So it is enclosed by 200 m of fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35
solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width
Answer:
Step-by-step explanation:
She has 290 cents.
Nickels: 6x+1
Quarters: x
Dimes: 4x
Now that we've converted it algebraically, we can add them
6x+1 + x + 4x = 11x+1 = 290
11x = 289
x = 289/11
let me know if incorrect, i will fix
What answer are you looking for percents,fraction form, etc ?
Answer:
Given MC = 4
AN = 14
To Find, the length of NB
Step-by-step explanation:
AB is a line which has midpoint “C”. Now the line is divided into two equal portion AC and CB.
The AC has midpoint “M” and MC is 4, so AM will also be 4.
N is the midpoint of CB. So, CB = CN + NB
Now we know AC = AM + MC = 4 + 4 =8
Given, AN = 14
AN = AC + CN
14 = 8 + CN
CN = 6
Since N is the midpoint of CB then, CN = NB
Therefore, the NB is 6
Answer:
If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.
Step-by-step explanation:
AB=x
BC = 2x + 2BC=2x+2
AC =14AC=14
Required
Determine x, AB and BC.
Since B is between A and C;
AB + BC = ACAB+BC=AC
Substitute x for AB; 2x + 2 for BC and 14 for AC
x + 2x + 2 = 14x+2x+2=14
3x + 2 = 143x+2=14
Collect Like Terms
3x = 14 - 23x=14−2
3x = 123x=12 '
x = \frac{12}{3}x=
3
12
x = 4x=4
Substitute 4 for x in
AB = xAB=x
BC = 2x + 2BC=2x+2
AB = 4AB=4
BC = 2(4) + 2BC=2(4)+2
BC = 8 + 2BC=8+2
BC = 10BC=10
