Answer:
Gradient is change in y over change in x.
gradient = y1-y2 ÷ x1-x2
=7-11 ÷ 3-5
=-4 ÷ -2
=2
18) (10)7d/10=35(10)
7d/7=350/7
d=50
21) 3/4 w=27
(4/3)3/4 w=27(4/3)
w=36
Hope this helps!
Answer:
6,5
Step-by-step explanation:
-2 is 4 down from 2, so reflected should be 4 up, or 6
Answer:
20.25
Step-by-step explanation:
Just multiply the base and height then divide the results in half.
Hope this helps!
Answer:
The distance between parallel lines is 
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Line A and Line B are parallel lines, because their slopes are equal
Step 1
Find the slope of the given lines
isolate the variable y in the equation A


The slope is 
Step 2
Find the slope of the perpendicular line to the given lines
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so

we have
-----> given lines
substitute

Step 3
Find the equation of the perpendicular line that pass though the origin
with the slope
and the point (0,0) Find the equation of the line



Step 4
Using a graphing tool
Graph the two parallel lines and the perpendicular line
The intersection points are
and
see the attached figure
we know that
the distance between the points A and B is the distance between parallel lines
the formula to calculate the distance between two points is equal to

substitute the values


