Answer:
2x^3 + x^2 - 9x + 6
Step-by-step explanation:
(2x^2 + 3x - 6)(x - 1)
2x^3 + 3x^2 - 6x - 2x^2 - 3x + 6
2x^3 + x^2 - 9x + 6
Answer: x = 7
Step-by-step explanation:
4(2x-3) = 6x+2 <--distribute the 4
8x - 12 = 6x + 2 <---add 12 to both sides
8x = 6x + 14 <--- subrtract 6x from both sides
2x = 14 <--- divide by two
x = 7
44 degrees, because an inscribed angle is always half of the arc it intercepts. I hope this helps you!
Given that the highest station in London Tube is at 147 m above sea level and the lowest station is at 21 m below sea level, the height difference between will be given by:
[highest height-lowest height]
147-(-21)
=147+21
=168 m
the answer is 180 m
Answer:
Step-by-step explanation:
The area for a trapezoid is

h is the length of ST, one of the bases is the length of MK, and the other base is the length of AS. First we'll find h:
The coordinates for S are (0, -2) and T are (1, 2). Using the distance formula:
and
. So h = √17
Now for the length of MK. The coordinates for M are (-7, 4) and for K (5, 1). Using the distance formula again:
and
so
which simplifies to
. So MK = 3√17.
Now for the length of AS. The coordinates for A: (-4, -1) and for S: (0, -2). Using the distance formula one more time:
and
and
. So AS = √17.
Now we can fill in our area formula:

Simplifying a bit:
and simplifying a bit more:
and
A = 34