Answer:
675
Step-by-step explanation:
This is going to be really hard for you to understand unless you know factorials.
The first four letters is a combination out of 6 letters; we call it 6 choose 4. As you may know, factorial is the multiplication of a number and it's previous digits. For example, 3! = 1 x 2 x 3
The 6 choose 4 is (6!/4!2!) = (5x6)/2 = 15
The 10 choose 2 is (10!/2!8!) = (9x10)/2 = 45
Then you multiply both as they're independent:
15 x 45 = 675 serial numbers
8x = 4x-32
8x - 4x = -32
4x = -32
x = -32/4
x =-8
the answer is (x+9)(x-12)
Answer: #3) 6 feet.
#4) 10 centimeters. #5) JK. #6) V. #7) SV
Step-by-step explanation: look for the corresponding orders between the two shapes.
Angles and segments are written in order so that they correspond to the congruent angles and segments of the corresponding shape. Example: in question #2, triangle PQR is congruent to triangle STU. This means that P in triangle one corresponds to S in triangle 2. Q corresponds to T and R corresponds to U. This is true for any shape that is congruent.
The answer is 162.6 cm.
We know that <span>1 in. = 2.54 cm.
Make a proportion. If 1 in is 2.54 cm, 64 in are how many cm:
1 in : 2.54 cm = 64 in : x
x = </span>2.54 cm · 64 in ÷ 1 in = 162.56 cm ≈ 162.6 cm