Answer: B
Step-by-step explanation:
Step-by-step explanation:
8)
describe y in terms of x
y=5+x
so now replace y with terms of x
5+x+3x=37
4x=32
x=8
y=13
9)
do the same here
x=y+1
2y+x=19
2y+y+1=19
3y=18
x=6
y=7
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in
minutes, therefore she can solve
number of questions into
minutes.
She can read each page in
minutes, therefore she can read
pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find
and
intercept of each of the equation to graph them.
For
put y=0
We will get 
Thus the point is 
Let us find
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation 
Here x-intercept would be at
We will get 
Thus the point is 
Let us assume on more point, say
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus
and 
Y = 1st angle
X = 2nd angle
Y = 3X - 16
90 = X + Y
90 = X + (3X -16)
Do some algebra and X=26.5
So substitute x back in to find y, and Y=63.5
Answer: OPTION D.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
You know that the segment GH is on this line:

Solving for "y", you get:

So you can identify that:

The segment FE is on this line:

Solving for "y", you get:

Then you can identify that:

As you can notice, the lines have the same slope of
. This means that they are parallel.