Double angle identity for cosine:
By the Pythagorean theorem, if
, it follows that
:
where we take the positive root because
, and
is non-negative throughout this domain.
So we have
Answer:
5
Step-by-step explanation:
To find the distance between two points, subtract the two values and find the absolute value. So in this question, our equation would be |-2-3| which equals |-5| which then solves to 5.
Answer:
What type of math is this
Step-by-step explanation:
algebra?
Answer:
u = 8w-16 /-12 or = - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.
Step-by-step explanation:
-12u -13 = 8w-3
-12u+13 -13 = 8w-3-13 Eliminate -13 by +13 both sides
-12u = 8w-16 So you are left with one value left side.
-12u/-12 = 8/-12 - 16/-12 Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .
u = 8w-16 /-12 Then you can factor out the rest
This has made u the independent variable then you have a choice to continue showing or ignore u; as u =
= - 8(w-2)/12 Step 1 Factor with subtraction change from -12 to - central fraction
= - 2(w-2)/3 Step 2 Simplify with new minus sign for central fraction to replace a/-b
Answer:
Their slope is the same. Perpendicular
Step-by-step explanation:
3x + 4y = 12
4y=12-3x
y=-3/4x+3
6x + 8y = 48
8y=48-6x
y=-3/4+6
