The slope of line passing through the points (1, -5) and (4, 1) is 24
Step-by-step explanation:
Slope is the steepness of a line passing through given points
Given points are:
(x1,y1) = (1, -5)
(x2,y2) = (4,1)
The slope is denoted by m. The formula for slope is:

The slope of line passing through the points (1, -5) and (4, 1) is 2
Keywords: Slope, Calculation of slope
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The standard equation of circle when center is (h,k) and radius is 'r'

h = 2 and k = - 5, radius = 16
So equation of the circle is given by


Group together the like terms (plus 2x with 2x) (subtract 10 by 6)
4x+4=36
Move plus four to the other side as a negative
4x=32
Divide both sides by 4
32 divided by 4 is 8
Therefore, x is equal to 8
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
sec(theta) is defined as: 
In the diagram you provided the hypotenuse of the triangle is sqrt(41) and the opposite side is 5, using these two sides, we can solve for the adjacent side by using the Pythagorean Theorem: 
So this gives us the equation where a=adjacent side:

Subtract 25 from both sides

Take the square root of both sides

So now plug this into the definition of sec(theta) and you get:
. This is in most simplified form since 41, has no factors besides 41 and 1.