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3 years ago

Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

enot [183]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

Given system:

2x - y = - 2
15x - 2y = - 7

Solve by elimination, multiply the first equation by - 2 and add up the equations:

-2(2x - y) + 15x - 2y = - 2(- 2) - 7
-4x + 2y + 15x - 2y = 4 - 7
11x = - 3
x = - 3/11

Find the value of y:

2( - 3/11) - y = - 2
-6/11 - y = - 2
y = 2 - 6/11
y = 1/11

Solution is:

( - 3/11, 1/11)

None of the answer choices is matching this solution. Something must be wrong with the given equations.

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koban [17]

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3 years ago

Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)

Romashka [77]

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

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3 years ago

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Alenkasestr [34]

Slope: -3

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3 years ago

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What is the number between 8 and 21

I am Lyosha [343]

Answer:

9,10,11,12,13,14,15,16,17,18,19 and 29

Step-by-step explanation:

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2 years ago

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Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.

Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

$(x,y)\rightarrow (-y,x)$

The corresponding sides of image A"B"C" are smaller than the preimage ABC.

$k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}$

Since k<0, therefore the transformation shows the reduction. The dilation rule is

$(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)$

$A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)$

$B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)$

$C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)$

Option B is correct.

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3 years ago

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