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3 years ago

Which transformation map the strip pattern onto itself?

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

From the given figure, the transformation the will map the strip unto itself is a horizontal translation and a glide refrection.

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Please help!! What Find the Error and explain why it is wrong!

Nata [24]

Answer:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. The real numerator in Step E should be:

$3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x$

Hence, Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

And further steps are described below:

Step D

$x^{2}-x+4 = 0$

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ( $a = 1$ , $b = -1$ , $c = 4$ )

$D = b^{2}-4\cdot a\cdot c$

$D = (-1)-4\cdot (1)\cdot (4)$

$D = -17$ (Conjugated complex roots)

Step E

$(x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0$

Step F

$x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936$

8 0

3 years ago

Help me plz with my hw

inna [77]

Circumference is found with the formula

c = pi × d

d is diameter and we will use 3.14 for pi.

The diameter is the measure across the center of the circle. In the first problem, you are given the radius, so we have to multiply by 2 to get the diameter. Then we can use the formula.

12.4 in × 2 = 24.8 in (that's the diameter)

c = pi × D
c = 3.14 × 24.8
c = 77.872 inches

circumference is 77.872 inches.

Try the other problems on your own. They are just like this one. Just make sure they are giving you the diameter and not the radius. Post if you have problems.

6 0

3 years ago

A company has two manufacturing plants with daily production levels of 5x +14 items and 3x-7 items, respectively. The first pla

Llana [10]

Answer:

The first plant produces 2x + 21 more items daily than the second plant.

Step-by-step explanation:

The daily production of the two plants are:

Plant 1: 5x + 14

Plant 2: 3x - 7

Compute the number of items first plant produces more than the second plant as follows:

$\text{Plant 1 - Plant 2}=5x+14-3x+7\\\\=2x+21$

Thus, the first plant produces 2x + 21 more items daily than the second plant.

3 0

3 years ago

A rental car company charges drivers a flat fee to rent a car plus $.25 for each mile they drive if a driver paid $100 and drive

Yakvenalex [24]

160(.25) + 100 = y

y= 140

5 0

3 years ago

The sales-tax rate was 8%.Benito bought a model train for $8.29. How much was the tax on the train?

astraxan [27]

T= 8/100 × $8.29

t= $66.32/100

t= $0.66 rounded to the nearest penny

6 0

3 years ago