The area of the cirle is: | I 10 in
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Refer to the diagram shown below.
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
Answer:
I'll set up the problem and you can do the calculation
Step-by-step explanation:
we need to complete the squares to get the equation in the general form:
where h = the x coordinate of the center
k = the y coordinate of the center
r = the radius
so looking at
we can see that if use -1 as the constant we have
doing the same for y
we can use -2 as the constant (basically you that the s
quare of the y coefficient )
so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top
20 +1+4=25
Take the square root and you have the radius