<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
==============================================================
Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
--------------------------
The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
---------------------------
Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
You need to divide the miles by the hours to et the Average speed.
M divided by h = s
Because to get the mph (miles per hour) you multiply the average speed to the hours.
S•h=mph
12 inches = 1 foot
thus 47 feet 3 inches = (47+3/12) feet =47.25 feet
There are different types of equations of lines.
There are these three main forms, but I'll focus on just 2:
Slope-Intercept Form:
y = mx + b
Where,
"m" = slope
"b" = y-intercept
Point-Slope Form:
y - y1 = m(x - x1)
Where,
"m" = slope
"y1" = A y point on the graph
"x1" = A x point on the graph that correlates with the y value.
y = 6x - 12
Is in the same form of Slope-Intercept:
So,
y = 6x - 12
m = 6
b = -12
So our slope is,
6
Keep in mind if it was a fraction (Example: 6/5, then the slope is 6/5) the slope will be the entire fraction.
Also remember slope is the RISE over the RUN meaning it is the y value over the x value. So in this case we would go UP 6 and right 1 (because 6 is understood as 6/1).
