Answer:
s
Step-by-step explanation:
Answer:Width is 6 meters and length is 7 meters
Step-by-step explanation:Let width be
x
and length be
y
. We know that the length of the rectangle is 5 less than twice its width. This can be written as:
y
=
2
x
−
5
We also know that the perimeter of the rectangle is 26 meters. The perimeter is the sum of all sides: 2 widths + 2 lengths.
P
=
2
x
+
2
y
26
=
2
(
x
+
y
)
x
+
y
=
13
We now have two equations which we can solve simultaneously. Substitute
y
=
2
x
−
5
into the second equation:
x
+
y
=
13
x
+
(
2
x
−
5
)
=
13
3
x
=
18
x
=
6
Now that we have a value for
x
(width), we can sub this value into the first equation to get
y
(length).
y
=
2
(
6
)
−
5
y
=
7
There are other methods you can use to solve simultaneous equations.
Hope this helps :)
If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:
base 1 /height 1=base 2 /height 2
Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x
We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m
Answer. the heigth of the tower will 40 m
Answer:
-34
Step-by-step explanation:
a + b = -6
x + y + z = -2
We want 8a so multiply the first equation by 8
8( a + b) = -6*8
8a+8b = -48
We also want -7x so multiply the second equation by -7
-7(x + y + z) = -2*-7
-7x-7y-7z = 14
Add the two equations together
8a+8b = -48
-7x-7y-7z = 14
-------------------------
8a+8b-7x-7y-7z = -34
Rearranging the order
8a - 7x - 7z - 7y + 8b = -34
