Answer:
810 min
Step-by-step explanation:
5 miles for 45 min
90 miles for x min
x = (90*45)/5
x= 810 min = 13.5 hours
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y


The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point 
The x-intercept is the point 
Using a graphing tool
The solution of the system of inequalities in the attached figure
Answer:
70
Step-by-step explanation:
The angle not marked in the top triangle is 40 degrees since it is an isosceles triangle. That makes the angle opposite it in the other triangle 40 degrees since they are vertical angles and vertical angles are equal.
The bottom triangle has 3 angles that sum to 180 degrees, The other angle not marked is also y since it is an isosceles triangle.
40 + y +y = 180
Subtract 40 from each side and combine like terms
40-40 +2y = 180-40
2y = 140
Divide by 2
2y/2 = 140/2
y = 70
It's just wherever the function touches the x axis, so 5 and -1
Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is

It is the point slope form of a line, therefore the slope of the line is
and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.



The point slope form of a line is

Where m is the slope and b is y-intercept.
Therefore the slope of the line is
and the y-intercept of the line is
.
Slope is defined as

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is
.

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.