Answer:
Then the determinant is 0.
Step-by-step explanation:
Determinant of ( 1 2 ) = 1*2 - 2*1 = 0
( 1 2 )
Answer: 
Step-by-step explanation:
A line that cuts a circle at two points is called "secant".
There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".
According the Intersecting Secant Theorem:
Having this expression, the next step is to solve for "d":
Use Distributive property:
Subtract 256 from both sides:
Divide both sides by 16:
The value of "d" rounded to the nearest tenth is:
I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25
What is the eqn of the line: y = mx + b becomes
14 = (8)(2.5) + b; find b:
14-20 = b = -6. Then, y = 8x - 6.
Now determine whether (12,1.25) lies on this line.
Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).
Why not work this problem out yourself using my approach as a guide?
Answer:
58
Step-by-step explanation:
Order of operations.
Additions and subtractions, in the order they appear, from left to right.
30 + 30 - 2 =
= 60 - 2
= 58
