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Thepotemich [5.8K]
3 years ago
8

Can someone help me out, please?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0
Rectangle, triangle, and I believe square
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Determine whether the lines are parallel, intersect, or coincide. x-5y=0, y+1=1/5(x+5)
MAXImum [283]

<u>Answer-</u>

<em>The lines are two </em><em>coinciding lines</em><em> or the </em><em>same lines</em><em>.</em>

<u>Solution-</u>

The given line equations are

the first one,

\Rightarrow x-5y=0  

the second one,

\Rightarrow y+1=\dfrac{1}{5}(x+5)\\\\\Rightarrow 5y+5=x+5\\\\\Rightarrow 5y=x\\\\\Rightarrow x-5y=0

As we know two line equations A_1x+B_1y+C_1=0 and A_2x+B_2y+C_2=0 will be,

  1. Parallel if, \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}
  2. Coincide if, \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}
  3. Intersect if, \dfrac{A_1}{A_2}\neq \dfrac{B_1}{B_2}

As here,

\Rightarrow \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}

\Rightarrow \dfrac{1}{1}=\dfrac{-5}{-5}

(C₁ and C₂ aren't considered as they are 0)

Therefore, the lines are two coinciding lines or the same lines.

4 0
3 years ago
What’s the correct answer for this question?
Slav-nsk [51]

Answer:

A.

Step-by-step explanation:

In the attached file

7 0
2 years ago
One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​
iogann1982 [59]

Answer:

22 divided 5 I would think

Step-by-step explanation:

4 0
2 years ago
Find the median of the following data:
Nezavi [6.7K]

Answer:

c is the answer

Step-by-step explanation:

4 0
3 years ago
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You triple your account balance by making a deposit. Then you withdraw $28.50 from your bank account. Now your account is overdr
Crazy boy [7]

Answer:

Your original account balance before you made the deposit is $6

Step-by-step explanation:

Let x = your original account balance.

You triple your account balance by making a deposit. This means

New account balance = 3 × x = 3x

Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.

Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,

3x - 28.5 = - 10.5

3x = -10.5 + 28.5 = 18

x = 18/3 = 6

Your original account balance before you made the deposit is $6

8 0
2 years ago
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