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Gnom [1K]
3 years ago
6

What value of c makes x2+6x+c a perfect square trimonial

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

9

Step-by-step explanation:

To solve this just take b (in this case 6x) divide it by 2 and then square it

which means that c=9

this will factor to (x+3)²

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One year, Mr James travels 8 x 10^3 miles for his job. The next year he traveled 1 x 10^4 miles. How many more miles did he trav
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Answer:

2 000 miles

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In the first year, Mr James travels 8 x 10^{3} miles = 8 000 miles.

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Comparing the distance covered in the two years,

10 000 miles - 8 000 miles = 2 000 miles

Therefore, Mr James travels 2 000 more miles in the second year than he did the first year.

Let's assume that Mr James conveys himself to his place of work all through the first year in his private car. But in the second year, there were some days in which the car was not available. So he had to go for his job by public transportation. This itch during those days, could cause an increase in the distance covered from his home to his place of work for the second year.

3 0
3 years ago
Indicate the method you would use to prove the two A's . If no method applies, enter "none".
Natalija [7]

Answer:

The method would use to prove that the two Δs ≅ is AAS ⇒ D

Step-by-step explanation:

Let us revise the cases of congruence:  

  1. SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  2. SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  3. ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  4. AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  5. HL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

In the given figure

∵ The two triangles have an angle of measure 30°

∵ The two triangles have an angle of measure 70°

∵ The two triangles have a side of length 10

∴ The two triangles have two equal angles and one equal side

→ By using rule 4 above

∴ The two triangles are congruent by the AAS rule

∴ The method would use to prove that the two Δs ≅ is AAS

8 0
3 years ago
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