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natta225 [31]
3 years ago
11

1) What are like terms? How can you identify like terms?

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

i can answer 2, you divide each side by the same number as many times as you can. learned that in middle school I think

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What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.
Mandarinka [93]

k, n - integers  

2k+1  - an odd integer

2n+1  - another odd integer

The product of them:

  (2k + 1)(2n + 1) =

= 4kn + 2k + 2n + 1 =

= 2(2kn + k + n) + 1

The product of integers (2kn) is integer

and the sum of them (2kn+k+n) also is integer

So  (2k + 1)(2n + 1)  = 2(2kn + k + n) + 1  is an odd integer

4 0
3 years ago
Identify the property that the statement illustrates
oksian1 [2.3K]

Answer:

6 units away from 0.

Step-by-step explanation:

when move to 6 you count the units.

5 0
3 years ago
Jakob is working on his math homework. He decides that the sum of two rational numbers is
xeze [42]

Answer:

yes because  rational numbers are   rational. they stay the same

Step-by-step explanation:

7 0
3 years ago
A hawk can travel at a speed of 120 miles per hour. How long would it take to travel 840 miles without stopping?​
Scilla [17]

Answer:

7 hours

Step-by-step explanation:

120 x 7 = 840

8 0
2 years ago
Read 2 more answers
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