Answer:
The slope is -3/2
Step-by-step explanation:
<u>A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.
</u>
Example: Find the line perpendicular to y = 3x
First, you flip the sign which makes 3 into -3
Next, you make the reciprocal which makes -3 into <u>-1/3
</u>
Problem: Find the line perpendicular to y = (2/3)x + 7
First, you flip the sign which makes 2/3 into -2/3
Next, you make the reciprocal which makes -2/3 into <u>-3/2</u>
Answer: The slope is -3/2
Answer:
x = 1.5
y = 0
Step-by-step explanation:
10x + 5(2x - 3) = 15
10x + 10x - 15 = 15
20x - 15 = 15
20x = 30
x = 1.5
y = 2(1.5) - 3
y = 3 - 3
y = 0
Check:
10(1.5) + 5(0) = 15
15 + 5(0) = 15
15 + 0 = 15
15 = 15
(4 - -2) / (9 - 5) = 6/4 or 3/2
Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is
and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear