Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
Answer:
y= -6
Step-by-step explanation:
-2y - 5y= -7y
-7y=42
42/-7=
y= -6
Answer:
Answer
5.0/5
23
Let's find the unit rate stemming from $18 for 4 games:
$18
------------- = $4.50/game
4 games
Let's do the same for $27 for 6 games:
$27
------- = $4.50/game (same as before)
6 g
Thus, the const. of prop. is $4.50/game, and the cost function is
C(x) = ($4.50/game)x, where x is the # of games played.
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:
y = 2x+1 (slope-intercept form)
Step-by-step explanation:
From line B, y = 2x -2 and comparing with the general equation of line, y = mx +c, we have
m1 = 2
Parallelism rule states that m1=m2
Therefore, m2 = 2
Hence, the equation passing through point A(1,3) is
y-y1 = m2(x-X1)
y - 3 = 2(x-1)
y-3 = 2x-2
y = 2x-2+3
y = 2x+1 (slope-intercept form)
