Answer:
Given equation are:
......[1]
.....[2]
- The two lines are parallel lines then their slopes will be equal.
- When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.
Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.
Slope
of equation of line in [1] is;
then;

Slope
of equation of line in [2];
Add both sides 2x we get;
-2x + 8y + 2x = 2x + 4
Simplify:
8y = 2x +4
Divide both sides by 8 we get;

then;

Therefore, the given two lines are neither parallel nor perpendicular.
Answer:
<em>You should buy the watch from Store A because it's cheaper</em>
Step-by-step explanation:
Store A sells a watch for $50 with a 5% discount.
Let's calculate the sale price. The 5% discount is
5/100*$50 = $2.50
The sale price is $50 - $2.50 = $47.50
Now for Store B. The price of the watch was $60 with a 20% discount.
Calculate 20% of $60:
20/100*$60 = $12
The sale price is $60 - $12 = $48
Thus, you should buy the watch from Store A because it's cheaper
Answer:
She can make 9 uniform tops from the material left.
Step-by-step explanation:
Given:
Yards of material left on the bolt = 
Material requirement for a uniform top for band members = 
To find the number of tops that can be made from the material left.
Solution:
In order to find the number of tops that can be made from
yards of material, we need to divide
by
.
Number of uniform tops that can be made is given as:
⇒ 
We first convert mixed number to fractions.
⇒ 
To divide fractions the fractions are multiplied after flipping the divisor.
⇒ 
⇒ 
⇒ 9
Thus, she can make 9 uniform tops from the material left.