Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
- PQ = Opposite side
- QR = Adjacent side
- RP = Hypotenuse
- ∠Q = 90°
- ∠C = θ
As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

Since, we know that,
- cosθ = 5/13
- QR (Adjacent side) = 5
- RP (Hypotenuse) = 13
So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,



∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

Where,
- Opposite side = 12
- Hypotenuse = 13
Therefore,

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

- By substituting the values, we get,


∴ Hence, the required answer is 17/7.
g(x) = 3x
g(x) = 3( x )
g( f(x) ) = 3( f(x) ) ... replace every x with f(x)
g( f(x) ) = 3( 2x-1 ) .... plug in f(x) = 2x-1
g( f(x) ) = 3( 2x) + 3( -1 ) ... distribute
g( f(x) ) = 6x - 3
You are correct in saying D is the answer
Answer:
Angle DBF = 92 degrees
Step-by-step explanation:
From the information given, we can see that we can use the triangle mid segment theorem and conclude that all 4 small triangles are congruent to each other. Therefore, all corresponding angles are also congruent to each other. Since DBF and EFC are corresponding angles and we already know that EFC is 92 degrees, DBF must also be 92 degrees.
Well before it was 20 cents per stick and now it's 25 cents. I think it would be 25-20/20=5/20=25%. percent increase by 25%
Answer:
<h2>y - 5 = x - 20</h2>
Step-by-step explanation:
The equation of a linear function in
slope-intercept form: 
point-slope form: 
standard form: 
general form: 
1.
y(x - 1) = 9
xy - y = 9 NO
2.
y - 5 = x(-x + 2)
y - 5 = -x² + 2x NO
3.
y(y - 1) = x + 25
y² - y = x + 25 NO
4.
y - 5 = x - 20
y - 5 = 1(x - 20) YES <em>(it's a point-slope form)</em>