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1 answer:
Answer:
The unit circle centered at the origin in the Euclidean plane is defined by the equation:
Given an angle , there is a unique point P on the unit circle at an angle θ from the x-axis, and the x- and y-coordinates of P are:
Consequently, from the equation for the unit circle:
the Pythagorean identity.
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Answer:
Step-by-step explanation:
First, find the slope using the points (3, 2) and (-1, -1):
Slope =
Find the y-intercept, b, by substituting x = -1, y = -1 and m = ¾ in y = mx + b.
-1 = ¾(-1) + b
-1 = -¾ + b
Add ¾ to both sides
-1 + ¾ = b
(-4 + 3)/4 = b
-¼ = b
Substitute m = ¾ and b = -¼ in y = mx + b.
The equation would be:
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Answer:
16 square units
Step-by-step explanation:
The formula for the area of a right triangle is ab/2 (a and b both being legs).
First, we find the legs' length which is MK and JK.
Since both points J and K are on the same y level, we look at the X coordinates and see how far apart they are.
Since both points M and K are on the same x level, we look at the Y coordinate.
M is 4 points away from K, so the leg MK is 4 units long.
J is 8 points away from K, so the leg JK is 8 units long.
Plug this into the formula and we get