To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-11)(-3)) ] / ( 2(-11) )
x = [-5 ± √(25 - (132) ) ] / ( -22 )
x = [-5 ± √(-107) ] / ( -22)
Since we conclude that √-107 is nonreal, the answer to this question is that there are no real solutions.
Answer:
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of one side. Equivalently, x^2 = A.
Here x^2 = 225 yd^2. Taking the positive square root of both sides, x = 15 yd.
Thus, the perimeter of the square area enclosed by the fence is
P = 4(15 yd) = 60 yd
Answer:
1200 feet of ribbon
Step-by-step explanation:
2 feet per doll
600 dolls
600 dolls x 2 feet per doll
1200 feet of ribbon for 600 dolls
Let us assume that the number of days she practiced the piano to be "d"
Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d
Now we are given the total number of hours during summer that she practiced be be equal to 32/23
So we equate 2/3 * d to 32/23 to find d
2/3*d = 32/23
d = (32/23)/ (2/3)
d = (32/23) * (3/2)
d = 48/23 hours
The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23
Answer:
1.5 + 0.5h = 5 and 0.5h + 1.5 + 5
Step-by-step
I think this would be the answer, sorry if it's not
