Answer:
Step-by-step explanation:
6x
Answer:
Step-by-step explanation:
11) strategy: since they tell us. indirectly, that the length of JK is the same as LM then we can set those two equal, solve for X and then.. when we have X we can figure out the lenght of JK and LM and then just divide that by 2 go get PK ( :0 Player Killer ??? no , not that PK)
solve JK and LM
3x + 23 =9x-19
42 = 6x
7 = x
now that we know x = 7 plug it into either equation to come up with the length of JK or LM . I'll pick JK just b/c it was 1st
3(7) + 23 = JK
21+23 = JK
44 = JK
now take half of 1/2*JK= 22 that is PK ( are you sure that 's not player killer?)
PK = 22
12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB
9x-20 = 5x + 28
4x = 48
X = 12
9(12) -20 = BG
88 = BG
2*88 + AB
176 = AB
13) done
14) strategy: find the angle at L, and that will also be the arc of MK
<em>copy and past the below</em> helpful trig functions into your computer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
<em>copy and past the above</em> :
use which ever trig function you want , we have all the sides of the triangle, I'll use CAH
Cos(Ф) = 9/15
Ф = arcCos(9/15)
Ф = 53.13010°
arc MK = 53.13010°
15) strategy: arc JK is just 2 times MK
2*MK = 106.26020°
arc MK = 106.26020°
16) find arc JPK strategy: JPK is just the remaining part of a full circle of 360 - MK = 253.7397°
arc JPK = 253.7397°
Answer:
your finding the absolute value, I I this means absolute value which means if its negative it automatically is its own number you get rid of the negative sign if it's positive just keep it because it's already in it's normal number.
For example: I -4 I = 4
For example: I -5 I = 5
For example: I 3/4 I = 3/4
For example: I 3 I = 3
For example: I 4 I = 4
Take out the constants.
(
3
×
3
)
x
x
(3×3)xx
2 Simplify
3
×
3
3×3 to
9
9.
9
x
x
9xx
3 Use Product Rule:
x
a
x
b
=
x
a
+
b
x
a
x
b
=x
a+b
.
9
x
2
9x
2
It actualy gives you the minimum of the function
it helps you because fonding the minimum y will give you the range
