(-8,1) it being reflected to the other side so just move the points
Answer:
w^4 / (9u^8)
Step-by-step explanation:
( w^2/-3u^4)^2
We know that ( a/b) ^c = a^c / b^c
( w^2) ^2/ (-3u^4)^2
We know that a^b^c = a^(b*c)
w^(2*2)/ (-3u^4)^2
We know ( ab) ^c = a^c * b^c
w^4/ (( -3)^2 u^4^2)
w^4/(9 u^(4*2))
w^4 / (9u^8)
Answer:
The length of y is 8
Step-by-step explanation:
∵ The two chords of the circle intersected at a point
∴ 4 × 12 = 6 × y
∴ y = 48 ÷ 6 = 8
1. x+12
2. x-8
3. 3*x
4. x^(2)+5
5. (x/2)+7
6. 4*(x+6)
7. (1/2)*x
8. 2x+8
9. x^(2)+3
10. (x/3)+12
Additional activity
1. 2-50
2.20/4=5
3.100-50=50
4.three times two then add to four equals ten
5. the diffrence of eight and four
Answer:
$180000
Step-by-step explanation:
Let's c be the number of chair and d be the number of desks.
The constraint functions:
- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c
- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c
c >= 0
d >= 0
The objective function is to maximize the profit function
P (c,d) = 400d + 250c
We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c
1.25c = 500
c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000
The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500
So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000
