Answer: 125 ft.
Step-by-step explanation:
Assuming the perimeter of the park is 400 ft, the equation can be represented as
2l + 2w = 400
Since we know that the width is 50 ft shorter than the length, using algebra, you replace the variable w, with
2l + 2(l-50) = 400
Then, solve for variable l, or length
2l +2l - 100 = 400
4l = 500
l = 125
Now, plug in l and solve for w
2(125) + 2w = 400
250 + 2w = 400
2w = 150
w = 75
2(125) + 2(75) = 400
250+150 = 400
400=400
l = 125, w = 75
So the length is 125 ft
Answer:
x^2 + y^2 - 8x + 18y + 48 = 0
Step-by-step explanation:
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the centre of circle and r is the radius of circle. hence the standard form of equation can be obtained by expanding
(x-4)^2 + {y-(-9)}^2 = 7^2
Answer: 11
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }550
a=starting value = 550
r=\text{rate = }18.8\% = 0.188
r=rate = 18.8%=0.188
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.188=0.812
b=1−r=1−0.188=0.812
\text{Write Exponential Function:}
Write Exponential Function:
y=550(0.812)^x
y=550(0.812)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
60=550(0.812)^x
60=550(0.812)
x
\frac{60}{550}=\frac{550(0.812)^x}{550}
550
60
=
550
550(0.812)
x
Divide both sides by 550
0.109091=0.812^x
0.109091=0.812
x
\log 0.109091=\log 0.812^x
log0.109091=log0.812
x
Take the log of both sides
\log 0.109091=x\log 0.812
log0.109091=xlog0.812
use power rule to bring x to the front
\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}
log0.812
log0.109091
=
log0.812
xlog0.812
Divide both sides by log(0.812)
10.638757=x
10.638757=x
x\approx 11
x≈11
Hello there!
(Equation #1) 32 + 12 = 44
(Equation #2) 6 - 3 = 3, 3 x 8 = 24
These both equations don't have the same answer, even though it says that they are equal with each other, if you could correct these these 2 equations I am willing to answer again.
Hope this helped!!
