Answers:
- Part A) There is one pair of parallel sides
- Part B) (-3, -5/2) and (-1/2, 5/2)
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Explanation:
Part A
By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.
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Part B
The midsegment has both endpoints as the midpoints of the non-parallel sides.
The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.
x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3
y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2
The midpoint of segment PS is (-3, -5/2)
Repeat those steps to find the midpoint of QR
x coord = (x1+x2)/2 = (-2+1)/2 = -1/2
y coord = (x1+x2)/2 = (3+2)/2 = 5/2
The midpoint of QR is (-1/2, 5/2)
Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.
The answer you selected is correct
3x - 4y = 16
3x = 4y + 16
x = 4y/3 + 16/3
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Hello :
<span>the general term equation, an, for the arithmetic sequence is :
An = A1+d(n-1)
A1 : the first term and : d the common diference
in this exercice :
A1 = 9
d =(-3)-(1) =(1)-(5) =(5) -(9) = -4
An = 9-4(n-1)
An = -4n +13</span>
Answer:
We are given the tangent function 
.
Firstly we know that, 
, where 
is the sine function and 
is the cosine function.
Now, tangent function will be zero when its numerator is zero.
i.e. 
when 
.
i.e. when 
, where n is the set of integers.
So, tangent function crosses x-axis at 
, n is the set of integers.
Further, tangent function will be undefined when its denominator is zero.
i.e. when 
.
i.e. when 
, where n is the set of integers.
Moreover, a zero in the denominator gives vertical asymptotes.
So, tangent function will have vertical asymptotes at 
, n is the set of integers.
Therefore, these key features gives us the graph of a tangent function as shown below.
