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melamori03 [73]
3 years ago
13

Determine whether the lines are parallel, intersect, or coincide. x-5y=0, y+1=1/5(x+5)

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

<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.

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7 0
2 years ago
Please help out and if you know help me show work ??
Ghella [55]

Answer:  14

<u>Step-by-step explanation:</u>

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

1st number: x

2nd number: x + 2

3rd number: x + 4

1st number + 2nd number + 3rd number = Sum

      (x)        +      (x + 2)       +      (x + 4)      =  48

                                                      3x + 6   =  48

                                                      3x          = 42

                                                        x           = 14

1st number: x           ⇒ x = 14

2nd number: x + 2   ⇒ 14 + 2 = 16

3rd number: x + 4    ⇒ 14 + 4 = 18

<u>Check:</u>

14 + 16 + 18 = 48 \checkmark

 

7 0
2 years ago
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Answer:

I know (B) is correct, the median is the best measure of center if t distribution is Skewed Left

Step-by-step explanation:

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Step-by-step explanation:

2x²-98=0

2x²=98

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x=root 49

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3 0
3 years ago
A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass
IRINA_888 [86]
Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

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1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!
7 0
3 years ago
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