Answer:
Y = 26
W = 73
X = 81
Step-by-step explanation:
∠W = 3∠Y - 5
∠X = ∠W + 8 = 3∠Y - 5 + 8 = 3∠Y + 3
∠Y + ∠W + ∠X = 180
substitute in the formula
Y + (3Y - 5) + (3Y + 3) = 180
7Y -2 = 180
7Y = 182
Y = 26
W = 3(26) - 5 = 73
X = 73 + 8 = 81
X = 4 y = - 3
Substitute x for 4 and y for - 3
<u>x² - 4y
</u> 2
<u>4² - 4 *(- 3</u><u>)
</u> 2
<u>16 - ( - 12 )</u>
2
<u>16 + 12</u>
2
<u>28</u> = 14
2
Solution: 14
Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:
(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.
But a= 2x and b=y, plug in:
(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵
32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵
The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2
Answer:
B seems most logical and fair
Step-by-step explanation:
Answer:
See Below
Step-by-step explanation:
We are given 3 equations.
3x + 8
5x - 20
and
5x + 4y
First lets solve for x using the first two
3x + 8 = 5x -20
Move the variables to one side
3x + 8 = 5x -20
-3x -3x
8 = 2x -20
+20 +20
28 =2x
28/2 =2x /2
14 = x
Now we have x = 14
Lets plug this into the second equation to solve for the angle
3(14) + 8
42 + 8 = 50
5(14) - 20
70 - 20 =50
Now, lets plug the x and the angle into the third equation to find y
5 (14) +4y = 50
70 + 4y = 50
-70 -70
4y = -20
4y/4 = -20/4
y = -5
So now we have:
x = 14
y = -5
and the angle = 50
Hope this helps!