Step-by-step explanation:
Given expression;
2x + y = -5;
The given equation must be written in a form where the slope is the negative inverse of the given one.
A line perpendicular to another will have a negative inverse slope.
2x + y = -5
Equation of a straight line is generally written as;
y = mx + c
y and x are the coordinates
m is the slope
c is y - intercept
2x + y = -5
y = -2x -5
The slope of the perpendicular =
So,
the new line;
y =
x -5
Any line with slope of
will be perpendicular
20 units
Perimeter =add up all sides.
Perimeter = 5+1+5+9
=20 units
Answer:
m = -2 and b = -1/3
m = -2 and b = -2/3.
Step-by-step explanation:
y = -2x - 1/3
y = -2x - 2/3
This system has no solutions because y cannot be 2 different values at once.
Answer:

Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that

Collect like terms


Multiply both sides by -1


The expression for the total cost of their trip is 7 + 2x + 3y.
As per the question, assuming the number of bottles to be x and number of bags to be y. The equation will have one time fee of admission, product of cost of bottles and number of bottles and product of cost of bags and number of chips bags.
The one time fee and two products will be added to form the expression. Forming the equation now -
Expression = 7 + 2x + 3y
Therefore, the expression of trip when x bottles of water were bought during the visit is 7 + 2x + 3y.
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