Slope-intercept form:
y = mx + b "m" is the slope
First i would isolate the "y" in the equation.
2x + y = 4 Subtract 2x on both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x or y = -2x + 4
The given line's slope is -2.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
The 3rd option is your answer
Answer
Find out the what is the sale price of the jeans including tax .
To prove
Let us assume that the sale price of the jeans including tax be x .
As given
Michael is buying a pair of jeans that regularly cost $40.
They are on sale for 20% off.
If the tax rate is 8% .
20% is written in the decimal form
= 0.20
8% is written in the decimal form
= 0.08
Than the equation becomes
x = 40 - 40 × 0.20 + 40 × 0.08
x = 40 - 8 + 3.2
x = 43.2 - 8
x = $35.2
Therefore the sale price of the jeans including tax be $ 35.2 .
Answer:
The correct option is 4.
4) Doing two distance formulas to show that adjacent sides are not the same length.
Step-by-step explanation:
Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.
We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.
However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.
Answer:
-3.7 > -3.1
Step-by-step explanation:
Because -3.1 more close to 0 so is supposed to be bigger than -3.7
