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alexgriva [62]
2 years ago
11

Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?

Mathematics
1 answer:
White raven [17]2 years ago
7 0

A translation followed by a reflection

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<img src="https://tex.z-dn.net/?f=%5Chuge%5Csf%5Cunderline%7BQuestion%7D" id="TexFormula1" title="\huge\sf\underline{Question}"
vekshin1

{\qquad\quad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} }  = 34

[ add 2 on both sides ]

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} } + 2  = 34 + 2

[ form identity : a² + b² + 2ab ]

\qquad \sf  \dashrightarrow \:  {(x)}^{2}  +  { \bigg(\cfrac{1}{ {x}^{} } \bigg) }^{2}  + 2 \sdot(x)  \sdot  \bigg(\cfrac{1}{x} \bigg)  = 36

[ a² + b² + 2ab = (a + b)² ]

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{2}  = 36

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{}  =  \sqrt{ 36}

\qquad \sf  \dashrightarrow \: x  +  \cfrac{1}{x}    =   \pm 6

so, the value of required expression is 6

[usually positive value is considered, but if asked the value can be either positive or negative]

8 0
2 years ago
What is the slope of the line that passes through ( 1, -19 ) and ( -2,-7
Lapatulllka [165]

Answer:

-4

Step-by-step explanation:

We can find the slope when given two points by using the following

m = (y2-y1)/(x2-x1)

  = (-7--19)/(-2 -1)

   = (-7+19)/(-2-1)

   = 12/-3

   =-4

3 0
4 years ago
19 more than a number equals 45. What is the number?
lianna [129]
The number is 26, because 45-19=?
?+19=45
5 0
3 years ago
Read 2 more answers
3.3.31
NemiM [27]

Answer:

6 and 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y, then

x + y = 8 → (1)

5x + 4y = 38 → (2)

Rearrange (1) expressing x in terms of y by subtracting y from both sides

x = 8 - y → (3)

Substitute x = 8 - y into (2)

5(8 - y) + 4y = 38 ← distribute and simplify left side

40 - 5y + 4y = 38

40 - y = 38 ( subtract 40 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 8 - 2 = 6

The larger number is 6 and the smaller number is 2

6 0
4 years ago
Read 2 more answers
Find the product. (8m2 – 1)(8m2 + 1)
Schach [20]

Answer:

the answer is 64m^4 - 1

64m^4 + 8m^2 - 8m^2 - 1

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
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