Answer:
-12x - 9xy
Step-by-step explanation:
-3x(4x - 5xy + 8y)
distribute
-12x + <u>15xy - 24xy</u>
combine like terms
-12x - 9xy
Answer:
x<(3b-5)/a
Step-by-step explanation:
Subtract 3b from both sides: -ax>5-3b
Divide by -a, when dividing/multiplying a negative you flip the </> sign: x<(3b-5)/a
Are you asking about the percent of change?if so the answer is 33.3%.
Answer:
RQ = 10
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal;
Thus, we have it that;
QP/RQ = BC/AB
12/RQ = 36/30
RQ = 12 * 30/36 = 10
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
