Option 2: is the correct answer.
Step-by-step explanation:
The radical expressions like these are simplified by using fractional exponents
given
Converting radicals into exponents
When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3
So
As the bases of numerator and denominator is same, the exponents can be subtracted
Hence,
Option 2: is the correct answer.
Keywords: Exponents, radicals
Learn more about radicals at:
#LearnwithBrainly
Answer:
For not exact divisions: Writing the results as Quotient + Remainder over the Divisor.
For exact division: just the quotient.
Step-by-step explanation:
Hi there,
In both algorithms, for long and synthetic divisions we must write the result as an expression following that order:
When the Division leaves no Remainder, i.e. an exact, the Remainder is equal to zero, so
Check below for the algorithms for each division and the way of writing their expressions (results).
Answer:
4 m
Step-by-step explanation:
The equation can be written ...
y = (x/4)² = (1/16)x²
where the divisor 4 is the horizontal scale factor that makes the parabola 8 m wide at y = 1 m.
This can also be written as ...
y = 1/(4p)x² = (1/16)x²
from which we can see ...
4p = 16
p = 4
In this form, p is the distance from the vertex to the focus, 4 meters.
_____
Another way to find the y-coordinate of the focus is to draw a line with slope 1/2 through the vertex. It will intersect the parabola at the point where the vertical distance to the directrix is the same as the horizontal distance to the focus. The y-coordinate of that point is the y-coordinate of the focus.
