Evaluate the expression x - 5y2 when x 3 and y = 7.
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Answer:
<h3>34.61</h3>Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
Note: Let us consider, we need to find the gradient of line L.
Given:
The given equation of a line is:
The line L passes through the points with coordinates (- 3, 1) and (2, - 2).
To find:
The gradient of the given line and the gradient of line L.
Solution:
Slope intercept form of a line is:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the gradient of the given line is -4.
The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:
Therefore, the gradient of the line L is .