Answer:
Step-by-step explanation:
Given that:
sin2xcos x + cos2xsin x = -1
Recall that;
SInAcosB + cosASinB = SIn (A+B)
SIn (2x +x) = -1
Sin (3x) = -1
![x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ]](https://tex.z-dn.net/?f=x%20%3D%20%5Cbigg%20%5B%5Cdfrac%7BSin%20%5E%7B-1%7D%20%28-1%29%7D%7B3%7D%20%20%5Cbigg%20%5D)


Since JN = NK, this means that JK has been split into two equal pieces
This points to the fact that the smaller triangle is half of the larger triangle in terms of side lengths
MN = 14 which means LK is twice as long, so LK = 2*MN = 2*14 = 28
In summary,
LK = 28
Step-by-step explanation:
1. 1/13 2. 1/26
First write the equation:
1/2x + 5 = 6
Then subtract five from both sides:
1/2x = 1
Multiply both sides by 2:
x = 2
The problem is stating that Mandy found the ratio between input and output of many points on the graph, which are displayed by the fractions. Mandy's conclusion was that they were not equivalent, meaning they were different and that is why the function is not proportional. Mandy's conclusion is wrong, the relation is proportional. If we take all the functions we have:

Where the input is the denominator and the output is the numerator we will have a ratio of "5". Mandy's mistake was to invert the last fraction, she inserted the output in the denominator, this is why she said the were different.