The common factors of 36 and 72 are:
1, 2, 3, 4, 6, 9, 12, 18, and 36.
All of them go into both 36 and 72.
Answer:
y = 2 3/8
Step-by-step explanation:
Multiply by the denominator. This gives a linear equation that can be solved in the usual way.
... 3 = 8(y -2)
Divide by 8.
... 3/8 = y - 2
Add 2
... 2 3/8 = y
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In problems involving rational expressions, it often works well to multiply by the product of the denominators, or by their least common multiple, if that is easy to find. Doing this eliminates fractions. Here there is only one denominator (y-2), so we multiply by that.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope would be determined either by a graph or a equation
you didn't put it in the picture...
Answer:
Option D
Step-by-step explanation:
Given that the number of hours of daylight in a city in the northern hemisphere shows periodic behavior over time
Let t be the independent variable and no of hours H(t) be the dependent variable on t.
Maximum H(t) = 14.4 and average =12
Period = 365 days
If we fix a sine curve for this since period is 365, we must have coefficient of t as
So the function H(t) will have sine term as sin 0.017t ... i
Since average = 12, we have
H(t) = 12+a sin 0.017t
for some suitable a.
To find a, use maximum
Maximum is when angle is 90 degrees i.e. when sine value =1
max H(5) = 14.4 = 12+a (1)
a =2.4
Hence correct equation would be'H(t) = 2.4sin(0.017t)+12
OPtion D is right answer.