Side of square = 3 × -2
= -6
Perimeter of square = 4 × side
= 4 × - 6
= -24 units
For this, all you need is the velocity formula which is Vf = Vi + at.
Vf = final velocity.
Vi = initial velocity.
a = acceleration
t = time
Vf = Vi + at.
Vf= 0 + (-<span> 9.8 m/sec^</span><span>2) (7s)
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*The 0 says that the original velocity is zero. The - 9.8 m/sec^2 is gravity because there is nothing else acting upon it, and it is negative because it is falling. The 7s is time time.*
All you have to do then, is simplify to get 68.6 m/s which is B.
Answer: it looks arithmetic if I had to guess
Step-by-step explanation:
10 students per gender:
Boys: <span>four Xs over five and one X over zero, two, three, four, ten, and twelve.
5, 5, 5, 5, 0, 2, 3, 4, 10, 12 </span>→ 0, 2, 3, 4, 5, 5, 5, 5, 10, 12<span>
mean: 5.1
range: 12
</span><span>Girls: three Xs above eight, two Xs above three and four, and one X above two, six and seven.
8, 8, 8, 3, 3, 4, 4, 2, 6, 7 </span>→ 2, 3, 3, 4, 4, 6, 7, 8, 8, 8
<span>mean: 5.3
range: 6
The boys have the higher range while the girls have the higher mean value.
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Vertical asymptote:
Find the restriction on x. This is the easiest of the three asymptotes you will need to find (even if only two can show at a time). As a hyperbola is in the form:
, you only need to find the restriction on the denominator, namely denominator can never be zero. Hence, let the denominator equal to zero to find the vertical asymptote.
Horizontal asymptote:
Find the restriction on y. To do this, you need to simplify the top and bottom to its lowest terms. If it simplifies to a form such as:
, then the horizontal asymptote becomes y = a. You need to think to yourself, as x grows to infinite, and shrinks to negative infinite, what happens to the function? Does it slowly curve to a stop?
Oblique asymptote:
This is a pretty rare kind, but it still exists, so don't be naive to this sort of asymptote. This is a form of horizontal and vertical asymptote, only it's at an angle. That is, this asymptote is a set of x and y-coordinates that work in unison to produce a curvature or line.
Let's consider:
Now, in normal term, a horizontal asymptote would have a degree higher in the denominator than in the numerator. However, it's flipped in this case.
Now, you will need to long divide this set of polynomials to yield a straight y = x line, except it's been moved 11 units to the right to yield a y = x - 11 line.
Remember: these exist because the highest power is in the numerator and not the denominator.