Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
Answer:
(2x+5)-3
Step-by-step explanation:
<span>For a rotation of 90o: (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)
see the attached figure
</span>
To figure out what a fraction is as a decimal u would do the top divided by the bottom
For this fraction it would look like this,
8 divided by 9 which would get you 0.88888888888
So your decimal is 0.889
Its not 0.888 because with decimals since a typical decimal is show as 2-3 numbers it would be rounded up to keep it as 3 numbers or less. so this would be 0.889 or if that doesnt work 0.888 with a line over the last 8.
Answer:
a) y = 2 x - 1
b) y = - x + 7
c) y = 7 x + 2
Step-by-step explanation:
Use a pair of (x1, y1) and (x2, y2) points to find the equation of the line for each tables:
a) (5, 9) and (10, 19)
slope: (y2 - y1) / (x2 - x1) = (19 - 9) / (10 - 5) = 10 / 5 = 2
Then y = 2 x + b
solve for b in: 9 = 2 (5) + b
b = 9 - 10 = -1
Then y = 2 x - 1
b) (2, 5) and (5, 2)
slope: (y2 - y1) / (x2 - x1) = (2 - 5) / (5 - 2) = -3 / 3 = -1
Then y = - x + b
solve for b in: 5 = - (2) + b
b = 5 + 2 = 7
Then y = - x + 7
c) (3, 23) and (6, 44)
slope: (y2 - y1) / (x2 - x1) = (44 - 23) / (6 - 3) = 21 / 3 = 7
Then y = 7 x + b
solve for b in: 23 = 7 (3) + b
b = 23 - 21 = 2
Then y = 7 x + 2
