Let the distance between the earth and the sun be denoted as 'z'.
From the trigonometric rules:
tan(theta)=opposite/adjacent
In this case: theta=x , opposite=y and adjacent=z
tan(x)=y/z
All terms in the equation are known except for 'z'.
therefore the distance between the earth and the sun denoted by the symbol 'z' is equal to: y/tanx
Answer:
- f(4) = -3
- x=-6 or x=0 for f(x)=1
Step-by-step explanation:
A. Find the point on the x-axis marked with a 4. Follow the vertical line down until it meets the blue line of the graph. At that point, follow the horizontal line to the left until it meets the y-axis at -3. This tells you ...
f(4) = -3
__
B. Find the point on the y-axis marked with a 1. Then find the x-values corresponding to the places where the horizontal line at y=1 intersects the blue curve. There are two of them: one at x=-6, another at x=0.
f(x) = 1 for x = -6 and x = 0
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
b. He will have $4507 after 36 months
Step-by-step explanation:
The form of the slope-intercept equation is y = m x + b, where
- m is the slope (constant rate)
- b is the intercept (initial amount value y at x = 0)
∵ The man decides to take out $100 per month from his
savings account
- That means the constant rate is 100 dollars per month, that money
will detected from his initial money every month
∴ m = 100
∴ The form of the equation is y = b - 100 x, where
- x represents the number of the months
- y represents the amount of money in his saving account in x months
To find the value of b substitute x and y by the given information
∵ He has $3507 in his account after 46 months
∴ x = 46 and y = 3507
∵ 3507 = b - 100(46)
∴ 3507 = b - 4600
- Add 4600 to both sides
∴ 8107 = b
∴ y = 8107 - 100 x
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
∵ y = 8107 - 100 x
∵ x = 36
∴ y = 8107 - 100(36)
∴ y = 8107 - 3600
∴ y = 4507
b. He will have $4507 after 36 months
Learn more:
You can learn more about the linear equations in brainly.com/question/9801816
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