Answer:
135 minutes
Step-by-step explanation:
Let
y -----> the number of pages to finish reading the book
x ----> the number of hours
we know that
The linear equation in slope intercept form is equal to

where
m is the unit rate or slope of the linear equation
b is the y-intercept or initial value
In this problem we have
<em>Xanthia</em>


----> the slope is negative because is a decreasing function
For y=0
substitute and solve for x


---> Xanthia's time to finish reading the book
<em>Molly</em>


----> the slope is negative because is a decreasing function
For y=0


--- Molly's time to finish reading the book
To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

Convert to minutes
Multiply by 60

Answer:
12:21
Step-by-step explanation:
4 + 7 = 11
33/11 = 3
3x4=12 & 3x7=21
Therefore, ratio is, 12:21
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which
and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is

- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622
Answer:
Step-by-step explanation:
a = 5b-10
a+b = 26
(5b-10)+b = 26
b = 6
a= 5b + 10 = 40
Answer:
Graph B
Step-by-step explanation: