(2,5) (3,10) (1,0) (0, -5)
Step-by-step explanation:
The Length ,
L
=
284
f
t
.
Explanation:
Given:
Rectangle
Area,
A
=
8804
f
t
2
let W bet he width of the rectangle
L be the length of the rectangle
L
=
10
W
−
26
E
q
u
a
t
i
o
n
1
substitute to
e
q
u
a
t
i
o
n
2
A
=
(
L
)
(
W
)
e
q
u
a
t
i
o
n
2
A
=
(
10
W
−
26
)
(
W
)
8804
=
(
10
W
−
26
)
(
W
)
factor
8804
=
2
(
5
W
−
13
)
(
W
)
divide both sides by 2
4402
=
(
5
W
−
13
)
(
W
)
4402
=
5
W
2
−
13
W
transposing 4402 to the right side of the equation
0
=
5
W
2
−
13
W
−
4402
by quadratic formula
W
=
−
(
−
13
)
+
√
(
−
13
)
2
−
4
(
5
)
(
−
4402
)
2
(
5
)
W
=
[
13
+
√
169
+
88040
]
10
W
=
13
+
(
√
88209
)
10
W
=
13
+
297
10
W
=
310
10
W
=
31
ft
Thus ,
L
=
10
W
−
26
=
10
(
31
)
−
26
L
=
284
f
t
.
answer
W
=
−
(
−
13
)
−
√
−
(
−
13
2
)
−
4
(
5
)
(
−
4402
)
2
(
5
)
this is discarded since this will yield a negative
A. Length - 100 ft Width - 50 ft is the measurement of Tony's backyard.
Albert's Perimeter = 2(l+w) = 2(40+20) = 2(60) = 120 ft.
Tony's Perimeter = 120 ft * 2.5 = 300 ft
Tony's length = 40 ft * 2.5 = 100 ft
Tony's widht = 20 ft * 2.5 = 50 ft
To check tony's perimeter:
P = 2(l + w) = 2 (100 + 50) = 2 (150) = 300 ft.
Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
