Answer:
It means that the roots of the quadratic equation are real and distinct
Step-by-step explanation:
Here, given the discriminant of the quadratic equation, we want to find out the nature of the solutions.
Mathematically, we can use to determine the nature of the discriminant.
By it’s formula;
D = b^2 - 4ac
We can see that the given discriminant 40 is a positive value. What this means is that the quadratic equation has roots which are real and are distinct
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
=
+ 
=
+ 
576 =
+ 169
= 576 - 169
= 407
x = 
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point
with slope m, then the point-slope form of the line is:

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:


Therefore, the required point slope form of the given line is
.
160 minutes also known as 2 hours and 40 minutes
Answer:
The party will cost 28.125 dollars.
Step-by-step explanation:
Because to find how much each person costs you would have to take 22.50 divided by 4 to get 5.625, then do 5.625 times 5 to get 28.125 as your answer.