Answer:
x²-9=x²-3²=(x+3)(x-3)
Step-by-step explanation:
use formula
a²-b²=(a+b)(a-b)
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
Answer:
can I get a hiaaa
How was the government able to make children go to residential school?
Answer:
-82, -83, -84
Step-by-step explanation:
Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:
first integer: x
second integer: x + 1
third integer: x + 2
x + x + 1 + x + 2 = -249
Combine like terms: 3x + 3 = -249
Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3 or 3x = -252
Divide both sides by 3: 3x/3 = -252/3
Solve for x: x = -84
first integer: -84
second integer: -84 + 1 = -83
third integer: -84 + 2 = -82
The answer is (0,6) because you go 3 left and 2 up making that the new point
