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Norma-Jean [14]
2 years ago
7

Find the slope of the line passing through the points (-4, -3) and (8, -9).

Mathematics
2 answers:
deff fn [24]2 years ago
7 0

Answer: -6/12

Step-by-step explanation:

Use slope formula m= y2-y1/x2-x1, which would be -9-(-3)/8-(-4) = -6/12; X1= -4, Y1= -3, X2=8, Y2=-9

lana [24]2 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

-9--3=-6

8--4= 12

-6/12

-1/2

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Suppose that F is an inverse square force field below, where c is a constant.
Andre45 [30]

Answer:

Forces in our Universe

Step-by-step explanation:

a)

First of all we have,

F(r) = \frac{cr}{|r|^{3} }

and,

r = xi+yj+zk

We need to define a function that allows us to find said change based on r, so one of the functions that shows that change is,

f(r) = - c /|r|

That is,

\nabla f = F

For this case F is a conservative field and the line integral is independent of the path. Thus, defining  P_{1} = (x_{1}, y_{1}, z_{1}) and P_{2} = (x_{2}, y_{2}, z_{2}) . So the amount of work on the movement of the object from P1 to P2 is,

W=\int\limits_c  {F} \, dr

W= f(P_{1}-P_{2})

W= \frac{c}{(x_{2}^2+ y_{2}^2+ z_{2}^2)^{1/2} } -\frac{c}{(x_{1}^2+ y_{1}^2+ z_{1}^2)^{1/2}}

W= c(\frac{1}{d1}-\frac{1}{d2}  )

2) The gravitational force field is given by,

F(r) =-\frac{mMGr}{ |r|^3}

The maximum distance from the earth to the sun is 1.52*10 ^ 8 km and the minimum distance is 1.47*10 ^ 8km. The mass values of the bodies are given by m = 5.97*10 ^ {24}kg, M = 1.99 *19 ^ {30}kg and the constant G is 6.67 * 10 ^{ -11 } \frac{Nm ^ 2}{kg^2}

In this way we raise the problem like this,

c= -mMG

W= -mMG (\frac{1}{1.52*10 ^ 8} -\frac{1}{1.47*10 ^ 8} )

W= -(5.95*10^{24})(1.99*10^{30})(6.67*10^{-11})(-2.2377*10^{-10})

W \approx 1.77*10^{35}}J

5 0
2 years ago
A fountain shoots water into the air. The graph shows a water droplet's height y in feet x seconds after it is shot from the fou
katrin2010 [14]

Answer:

A water droplet reaches it's maximum height after 6 s

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The lid for a circular plastic food container has a diameter of 9 cm.
Levart [38]
If the diameter is 9 cm the radius is 4.5 cm (half the diameter).  The area of a circle is given by the formula:  4πr^2, where π is the constant ratio of circumference to diameter (3.14159...).

3.14 cm x 4.5 cm = 14.13 cm^2.  Remember, the units must be squared to represent area.  14.13 is extended to the nearest hundredth.
5 0
3 years ago
Two parallel lines are crossed by a transversal.
nadya68 [22]

Answer:

Option B) y = 50

Step-by-step explanation:

We are given the following information:

Two parallel lines are crossed by a transversal.

The attached image shows the intersection of transversal and the angles.

As clear from the image, the given pair of angles form alternate interior angles.

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent or equal

Thus, y = 50 degree

3 0
3 years ago
Read 2 more answers
Solve this Question 134x23/5^3
Andre45 [30]

the way the question is written it looks like it is 134*24 divided by 5 to the 3rd power:

134 *23 = 3082

5^3 = 125

3082 / 125 = 24.656

 round answer as needed.

7 0
2 years ago
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