The polar coordinates of the point whose cartesian coordinates is (-2√3 , 2) is (4cos210, 4sin210)
<h3>Polar form of a rectangular coordinate</h3>
The polar form of a rectangular coordinate (x, y) is expressed as (rcos theta, r sin theta)
Given the coordinate (-2√3 , 2)
r = √(-2√3)²+2²
r = √12+4
r = 4
theta = tan^-1(-2/2√3)
theta = tan^-1(-1/√3)
theta = -30 degrees = 210 degrees
The polar coordinates of the point whose cartesian coordinates is (-2√3 , 2) is (4cos210, 4sin210)
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Hello :)
11,3x+7,2=86,3
⇔11,3x=86,3-7,2=79,1
⇔x=79,1/11,3= 7
The answers is c) 7 :).
<h3>Answer: 1981</h3>
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Work Shown:
Recall that P is in thousands, so P = 95 means 95,000.
Plug in P(x) = 95. Solve for x. Use logarithms to get this done.
P(x)=230(0.881)^x
95=230(0.881)^x
95/230 = (0.881)^x
0.41304347826087 = (0.881)^x
(0.881)^x = 0.41304347826087
Log( (0.881)^x )= Log( 0.41304347826087 )
x*Log( 0.881 )= Log( 0.41304347826087 )
x= Log( 0.41304347826087 )/Log( 0.881 )
x= 6.97883817154785
x= 7
Approximately 7 years after 1974 is when the population will be around 95,000.
7 years after 1974 = 1974+7 = 1981
Answer:
-4r - 11 = 4r + 21
-4r -4r = 21 + 11
-8 = 32 (Divide both sides by -8)
/ /
-8 -8
= -4
Answer:

Step-by-step explanation:
The distance d between a point (m , n ) and a line in the form
Ax + By + C = 0 , is calculated as
d = 
Here (m, n ) = (6, 2 ) and
6x - y = - 3 ( add 3 to both sides )
6x - y + 3 = 0 → A = 6, B = - 1, C = 3
d = 
= 
= 
=
× 
=
← cancel 37 on numerator/ denominator
= 