Answer:
The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Step-by-step explanation:
The polar form of the Cartesian coordinates (x , y) is (r , Ф), where
-
- Ф =
The Cartesian coordinates is (6 , -3)
That means the point lies in the fourth quadrant because the x-coordinate is positive and the y-coordinate is negative, so Ф will be equal [2π - ] (neglect the negative sign of y-coordinate)
∵ x = 6 and y = -3
∵ r > 0
∵
- Substitute x and y in the rule of r
∴
∴
∴
∴
Now let us find Ф
∵ 0 ≤ Ф < 2π
∴ Ф = 2π -
- Neglect the negative sign of the y-coordinate
∴ Ф = 2π -
∴ Ф = 333.4° OR Ф = 5.82 radiant
∴ The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Answer:Smaller value is 4 yards.
The larger value is 6 yards.
Step-by-step explanation:
Let L represent the length or larger value of the rectangular plot.
Let W represent the width or smaller value of the rectangular plot.
The area of the rectangular field is expressed as
LW = 24 - - - - - - - - - - 1
The formula for determining the perimeter of the rectangular fence is expressed as
2(L + W) = 20
L + W = 20/2 = 10
Substituting L = 10 - W into equation 1, it becomes
W(10 - W) = 24
10W - W² = 24
W² - 10W + 24 = 0
W² - 6W - 4W + 24 = 0
W(W - 6) - 4(W - 6) = 0
W - 4 = 0 or W - 6 = 0
W = 4 or W = 6
Substituting W = 4 and W = 6 into
L = 10 - W, it becomes
L = 10 - 4 or L = 10 - 6
L = 6 or L = 4
Answer:
x = 3
y = -2
Step-by-step explanation:
x - 2y = 7
y = -x + 1
x - 2y = 7
x - 2 ( -x + 1 ) = 7
3x - 2 = 7
3x = 9
x = 3
y = -x + 1
y = -3 + 1
y = -2
<span>Mother bought a washing machine for $490 and a dryer for$ 520 if she made 10 equal payments how much would each payment be... the first one would be 49 and the 2 is 52</span>