9 and 12 have a common factor of 3 so 9/12 = 3/4
Answer:
6x +19
Step-by-step explanation:
6(x +2) +7
distribute the 6 (multiply 6*x and 6*2)
6x + 12
add the 7 to the 12
=6x + 19
Answer:
Step-by-step explanation:
2x2 + 8x - 3x - 12
2x2 + 5x - 12 is equivalent to the given expression
We will use order of operations (PEMDAS) to solve this.
1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.
2.) 33+4(10) Now that we did that, we are gonna add 4 to 33.
3.) 37(10) Lastly we are gonna multiply 37 by 10.
The answer is gonna be 370. If this helped, maybe consider giving me brainliest :)
Step-by-step explanation:
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- 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.