Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
The answer is 3.06 but if you round its 3.1
Answer:
or 1.5
Step-by-step explanation:
Now we know it's a dilation. So we can use any two points. I chose V and V'.
V: (3,6)
V': (2,4)
So how we get from 6 to 4?
You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2. Add them to get 6.
Therefore, the dilation factor is 1.5.
Answer:
x =2
SK = 21
KY = 13
SY = 34
Step-by-step explanation:
we can see from the picture the following:
SK + KY = SY equation 1
SK=13x-5 equation 2
KY = 2x+9 equation 3
SY = 36-x equation 4
using equation 2, equation 3 and equation 4 in equation 1 we have:
13x - 5 + 2x + 9 = 36-x
15x +4 = 36 - x
15x +x = 36-4
16x = 32
x = 32/16
x= 2
using x as 2 we evaluate it in equation 2, equation 3 and equation 4:
SK=13(2)-5 = 21
KY= 2(2) +9 = 13
SY = 36-2 = 34
We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.
