For this function we can find y-intercept.
x=0, y=-2
This graph is on the top, right.
The third term of the sequence is 20
Answer:
x = 69
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles in a triangle
x+90 = 159
Subtract 90 from each side
x +90-90 = 159-90
x =69
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
The midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
<h3>How to determine the midpoint of the line segment joining the points?</h3>
The points are given as:
S(8,3) and T(2,-1)
The midpoint of the line segment joining points S(8,3) and T(2,-1) is calculated as:
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5 * (8 + 2, 3 - 1)
Evaluate the sum
Midpoint = 0.5 * (10, 2)
Evaluate the product
Midpoint = (5, 1)
Hence, the midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
Read more about midpoint at:
brainly.com/question/24311350
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