Answer:
Step-by-step explanation:
Simplify the expression -4x^2(3x − 7).
A. -12x^3 + 28
<h2>B. -12x^3 + 28x^2<= your answer</h2>
C. -12x^3 − 28
D. -12x^3 − 28x^2
He will have 425/(1/2) = 425 x 2 = 850 plots.
Since 
and 
, we can rewrite the right side of the equation as
Using the identity 
, we can subtract 
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
Answer:
First, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Related questions
What is the midpoint of the line segment joining the points (7, 4) and (-8, 7)?
How would you set up the midpoint formula if only the midpoint and one
Step-by-step explanation:
