First, start off with the x-axis. -6.5, 1 becomes 6.5, 1. This is because point T is 6.5 to the left of the x-axis line, so our new point would be 6.5 to the right of the x-axis line. Same thing for the y-axis, (6.5, 1) would become (6.5, -1).
Standard calculator will tell you that this is <span>1.1034455e+18 If that makes sense</span>
The equation is 
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be 
= 
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula 
The slope is 
= 
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is 
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes:
Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
1.)
6% of 38
1% of 38 = 3.8 ( you just move the decimal placement over by one.
1% * 6 = 6%
3.8 * 6 = 6%
3.8 * 6 = 22.8
6% =22.8
2.)
5% of 90
90/5 = 5%
90/5 = 18
18 = 5%
3.)
15/5 = 9/x
15/5 = 3
3 = 9/x
(nine divided by ? is three?....3!)
3 = 9/x(3)
3 = 9/3
3 = 3
x = 3
4.)
1/12 = .8/x
Multiply each side by ten.
1/12 * 10 = 5/6
.8/x * 10 = 8/x
5/6 = 8/x
Cross Multiply (switch the second numbers around)
5x = 6*8
Simplify
5x = 48
Divide both sides by 5 to get x by itself
5x/5 = x
48/5 = 9.6
*Whoo last problem lol*
5.)
A three liter bottle costs $2.97 what is the unit rate.
Well the unit is the object we're talking about, in this case a liter bottle.
The unit rate is how much it costs or is per unit.
Now that that's out of the way...
3L = 2.97
Like the other problems we want to get x by itself, so we'll divide by three)
3L/3 = L
2.97/3 = .99
L = .99
The Unit Rate is $0.99 per liter bottle.
Hope this helped :)
