now, the denominator has a higher degree, a degree of 1, than the numerator's, therefore the horizontal asymptote for this function is at y = 0.
now, the vertical asymptotes of it, are at the zeros of the denominator, namely x = 0, when is x = 0? at 0, so the vertical asymptote for this function is at x = 0, the y-axis.
now, if we want the horizontal asymptote moved over from its position at 0, over to x = 5, simply translate it by 5 units,
.
and if we want the vertical asymptote to move down from 0 to -3, simply translate the function vertically 3 units,
Answer:
25,886 in²
Step-by-step explanation:
The given figure shows 2 circles centered at the same point. We need to find the area of the shaded region. If we observe carefully, the area in between two circles is the shaded region. So if we subtract the Area of smaller circle from the Area of larger circle we can calculate the Area of the shaded region.
Area of a circle = πr²
Radius of larger circle = OP = OQ = 93.4 inches
Radius of smaller circle = OR = OQ - RQ = 93.4 - 71.5 = 21.9 inches
Therefore, area of shaded region will be:
Area of Shaded Region = Area of larger circle - Area of smaller circle
Area of Shaded Region = π(93.4)² - π(21.9)²= 25,886 in²
Thus, the area of shaded region, rounded to nearest inch will be 25,886 in²
Answer:
12
Step-by-step explanation:
equation is 4P2
answer would be 12
Answer:
3×3
=9cm^2
Step-by-step explanation:
that is the answer
The area of a rectangle is the multiplication of its width times its length, that is:
area = width*length
We have to write as an equation the information about the relationship between the width and the length, they say the width is 1/4 of the lenght, this is:
width = lenght/4
now we substitute the data we have:
area = width*length
144 = (length/4)*length
length^2 = 4*144 = 576
the length is raised to the second power because we had to multiply length*length, so to solve the last equation we had to take the square root to both sides:
length = √576
<span>length = 24
</span>so the length of the banner is 24 feet, and we know that:
<span>width = lenght/4
</span><span>width = 24/4
</span>width = 6
so the width is 6 feet