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Fiesta28 [93]
2 years ago
5

Determine whether each conjecture is true or false given: n is a real number

Mathematics
1 answer:
JulijaS [17]2 years ago
8 0
For the conjecture to be true, the square of all real numbers must be positive or zero.
The square of all negative and positive numbers is positive, and the square of zero is zero, so the conjecture is true.
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Which of the following expressions can be factored by grouping? (Select all that apply.)
Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

3 0
3 years ago
Which of the following statements is true about an image after a dilation?
tino4ka555 [31]

Answer:

Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.

Step-by-step explanation:

hope this helps!

6 0
3 years ago
The spoke of wheel reaches from the center of the wheel to its rim if the circumstance of the wheel is 48 inches, how long is ea
user100 [1]

Answer:

7.6 in

Step-by-step explanation:

c = 2πr       Divide each side by 2π

r = C/2π     Insert values

r = 48/(2×3.14)

r = 48/6.28

r = 7.6 in

6 0
3 years ago
4.
Ganezh [65]

Answer:

B) No, they are not congruent.

Step-by-step explanation:

8 0
3 years ago
In my number, both digits are even numbers. The digit in the tens place is less than the digit in the ones place. The sum of the
valina [46]

Answer:

I think it's 24.

Step-by-step explanation:

2 and 4 are both even numbers. 2, the digit in the tens place is less than 4, the digit in the ones place. 2 + 4 = 6

Hope this helps!

8 0
3 years ago
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