Answer:
Distance between mall and library is 6.32 miles.
Step-by-step explanation:
Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).
Since, distance between two points 
and 
is given by,
Distance = 
By this formula,
Distance between (2, 4) and (8, 4) will be,
Distance = 
= 
= 
= 6.32 miles
Answer:
200 √17
Step-by-step explanation:
distance between two points (x,y) and (x',y')
D² = (x' - x)² + (y' - y)²
D² = (500 - (-300))² + (400 - 200)² = 640000 + 40000 = 680000
D = √680000 = √4 x 17 x 10000 = 200 √17
Answer:
Step-by-step explanation:
Question
Comment
The f(x) notation means that were ever you see n x on the right you put the value of x.
The question is which point has x = - 3 and what is the associated y value?
You could do it this way, just so you understand it.
<h2>X Y</h2>
=========================
-3 2 <======
-1 0
1 1
3 -3
The answer must be the first one
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
Step-by-step explanation:
g(f(x))= 2(x + 1)
= 2x + 2
