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vaieri [72.5K]
4 years ago
9

If Earth's mass is 6 × 10^24 kilograms, and Jupiter's mass is 2 × 10^27 kilograms, which of these statements is true?

Mathematics
2 answers:
dimaraw [331]4 years ago
6 0
C. jupiter has about 300 times more mass
Viktor [21]4 years ago
4 0
C, <span>Jupiter has about 300 times more mass, is the best and most correct answer. 300 * 6*10^24 = 1.8*10^27, about 2*10^27.</span>
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Step-by-step explanation:

The expression can be written as

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The - can be taken out from under the radicand and a 2 can be factored out of the expression to leave you with the expression

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4 years ago
a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the
nlexa [21]

Answer:

The standard equation of the parabola is:

y=-\frac{3}{2}x^2+12x-18

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We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

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Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}

Then the equation of the parabola becomes:

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