Answer:
The slope of the line perpendicular to the given line is 2/3
Step-by-step explanation:
step 1
Find the slope of the given line
we have
3x+2y=6
isolate the variable y
2y=-3x+6
y=-(3/2)x+3
The slope of the given line is m=-(3/2)
step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, their slopes are opposite reciprocal of each other ( the product of their slopes is equal to -1)
so
m1*m2=-1
we have
m1=-3/2
so
m2=2/3
therefore
The slope of the line perpendicular to the given line is 2/3
Answer:
The distance between points A and B is 3 units
Step-by-step explanation:
We need to find distance between points on the number line.
The points given are:
A = -1 , B = 2
The formula used is: ![Distance = |b-a|](https://tex.z-dn.net/?f=Distance%20%3D%20%7Cb-a%7C)
Putting values of a and b and finding answer:
![Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3](https://tex.z-dn.net/?f=Distance%20%3D%20%7Cb-a%7C%5C%5CDistance%20%3D%20%7C2-%28-1%29%7C%5C%5CDistance%3D%7C2%2B1%7C%5C%5CDistance%3D%7C3%7C%5C%5CDistance%20%3D%203)
So, The distance between points A and B is 3 units
The answer would be 32 because the parenthesis are just there because its negative and 2 negatives multiplied together make a positive :)
Answer:
Write the problem as a mathematical expression.
b(12)=4.8b
Move 12 to the left of b.
12b=4.8b
Move all terms containing b to the left side of the equation.
7.2b=0
Divide each term by 7.2 and simplify.
b=0
Step-by-step explanation: