Answer:
The difference in slopes of 
is = 3
We can say slope of 
is positive and 3 more than slope of 
while slope of is negative.
Difference of y-intercepts of is = -7
We can say the y-intercept of is positive and 7 units above while y-intercept of is negative.
Step-by-step explanation:
Given equation:
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
where 
represents slope and 
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
Slope = 2 and y-intercept =-2
Slope = -1 and y-intercept =5
The difference in slopes of is = 
We can say slope of is positive and 3 more than slope of while slope of is negative.
Difference of y-intercepts of is = 
We can say the y-intercept of is positive and 7 units above while y-intercept of is negative.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Given:
Total number of senior students = 600
60% went on the senior trip.
One room was reserved for every 4 students.
To find:
The total number of reserved rooms.
Solution:
60% went on the senior trip from total 600 students. So, number of students who went on tripe is
Now, one room was reserved for every 4 students. So,
Therefore, the required number of reserved rooms were 90.
