Mn - 4m - 5n + 20
(mn - 4m) + (-5n + 20)
m(n - 4) + (-5n + 20)
m(n - 4) - 5(n - 4)
(m - 5)(n - 4)
So mn - 4m - 5n + 20 completely factors to (m - 5)(n - 4)
Csc (x) = sec ( 90 - x) so csc(52) = sec (90 - 52) = sec (38)
Answer:
9 + 7x
Step-by-step explanation:
14 + 3х - 5 + 4х
Subtract the numbers, and add the x's together.
9 + 7x
This is the furthest the expression can be simplified.
Hope this helps :)
Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that
Hence, the length of the second arc is 12 feet.
Let the cost of 1 ribeye steak dinner = x
The cost of 1 salmon dinner = y
Then,
11x + 18y = 592.29 (1)
16x + 6y = 580.56 (2)
Multiplying the second equation by 3, we get,
48x + 18y = 1741.68 (3)
(3) - (1) gives
37x = 1149.39
x = 31.06
Substituting the value for x in (1), we get,
11(31.06) + 18y = 592.29
341.66 + 18y = 592.29
18y = 250.63
y = 13.92
Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.
