Answer:
A. This conclusion was drawn using the law of detachment
Step-by-step explanation:
Definition:
Law of Detachment
If p equals q and p is also true. Then q is true.
if a number is a whole number, then it is an integer.
3 is a whole number (true statement) , so it 3 is an integer. (must be true)
To find the reciprocal of a mixed number, we first convert it to an improper fraction. 1 1/5 = 5/5 + 1/5 (remember that 1 whole would have the same numerator and denominator) = 6/5.
The reciprocal is this number flipped, so 5/6.
To find the sum of 1.25 and -1 3/4, we will convert the decimal to a fraction. 0.25 is read as "twenty-five hundredths," so the fraction would be 25/100. This will simplify to 1/4, so 1.25 = 1 1/4.
1 1/4 + -1 3/4 = -2/4 = -1/2.
Now we add 5/6 + -1/2:
Find the least common denominator (LCD). 6 is the first number that both 6 and 2 will divide into evenly. This gives us 5/6 + -3/6 (we multiply 2 by 3 to get 6, so we multiply the numerator, -1, by 3 as well). This equals 2/6 which simplifies to 1/3.
Assuming that these are seperate equations:
<h3>Problem 1: x^2-5x-6</h3><h3>Problem 2: x^2+3x-40</h3><h3>Problem 3: x^2-7x-30</h3>
Problem 1:
1) Use the sum-product pattern.
x² - 5x - 6
x² + x - 6x - 6
2) Common factor from the two pairs.
x² + x - 6x - 6
x (x + 1) - 6 (x + 1)
3) Rewrite in factored form.
x (x + 1) - 6 (x + 1)
(x - 6) (x + 1) ----> Answer
Problem 2:
1) Use the sum-product pattern.
x² + 3x - 40
x² + 8x - 5x - 40
2) Common factor from the two pairs.
x² + 8x - 5x - 40
x (x + 8) - 5 (x + 8)
3) Rewrite in factored form.
x (x + 8) - 5 (x + 8)
(x - 5) (x + 8) ----> Answer
Problem 3:
1) Use the sum-product pattern.
x² - 7x - 30
x² + 3x - 10x - 30
2) Common factor from the two pairs.
x² + 3x - 10x - 30
x (x + 3) - 10 (x + 3)
3) Rewrite in factored form.
x (x + 3) - 10 (x + 3)
(x - 10) (x + 3) ----> Answer
Cheers,
ROR
Answer:
24.c
Step-by-step explanation:
the a sweer is 24.3 ..
Answer:
1/3
Step-by-step explanation:
1 ft = 12 inches
4/12 = 1/3