An automobile dealership gives a discount of 8% if payment os made in cash. How much would a $17,500 car cost if the payment wer
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Answer:
The graph of y = 1/2f(x) is the graph y = x and y = -x for -4 ≤ y ≤ 0
Step-by-step explanation:
Here we note that when y = 0, x = 0
when y = -4, x = -2
The equation is therefore of the form y = m·x + c
m = slope
c = y intercept = 0
Hence the first line is y = 2·x
The second line on the right is the mirror of the first on the left with slope;
Hence the second line on the right is y = -2·x
Hence for y = 1/2 f(x) we have;
y = 1/2 × 2·x = x and y = 1/2 ×-2·x = -x
Graphing the functions, we have
the value of sin ∅ is 12/ 13
<h3>Quadrants and the "cast" Rule:</h3>- In the first quadrant, the values for sin, cos, and tan are positive.
- In the second quadrant, the values for sin are positive only.
- In the third quadrant, the values for tan are positive only.
- In the fourth quadrant, the values for cos are positive only.
From the given question,
We have, cos ∅= 5/13
From the trigonometric identities, we have that
Then , let's substitute the value of cos ∅
Let make sin the subject of formula and find the squares of the fraction
sin²∅ =
Find the LCM
sin²∅ =
Find the difference
sin²∅ =
Find the square root
sin∅ =
sin∅ =
In quadrant II , sin is positive, so we have
sin ∅ = 12/ 13
Thus, the value of sin ∅ is 12/ 13
Learn more about quadrant here:
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