If the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).
Given that the point is (3,2) and the point is rotated counterclockwise 350 degrees about an origin.
We are required to find the new coordinates.
Origin is a point where both the values of x and y are equal to zero.
a=arc tan (2/3)=33.7
r=
=
b=a+350
=33.7+350
=383.7 degrees
x=r cos b= cos 383.7=*0.91=3.28
y=r sin b= sin 383.7=80.40=1.44
Hence if the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).
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<em>(x + y)³</em>
- Step-by-step explanation:
<em> use (a + b)³ = a³ + 3a²b + 3ab² + b³</em>
<em>x³ + 3x²y + 3xy² + y³ =</em>
<em>= (x + y)³</em>
f(x)= x^2 -6x +21
0 =x^2-6x+21
subtract 21 from each side to prepare for completing the square
-21 = x^2 -6x
completing the square (b/2)^2
(-6/2) ^ =3^2 = 9
add 9 to each side
-21 +9 = x^2 - 6x + 9
-21 +9 =(x-3) ^2
-12 = (x-3)^2
take the square root of each side
+- sqrt(-12) = x-3
add 3 to each side, take out the negative inside the square root
3 +- i sqrt(12)=x
simplify the square root sqrt(12)= sqrt(4)sqrt(3) =2sqrt(3)
3 +- i 2sqrt (3) = x
Answer: 3+2isqrt(3)
3-2isqrt(3)
Answer: 40 sq miles
Step-by-step explanation:
