Part A
The given line passes through (-2,2) and it is parallel to the line
We need to determine the slope of this line by writing it in slope -intercept form.
The slope of this line is
The line parallel to this line also has slope
The equation is
We substitute (-2,2)
The required equation is
PART B
The given line is
The slope of this line is
The slope of the line perpendicular to it is
The equation of the line is
We substitute the point, (-2,2)
The equation of the perpendicular line is
Answer is 12.73
Use Pythagorean theory
Split square into two right triangles with diagonal line. To find the diagonal
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
162= c^2
Take square root of both sides
12.73 = c
Answer:
.08
Step-by-step explanation:
The activity series is an arrangement of species in order of reactivity.
<h3>What is the activity series?</h3>
The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.
The following are the fates of these reactions;
- 2NaBr + I2--------->2NaI + Br2 - Not possible
- 2Fe + Al2O3 ----------> 2Al + Fe2O3 - Not possible
- 2AgNO3 + Ni ----------> Ni(NO3)2 + 2Ag - possible
- Pb + Zn(C2H3O2)2 ----------> Zn + Pb(C2H3O2)2 - Not possible
Learn more about activity series:brainly.com/question/18080147
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Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.
If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.
If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.
However, the area x*y must be constant and = 100.
We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.
We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.
So, the difference between the max and min values of x+y = 101 - 20 = 81.
