Answer:
The final answers are x = 1 OR x = -3.
Step-by-step explanation:
Given the equation is x^2 -3 = -2x
Rewriting it in quadratic form as:- x^2 +2x -3 = 0.
a = 1, b = 2, c = -3.
Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)
x = ( -2 ± √(4 -4*1*-3) ) / (2*1)
x = ( -2 ± √(4 +12) ) / (2)
x = ( -2 ± √(16) ) / (2)
x = ( -2 ± 4 ) / (2)
x = (-2+4) / (2) OR x = (-2-4) / (2)
x = 2/2 OR x = -6/2
x = 1 OR x = -3
Hence, final answers are x = 1 OR x = -3.
Answer:
Step-by-step explanation:
Given : The number of cherry lollipop = 5
The total number of lollipop = 8
the number of lollipops other than grape =6
The probability of selecting a cherry lollipop is given by :_
The probability of selecting a lollipop other than grape is given by :_
Since, there is replacement , then the events are independent of each other.
Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-
Hence, the required probability =
P = 2(L + W)
P = 128
L = 2W + 4
128 = 2(2W + 4 + W)
128 = 2(3W + 4)
128 = 6W + 8
128 - 8 = 6W
120 = 6W
120/6 = W
20 = W <=== width is 20 ft
L = 2W + 4
L = 2(20) + 4
L = 40 + 4
L = 44 <=== length is 44 ft
<em>V</em>≈301.59
I think this is the answer.
Hope this helps!
Answer:
The circumference is 31.43 cm
The ratio of the circumference to the diameter is equal to 3:1
Step-by-step explanation:
Thed formular for the circumference of a circle is 2r or d
where d = diameter and r = radius
if d = 10 cm, and = 3.143, then circumference of the circle can be given as
3.143*10 = 31.43 cm
The ratio of the circumference to the diameter can be given as 31.43:10
and that can be given as 3.143:1
or 3:1, for the nearest whole number