Answer:
The slope would be 3/2 and the intercept would be -3
Step-by-step explanation:
To find these, you need to solve for y.
-6x + 4y = -12
4y = 6x - 12
y = 3/2x - 3
In slope-intercept form, the slope is always the coefficient of x, which in this case is 3/2.
The intercept is always the constant at the end, which in this case is -3.
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 :)
Answer: The value of x is 13 cm.
Explanation:
It is given that the length and width of the rectangle are 12 cm and 9 cm.
Use pythagoras to find the value of the diagonal.
It is given that the diagonal is labeled as 2x-11.
Divide both side by 2.
Therefore, x = 13cm.
Answer:
Step-by-step explanation:
The coordinate has the following polar form:
The image of the coordinate rotated counterclockwise 60° is:
Its equivalent form in rectangular coordinates is:
Let x be the distance it runs on the first day, then:-
x + x + 2 + x + 4 = 54
3x + 6 = 54
3x = 54 - 6 = 48
x = 48/3 = 16 km
So for the first 2 days it runs 16 + 18 = 34 km. Answer
