Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
we are given two points as
(3, 16) and (5, 10)
firstly , we will find slope
slope is m
so, we can use formula
now, we can plug points
we can plug it in y=mx+b
we get
now, we can select any one points
and find b
(3,16)
x=3 and y=16
we can find b
now, we can plug back b
and we get
so, equation is
and
...............Answer
Her electricity bill will be of 14256 pence.
<em><u>Explanation</u></em>
On average, Tanya uses 90 units of electricity per week.
So, the <u>total units of electricity in 12 weeks</u> will be: 
units
One unit of electricity costs 13.2 pence.
Thus, <u>the total cost for 1080 units</u> will be: 
pence.
So, her electricity bill will be of 14256 pence.
A single angle is generally not considered to be supplementary. Supplementary angles are angles that equal 180° when they are added together. For example, 70° and 110° are supplementary because they equal 180°.
However, I guess the supplementary angle can be the angle that must be added to another to total 180°. For example, 80° is the supplementary angle of 100°.
