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GaryK [48]
3 years ago
7

write a sequence of transformations that maps quadrilateral ABCD onto quadrilateral A"B"C"D" in the picture below

Mathematics
2 answers:
Assoli18 [71]3 years ago
8 0

Answer:  The answer is reflection across the Y-axis followed by a translation of 2 units downwards.

Step-by-step explanation:  We are to write a sequence of transformations that maps quadrilateral ABCD onto quadrilateral A"B"C"D" in the given figure.

First, we will reflect the quadrilateral ABCD along the Y-axis. The, the resulting figure, suppose A'B'C'D'will be just above the quadrilateral A"B"C"D" at a distance of 2 units.

To make the two figures coincide, we bring the quadrilateral A'B'C'D' 2 units below. Then, we will see that the quadrilateral A'B'C'D' will coincide with the quadrilateral A"B"C"D".

Thus, a sequence of transformations is

reflection across the Y-axis followed by a translation of 2 units downwards.

slavikrds [6]3 years ago
4 0
Reflection over the y axis Then a translation of 2 units down
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Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
3 years ago
Nick randomly selects a digit from the set { 0 , 1 , 2 , . . . , 9 } and a letter from the set { A, B, C, . . ., Z } . Matthew w
Alex787 [66]

Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)

There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.

There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.

If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately

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3 years ago
Write an equation.
schepotkina [342]

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

y\propto x

y=kx               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

10=k(8)

\dfrac{10}{8}=k

\dfrac{5}{4}=k

Putting k=\dfrac{5}{4} in (i), we get

y=\dfrac{5}{4}x

Therefore, the contestant of proportionality is k=\dfrac{5}{4} and the equation for the proportional relationship is  y=\dfrac{5}{4}x.

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What is th he sum of the first seven terms of the series -3+6-12+24-...?
ohaa [14]

Answer:

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Step-by-step explanation:

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6+24+96-3-12-48-192=

126-255=

-129

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