First you get "y" by itself. To do so you divide 2 on both sides.
y = 3/2x + 5
To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.
You then use the equation:
y = mx + b
SInce you know "m" you plug it in.
y = 3/2x + b
Now you need to find b. To do so you plug in the point (2, -5) into this equation.
-5 = 3/2(2) + b
-5 = 3 + b
-8 = b
Finally you plug in b and you get your new equation.
y = 3/2x - 8
Answer:
Sharon spent a total of 49 minutes yesterday reading the book
Step-by-step explanation:
Step 1: Calculate the rate at which she reads
The total number of pages she reads at any given time interval can be expressed as;
T=P×m
where;
T=Total number of pages she reads
P=the rate at which she reads in number of pages per minute
m=total number of minutes she takes reading a book
In our case;
T=10 pages
P=p
m=35 minutes
replacing;
10=p×35
p=10/35
p=(10/35)
The rate at which she reads=(10/35) pages per minute
Step 2: Calculate the time she spent reading the book yesterday
Yesterdays variables are as follows;
T=14 pages
p=(10/35) pages per minute
m=unknown
replacing;
14=(10/35)×m
m=14×(35/10)
m=49
Sharon spent a total of 49 minutes yesterday reading the book
It’s around 450 euros right now - to figure this out you multiply the number of pounds by the current exchange rate ( which you can look up)
The volume of the shaded region is 1650 cubic feet.
In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.
Let's start with the first equation.
Cross multiply both sides of the equation.
Subtract 6x on both sides of the equation.
Divide both sides of the equation by -5.
Therefore, the slope of the first equation is 4/5.
Let's now simplify the second equation.
Add x on both sides of the equation.
Divide both sides of the equation by -4.
Therefore, the slope of the second equation is -5/4.
Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.
