Answer:
and 
Step-by-step explanation:
we have the coordinates
A(2,7),B(2,2),C(7,6)
we know that
The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC
The formula to calculate the midpoint between two points is equal to
step 1
Find the mid point AC
we have
A(2,7),C(7,6)
substitute in the formula
step 2
Find the mid point BC
we have
B(2,2),C(7,6)
substitute in the formula
therefore
The endpoints of the mid segment of triangle ABC that is parallel to line AB are and
Answer:
4x^3 - 15x^2 - 10x + 24
Step-by-step explanation:
FOIL (x-4)(4x^2+x-6)
= x(4x^2+x-6) -4(4x^2+x-6)
= 4x^3+x^2-6x-16x^2-4x+24
=4x^3-15x^2-10x+24
For determining the period of a function, you pick two recognizable tops of the graph and calculate the time difference between them. In this situation the period is 5-1=4, by picking the first two tops
Answer:
Step-by-step explanation:f
(
x
)
=
x
4
−
3
,
g
(
x
)
=
4
x
2
+
2
x
−
4
(
f
+
g
)
(
x
)
Distribute the value across the operation.
f
(
x
)
+
g
(
x
)
Evaluate
f
(
x
)
.
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x
4
−
3
Evaluate
g
(
x
)
.
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4
x
2
+
2
x
−
4
Compose the result function for
f
(
x
)
+
g
(
x
)
by replacing the function designators with the actual functions.
x
4
−
3
+
(
4
x
2
+
2
x
−
4
)
Simplify.
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4
x
2
+
9
x
4
−
7
