Answer:
3384
Step-by-step explanation:
Answer:
A (-3, 2.5)
Step-by-step explanation:
Midpoint formula is m=(x1 + x2/2), (y1 + y2/2)
So add the xs: -5 + -1 = -6
And the ys: 1 + 4 = 5
Then divide them by 2
(-3, 2.5)
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula
which describes the number of ways we can choose
objects given
possible choices. So, if
and
, then:

Hence, the teacher can make 35 different geometry quizzes.
Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.