Answer : The speed of both planes is 61.25 mph and 18.75 mph respectively.
Explanation:
Let the speed of first plane be x mph
Let the speed of second plane be y mph
Since we have given that difference of speeds is 80 mph
i.e. x - y= 80 (
1)
Distance between two planes = 3400 miles
As they are flying towards each other i.e. they are in the opposite direction.
So, Relative speed will be the sum of their speeds i.e.
Relative speed = x + y
And we know speed = 
Speed= 
⇒ Speed = 42.5 mph
Hence, Relative speed becomes 42.5 mph
⇒ x+y=42.5 ( 2)
Now, by using the elimination method of solving the system of equation, we have ,
x= 61.25 mph
and y = 18.75 mph
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequality of a line to graph is given as:
In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,
Now, we plot this line on a graph. The given line is of the form:
Where, 'm' is the slope and 'b' is the y-intercept.
So, for the line , 
The y-intercept is at (0, -3).
In order to draw the line correctly we find another point. Let the 'y' value be 0.
Now, 
So, the point is (3, 0).
Now, we mark these points and draw a line passing through these two points.
Now, consider the line inequality . The 'y' value is less than 
. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.
The graph is shown below.
Answer:
all prime numbers less than its square root.
Step-by-step explanation:
As you know that sum of complementary angles equal 90°
so,
7x + 11x = 90
18x = 90
x = 90/18
x =5
so,
option A is the correct one.
Answer:
b
Step-by-step explanation:
