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Savatey [412]
3 years ago
5

the weight of an object on the moon varies directly with it weight on the earth. if an object weighing 94 Ib on the moons weight

s 570 Ib on the earth how much does an object on the moon if it weighs 2700 Ib on the earth
Mathematics
1 answer:
AlekseyPX3 years ago
7 0
446lb (rounded to the closest pound)
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Vertical angles are angles that are the same (for example >< since they're the same). Adjacent angles are angles that share a side with another angles, such as \|, since they are sharing on angle that connects the two.

Now that you know what each is, you can tell that they are similar because <em>they both have something in common</em>. When dealing with vertical angles, you can tell that they are the same thing, meaning they each share the whole shape of the angle. Adjacent angles share one whole line together; therefore, showing you that both have a line in common.

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3 years ago
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Answer:

The equation of the quadratic in standard form is:

y=-2x^2-8x-2

Step-by-step explanation:

Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:

y-y_v=a\,(x-x_v)^2

where (x_v,y_v) is the location of the vertex (in our case the point (-2,6).

Therefore the equation above becomes:

y-y_v=a\,(x-x_v)^2\\y-6=a\,(x-(-2))^2\\y-6=a\,(x+2)^2

Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter "a":

y-6=a\,(x+2)^2\\-2-6=a\,(-4+2)^2\\-8=a\,(-2)^2\\-8=a\,*4\\a=-2

Then, the equation of the quadratic with such characteristics becomes:

y-6=-2\,(x+2)^2\\y-6=-2x^2-8x-8\\y=-2x^2-8x-2

which is the equation of the quadratic in standard form.

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