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Troyanec [42]
3 years ago
11

Y = -2x + 1 and y = x - 2 A) (-1, -1) B) (-1, 1) C) (0, 2) D) (1, -1)

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

D

Step-by-step explanation:

y=-2x+1-----(1)

y=x-2---------(2)

sub;eq(2)in eq(1)

x-2=-2x+1

x+2x-2-1=0

3x-3=0

3x=3

x=1

sub; x=1 in eq(2)

y=x-2

y=1-2

y=-1

solution set is (1,-1)

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<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
If the number of bacteria in a
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Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

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Step-by-step explanation:

Hope it helps :)

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How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size and the height is quadrup
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Let us assume the following values:
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Changes:
radius is reduced to 2/9 of its original size = 9 x 2/9 = 2
height is quadrupled = 10 x 4 = 40

Volume = π r² h
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Original volume = 2543.40   V.S.  Volume after change = 502.40

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