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3 years ago

Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B“C“D“?

Mathematics

2 answers:

Svetlanka [38]3 years ago

6 0

Answer:

1. Reflection across the x-axis

2. Translation 6 units to the left and 1 unit up

Step-by-step explanation:

The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).

1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

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

then

$A(3,5)\rightarrow A'(3,-5)\\ \\B(6,5)\rightarrow B'(63,-5)\\ \\C(4,1)\rightarrow C'(4,-1)\\ \\D(1,1)\rightarrow D'(1,-1)$

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

$(x,y)\rightarrow (x-6,y+1),$

then

$A'(3,-5)\rightarrow A''(-3,-4)\\ \\B'(6,-5)\rightarrow B''(0,-4)\\ \\C'(4,-1)\rightarrow C''(-2,0)\\ \\D'(1,-1)\rightarrow D''(-5,0)$

Minchanka [31]3 years ago

3 0

Answer:

Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.

Step-by-step explanation:

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snow_lady [41]

He buys three cups of hot choclate cause 1.50*3= 4.50
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3 years ago

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BlackZzzverrR [31]

Answer:

27/8

Step-by-step explanation:

1.) 4-5/8

Convert element to fraction

2.) 4 x 8/8-5/8

3.) 4 x 8-5/8

4.) 27/8

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3 years ago

Which expression is equivalent to sec2x − 1?

hichkok12 [17]

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3 years ago

Inequality / Linear Systems Help - 30 points!

Sholpan [36]

They did not include the constraint for y ≤x+3 on the graph.

See attached picture with added constraint.

Using the 4 points that are given as the solution on the graph, replace t he x and Y in the original equation to solve and see which is the greater value.

Point (0,3) P = -0 +3(3) = 0+9 = 9

Point (1,4) P = -1 + 3(4) = -1 +12 = 11

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The correct solution to maximize P is (1,4)

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3 years ago

If A and B are independent events, P(A) = 0.25, and P(B) = 0.3, what is P(AB)?

Marrrta [24]

Answer:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

Step-by-step explanation:

For this case we have the following events A and B and we also have the probabilities for each one given:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

3 0

3 years ago