Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer:
x = 3/4 n
Step-by-step explanation:
-3(x+n)=x
Distribute
-3x-3n = x
Add 3x to each side
-3x-3n+3x= x+3x
3n = 4x
Divide by 4
3/4n = 3x/3
3/4 n = x
The tree is 20 m tall .
Step-by-step explanation:
<h2>Given : </h2>
- 2m tall tree cast a shadow 4 m long .
=> 2 m tree = 4 m long
If we find shadow of 1 m tall tree = 4/2
=> we have to find height of 10 m tall tree which is .. = 4/2 × 10 = > 20 m
