Answer:
A. (x,y) → (x-5,y-3)
Step-by-step explanation:
That's the answer
1) First we need to find midpoint M of segment AB.
... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)
Then vector AB is B-A = (8-2, 4-0) = (6, 4)
and vector PM is P-M = (3-5, 5-2) = (-2, 3)
The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.
The product of these slopes is -1, indicating these vectors are perpendicular.
2) Vector PA is P-A = (3-2, 5-0) = (1, 5).
Vector PB is P-B = (3-8, 5-4) = (-5, 1).
The lengths of both of these vectors are √(1²+5²) = √26.
Multiply the ratio by $5.35
racket : balls = 18×$5.35 : 1×$5.35 = $96.30 : $5.35
The racket costs $96.30.
Two or zero expresses the possible number of positive real solutions for the given polynomial equation.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation:

First, we put hit and trial method to find out the one solution. So, if we put x=4 then the above expression will become zero. We can also write the above expression as

We know the formula,
, make use of this, we get

So, 
Hence, from the above expression, we have three values of x as x= 4, 2.64 and -2.64