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
Answer:
Step-by-step explanation:
4(x+1)²=100
(x+1)²= 5²
(x+1)²- 5² = 0
(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)
(x - 4 ) (x+6) =0
x - 4 = 0 or x+6 = 0
x = 4 or x = - 6
B - 500 meters
EXP:
d(20) = 25(20)
d(20)=500
Answer:
X=9
Step-by-step explanation:
3x + 67 + 4x + 50 = 180
7x+117=180
7x=63
x=9
___________________________________________
CHECK
3(9)+67+4(9)+50=180
27+67+36+50=180
180=180