Let the width be w, then length = 2w - 1
Area = length times width = w(2w - 1) = 21.
Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0
Solving the quadratic equation gives that w = 3.5.
Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.
Answer:
(X+1)^2 + (y+1/2)^2 = 225/4
Step-by-step explanation:
Center= (-7+5) /2 = - 2/2 = -1 and (4-5)/2 = - 1/2
Coordinates of the center = (-1, - 1/2 )
(-1 is the h coordinate in the circle equation and -1/2 is the k)
Distance of the diameter= sqrt [(-7- 5)^2 + (4 - - 5)^2]
d = sqrt [(-12)^2 + (9)^2
d = sqrt (144+81)
d = sqrt 225
( the value of the radius in the equation is squared so the radius is (sqrt 225/2)^2=
Radius= 225/4
The equation of circle is: (x - - 1)^2 + (y - - 1/2) = 225/4
Answer:
61st term in the sequence
Step-by-step explanation:
125 = 2n + 3
122 = 2n
n = 61
<span>x^3 - 3(x)^2 + x - 3 < 0
х</span>²(х-3)+(х-3)<0
(x-3)(x²+1)<0
x²+1 always more than zero
therefore (x-3)(x²+1)<0 when x-3<0, x<3
Answer:
19.48 m
Step-by-step explanation:
The formula that is used to find arc length is:
arc length = 2πr
In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.
arc length = 2 × π × 9 ×
= 2 × π × 9 × 0.3444
= 19.48 m