Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
The solution is 
.
Solution:
Given inequality:
Divide by 7 on both sides.
The solution is .
The image of the graph is attached below.
Begin by factoring 2 out of 2x^2 - 2x - 12 equals 0:
2(x^2 - x - 6) = 0
2(x - 3)(x + 2) = 0. 2 is never zero, but x-3 and x+2 can each be set = to 0:
This results in x = 3 and x = -2. The equation is true for these two x-values.
Given:
The equation is
The incorrect solution steps are given.
To find:
The first error.
Solution:
We have,
Using distributive property, we get
The given step 1 is 
, which is not correct.
Therefore, there is first error in step 1 because the distribution property is not used properly.
Hence, the correct option is D.
