Hello :
<span>y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : </span><span>A) y=2x^2+12x+13 )</span>
<span>A midpoint divides a line or a segment into two equal parts. If D is the midpoint of the segment AC and C is the midpoint of segment DB, what is the length of the segment AB, if AC = 3 cm.</span>
If D is the midpoint of AC, then AD=DC
If C is the midpoint of DB, then DC=CB
If AC=3cm. then then DC-3/2=1.5
If DC=1.5 then CB is 1.5 also
AB=AC+CB
AB=3+1.5
AB=4.5
Answer:
4.2π cm ≈ 13.19 cm
Step-by-step explanation:
The length s of an arc of a circle with radius r and central angle θ (in radians) is ...
s = rθ
Here, we have ...
s = (5.6 cm)(3π/4) = 4.2π cm ≈ 13.19 cm
The number of permutations of the 25 letters taken 2 at a time (with repetitions) is:

The number of permutations of the 9 digits taken 4 at a time (with repetitions) is:

Each permutation of letters can be taken with each permutation of digits, therefore the total number of possible passwords is:
Tangent always meets radius at 90° angle.
Angle ABC = 90° so Pythagoras' theorem applies.
r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3