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Naddika [18.5K]
2 years ago
14

Find the domain and range of the graph

Mathematics
1 answer:
ozzi2 years ago
8 0

9514 1404 393

Answer:

  • domain: [-6, -1)
  • range: [-5, 4]

Step-by-step explanation:

You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...

  [-6, -1)

__

The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...

  [-5, 4]

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In triangle ABC shown below, DE is parallel to AC. The following two-column proof with missing statements and reasons proves tha
lianna [129]

Answer:

The correct option is;

C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality

Step-by-step explanation:

The two column proof can be written as follows;

Statement,                         Reason

1. \overline{DE} \parallel \overline{AC},                           Given

2. \overline {AB} is a transversal ,         Conclusion from statement 1.

We note that ∠BDE  and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.

Therefore, we have;

3. ∠BDE ≅∠BAC,                 Corresponding Angles Postulate

Also

4. ∠B ≅ ∠B,                           Reflexive Property of Equality

In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,

From ∠BDE + ∠B + ∠BED = 180°

∠BAC + ∠B +  ∠BCA = 180°

Therefore, ∠BED = ∠BCA Substitution property of equality

Which gives;

5, ΔABC ~ ΔDBE,          Angle Angle Similarity Postulate

6. BD/BA = BE/BC,      Converse of the Side-Side-Side Similarity Theorem

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Is the 8 and 21 are the coprime number<br>​
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Answer:

Coprime numbers (relatively prime). Numbers have no common prime factors.

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P=7w - 5y<br> (c) Find the value of P when w = 2 and y = 4
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Answer:

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Step-by-step explanation:

w =2 y =4

p=7w - 5y

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p= 14 - 20

p= -6

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3 years ago
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Answer:

Step-by-step explanation:

The interest is not compounded = simple interest

Find the interest gained:

900 * 10%

Then add it to the total

which is, 900

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900 + 900 * 10%

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Answer: (2.5,0.5)

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Shows it on the graph

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