Answer:
Let's call the length of the field "l", and the width of the field "w".
If the area of the field is 72 square meters, then we have:
l x w = 72
And if the length is 6 meters longer than the width, we have:
l = w+6
So looking at the first equation (l x w = 72), we can substitute the l for a w+6.
And we obtain:
(w+6) x (w) = 72
Which simplifies to w^2 + 6w = 72.
This quadratic equation is pretty easy to solve, you just need to factor it.
w^2 + 6w - 72 = 0
(w-6)(w+12)
This leaves the roots of the quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.
So, the width of the rectangular field is 6, and the length of the field is 12.
Let me know if this helps!
Answer:
$1.15
Step-by-step explanation:
Let the current price of the cookie be C whilst the normal price is c.
From the information we can deduce two equations.
Firstly, since they are $0.75 less than usual:
C+$0.75=c
Secondly, since seven cost $2.80
7C=$2.80
We can simplify this equation by dividng by 7
C=$0.40
Now combine the equations via substitution this value above into the first equation
$0.40 + $0.75= c
c= $1.15
Therefore the normal price is $1.15
Answer:
x = 2
y = -3
Step-by-step explanation:
y = x-5
y = -x-1
2x -4 = 0
2x = 4
x =2
y = 2-5
y = -3
Allrealnumbers<69 is a possible answer
Answer:c
Step-by-step explanation:
