A^2-5a = 6
a^2-5a-6 = 0
Discriminant = (-5)^2-4(1)(-6) = 49
Discriminant is positive so there are two solutions
Answer:
2 units
Step-by-step explanation:
x= 2×4/4 = 2 units
Answer:
The Quantity 10$ per shirt represent a unit rate .
Step-by-step explanation:
Given:
There are 3 white shirts and 2 black shirts . per 10$ dollar.
To find:
Which quantities represent the unit rate ?
Solution:
Total of 5 shirts .
which means total of 50 dollar among 5 shirts.
i.e.50/5=10 dollars .
Hence each shirt causes 10 dollars or 10$ per shirt.
The Quantity 10$ per shirt represent a unit rate .
Answer:
Step-by-step explanation:
He already has songs = 41
Since we are given that he purchase four songs every week .
So, in first week he purchase songs = 4
Initially he already has 41 songs
So, total songs after 1 week = 
After 2 weeks he will have songs = 
This forms an arithmetic sequence : 41,45,49......
Formula of nth term in A.P. : 
a = first term = 41
d = common difference = 45-41=49-45=4
Since we are required to find the new songs after110 weeks
So, n =110
Substituting values :
Thus Option A is correct.
They want the point D such that D is equally distant away from the three gates. Call the gates A, B, and C
They want
AD = BD = CD
If we draw a circle through those three points, then point D would be the center
This circle is known as the circumcircle as it goes through the three points
The center D is the circumcenter
So all you have to do is find the perpendicular bisector of two segments of the triangle, say of AB and BC. Then find where those perpendicular bisectors meet. That intersection would be point D.
Since we don't have actual numbers or coordinates to work with, we can't go further and actually find out where point D is located in terms of (x,y) coordinates. However, you can still get a good idea using a compass and straightedge.
