Answer:
A. f(-3) < g(-3)
Step-by-step explanation:
Evaluating f(-3), you get ...
f(-3) = -(-3)^2 +4 = -9 +4 = -5
Looking up g(-3) in the table, you get ...
g(-3) = 1
Comparing these values, you find
f(-3) vs. g(-3) . . . is . . . -5 vs. 1
The true comparison is ...
-5 < 1
So, f(-3) < g(-3).
9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points and is given by,
Slope =
Slope of AB =
=
Slope of AD =
= Not defined (Parallel to y-axis)
Slope of DC =
=
Slope of BC =
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC =
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.
Answers:
1: 6, because both are congruent
2: 14, because if half is seven then the whole line is double.
3: (Sorry, I’m not sure on this one).
4: Right triangle
5: 42, because A = (xy) / 2
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