Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x )
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 4 numbers to the right of the decimal point, place the decimal number over <span>104</span> (10000). Next, add the whole number to the left of the decimal.<span>4375\10000</span>Cancel the common factor of 625 in <span>437510000</span> since <span><span>4375\10000</span>=<span><span>7⋅625</span><span>16⋅625</span></span></span>.<span><span>74375</span><span>1610000</span></span>Reduce the expression <span>4375\10000</span> by removing a factor of 625 from the numerator and denominator.<span><span>7\16</span></span>
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Answer:
Rock travels about 8.2x²meters higher on the moon than on the Earth.
Step-by-step explanation:
Expression showing the height of a rock thrown into the air at Earth is,
f(x) = -9.8x² + 10x + 1.5
Similarly, expression showing the height of rock thrown on the moon is,
g(x) = -1.6x² + 10x + 1.5
Difference in the height of the rock thrown on moon = g(x) - f(x)
= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)
= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5
= 8.2x²
Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.
