31=2y-5
Add 5 on both -5+5 which cancels out and 31+5 which is 36 and then divide 36 by 2 which equals to 18.
So y=18 hope this helped (':
Answer:
y = 2.5x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b, where m is the gradient or slope and b is the y-intercept.
To find the gradient/slope (m), we need to do change in y ÷ change in x.
- Pick two co-ordinates on the line; (0, 5) and (-2, 0)
- Subtract the y co-ordinates; 5 - 0 = 5
- Subtract the x-co-ordinates; 0 - -2 = 2
- Finally, divide 5 by 2; 5 ÷ 2 = 5/2 or 2.5
Now we have y = 2.5x + b. The y-intercept is simply where the line crosses the y axis (it crosses at 0,5). This means the equation of the line is y = 2.5x + 5.
Hope this helps!
Slope of this line is 5/4
equation: y = 5/4x+5
The expression for the area in terms of the width is:
A
=
w
2
+
7
w
When
w
=
12
, the area is
228
units.
Explanation:
We know that the formula for the area of a rectangle is:
Area = length x width
A
=
l
w
In this specific case, though, we are told that the length is
7
units greater than the width:
l
=
w
+
7
We can substitute this value for
l
into our area formula, and then there will be only one variable on the right-hand side:
A
=
l
w
=
(
w
+
7
)
w
=
w
2
+
7
w
This expression is the answer to the final sentence in the question, asking us to write an expression for
A
in terms only of
w
.
Now we can use our expression to find the area in the situation where
w
=
12
:
A
=
w
2
+
7
w
=
12
2
+
7
×
12
=
144
+
84
=
228
units
