots
7 0
3 years ago
The graph of a linear relationship passes
Evgen [1.6K]

Answer:

The equation of the linear relationship is y = 3x + 2 ⇒ B

Step-by-step explanation:

<em>To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation</em>

A.

∵ y = 2x + 3

→ Use the first point (0, 2)

∵ x = 0

→ Substitute x by 0 in the equation

∴ y = 2(0) + 3

∴ y = 0 + 3 = 3

∵ The y-coordinate is 2

∴ The point (0, 2) does not lie on the graph of the relationship

∴ The equation y = 2x + 3 doesn't represent the equation of the relationship

B.

∵ y = 3x + 2

→ Use the first point (0, 2)

∵ x = 0

→ Substitute x by 0 in the equation

∴ y = 3(0) + 2

∴ y = 0 + 2 = 2

∵ The y-coordinate is 2

∴ The point (0, 2) lies on the graph of the relationship

→ Use the second point (1, 5)

∵ x = 1

→ Substitute x by 1 in the equation

∴ y = 3(1) + 2

∴ y = 3 + 2 = 5

∵ The y-coordinate is 5

∴ The point (1, 5) lies on the graph of the relationship

→ Use the third point (3, 11)

∵ x = 3

→ Substitute x by 3 in the equation

∴ y = 3(3) + 2

∴ y = 9 + 2 = 11

∵ The y-coordinate is 11

∴ The point (3, 11) lies on the graph of the relationship

→ Use the fourth point (2, 7)

∵ x = 2

→ Substitute x by 2 in the equation

∴ y = 3(2) + 2

∴ y = 6 + 2 = 8

∵ The y-coordinate is 7

∴ The point (2, 7) doesn't lie on the graph of the relationship

∴ The equation of the linear relationship is y = 3x + 2

3 0
2 years ago
Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle.62 + 102 = 8236 + 100 = 64136 ≠
weeeeeb [17]

Answer:

Option 3rd is correct

No,

she should have added 6^2 and 8^2 and compared that to 10^2

Step-by-step explanation:

In a right angle triangle, we use Pythagorean theorem.

Pythagorean theorem states that

the sum of the squares of two sides must equal the square of the third side(the side facing the right angle).

i.e,  \text{Hypotenuse side}^2=\text{sum of the square of two side}

Given a triangle with side lengths 6, 10, and 8.

If we square all the given sides, we get;

6^2 = 36,

8^2 = 64

10^2=100

It can be seen that the sum of 36 and 64 is 100

⇒6^2+8^2 = 10^2

which satisfies the Pythagorean theorem.

⇒ The triangle is right-angled with the side lengths 6 units and 8  units forming the right angle and the side length 10 units  being the hypotenuse.

Therefore, her answer is incorrect, she should have added 6^2 and 8^2 and compared that to 10^2

7 0
3 years ago
Read 2 more answers
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