Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?

Graph shows 2 triangles plotted on a coordinate plane. First triangle is at A(minus 3, 0), B(minus 2, 3), C(minus 1, 1). Second triangle is at A prime (0, minus 3), B prime (3, minus 2), C prime (1, minus 1).



A.
reflection across the line y = x
B.
reflection across the x-axis followed by a reflection across the y-axis
C.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
D.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
E.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x

Answer:

formula for the derivative of x*lnx is equal to 1 + lnx.

Step-by-step explanation:

we need to find derivative of f(x) = x*lnx,

so we take the limiting value as x approaches x + h.

To simplify this, we set x = x + h,

and we want to take the limiting value as h approaches 0.

Now according to first derivative formula we have;

f'(x) = [tex]\lim_{h \to \zer0}[/tex]f(x+h) - f(x)]/[(x+h) - x]

[tex]\lim_{h \to \zer0}[/tex][ ln (1 + x) ] / x = 1

ln a - ln b = ln(a/b)

Using the above formulas, we have

d(xlnx)/dx = [tex]\lim_{h \to \zer0}[/tex][(x+h) ln(x+h) - xlnx]/[(x+h) - x]

= [tex]\lim_{h \to \zer0}[/tex][x ln(x+h) + h ln(x+h) - xlnx]/h

= [tex]\lim_{h \to \zer0}[/tex][x ln(x+h) - x lnx + h ln(x+h)]/h

= [tex]\lim_{h \to \zer0}\\[/tex][x(ln(x+h) - lnx) + h ln(x+h)]/h

=[tex]\lim_{h \to \zer0}[/tex][x ln [(x+h)/x] + h ln(x+h)]/h

=[tex]\lim_{h \to \zer0}[/tex][x ln (1+h/x) + h ln(x+h)]/h

=[tex]\lim_{h \to \zer0}[/tex] [x ln (1+h/x)]/h + limh→0 ln(x+h)

= [tex]\lim_{h \to \zer0}[/tex][ ln (1 + h/x) ] / (h/x) + limh→0 ln(x+h)

= 1 + lnx --- [Using limit formula [tex]\lim_{h \to \zer0}[/tex] [ ln (1 + x) ] / x = 1]

Hence, we have proved that the formula for the derivative of x*lnx is equal to 1 + lnx.

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Answer:

Step-by-step explanation:

In this section, we will determine the differentiate of xlnx using the first principle of derivatives, that is, the definition of limits. To derive the derivative of f(x) = xlnx, we take the limiting value as x approaches x + h. To simplify this, we set x = x + h, and we want to take the limiting value as h approaches 0. We will use the following formulas to prove the result:

f'(x) = limh→0[f(x+h) - f(x)]/[(x+h) - x]

limx→0 [ ln (1 + x) ] / x = 1

ln a - ln b = ln(a/b)

Using the above formulas, we have

d(xlnx)/dx = limh→0[(x+h) ln(x+h) - xlnx]/[(x+h) - x]

= limh→0[x ln(x+h) + h ln(x+h) - xlnx]/h

= limh→0[x ln(x+h) - x lnx + h ln(x+h)]/h

= limh→0[x(ln(x+h) - lnx) + h ln(x+h)]/h

= limh→0[x ln [(x+h)/x] + h ln(x+h)]/h

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Answer:

8b + 9 = 7

Step-by-step explanation:

The solution to the given equation is 3±3√3/2

Given the quadratic equation below

2x^2−6x−9=0

Solve using the general formula to have:

a = 2

b = -6

c = -9

Substitute

x = -b±√b²-4ac/2a

x = -(-6)±√(-6)²-4(2)(-9)/2(2)

x = 6±√36+72/4

x = 6±√108/4

x = 6±6√3/4

x = 3±3√3/2

Hence the solution to the given equation is 3±3√3/2

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Answer:5

Step-by-step explanation:9 ft of red ribbon plus the 6 ft of green ribbon would make 15 feet of ribbon

1ft=3yds

Which mean you would have 5 yards of ribbon.(15 divided by 3=5)

===========================================

Explanation:

Use the formula

a & b/c = (a*c + b)/c

So,

9 & 3/5 = (9*5+3)/5 = (45+3)/5 = 48/5

The area of the rectangular pink border is of 400 cm².

The area of a rectangle of dimensions l and w is given by the multiplication of the dimensions, as follows:

A = lw.

Hence, the total area is given by:

A = 30 x 20 = 600 cm².

The area of the white region is given by:

A = (30 - 2 x 5) x (20 - 2 x 5) = 20 x 100 = 200 cm².

Hence the area of the pink border is:

600 cm² - 200 cm² = 400 cm².

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Step-by-step explanation:

.............................-

wait a second...............

The fraction that represents the part of a whole, which is shaded gold is 3/7.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.

Given is a big green rectangle divided into seven equal segments. From the image, it can be seen that 3 segments out of the seven are colored with gold. Therefore, we can write that -

Number of segments colored = n[c] = 3

Total segments = n[T] = 7

We know that a fraction defines a part of a whole. The green Rectangle is one whole, therefore it can be concluded that -

1 whole = 7 segments = n[T].

Number of segments colored = n[c] = 3.

Therefore, we can say that the fraction that represents the part of a whole, which is shaded gold is given by -

n[c] / n[T] = 3 / 7

Therefore, the fraction that represents the part of a whole, which is shaded gold is 3/7.

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[The given question is not complete. Please refer to the image attached for complete question]

Answer:750

Step-by-step explanation:

multiply the numbers

1250-250x2

1250-500

subract the two numbers and you will get

750

Answer:

$12.42

Step-by-step explanation:

$10 x 3 = $30.00

$30.00 - 17.58 = $12.42

The friend doesn't have a fever when the temperature increases by 1°C.

To convert Celcius to Fahrenheit,we have to multiply by 1.8 and add 32°.

This will be:

37°C = (37 × 1.8) + 32

= 98.6

When we add 1°, we will get 99.6.

Therefore, the friend doesn't have a fever when the temperature increases by 1°C.

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The highest point is 14799 ft. higher than the lowest point.

From the information, the highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level.

The difference between the points will be:

= 14291 - (-508)

= 14291 + 508

= 14799 feet

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Answer:

u didn't add any question so how are we gonna help

Answer:

71.815<701.815

Step-by-step explanation:

Answer:

in 40 minutes the man runs 10 kilometer

Answer:

I think its

f(x) = 1/10x + 10

Answer:-0.625

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

l = (w*3)+2

w = 6

area = ((6*3)+2) * 6

            ((18) + 2) * 6

               20        * 6

                     120

Answer:

32

Step-by-step explanation:

The given set has 5 elements, meaning it has 2⁵ = 32 subsets.

This means the cardinality of the desired set is 32.

Answer:

[tex]250 \leqslant 57m[/tex]

[tex]57m \: \geqslant 250[/tex]

Step-by-step explanation:

Minimum is a word meaning greater than or equal to.

Hope this helps!

If you have anyother question feel free to ask!

Answer:

x · 0.28 = 13.44

Equation: X multiplied by 0.28 = 13.44.

How to solve: Divide 13.44 ÷ 0.28 = 48.

Multiply to check. 48 x 0.28 = 13.44.

Give me a crown.

There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box

Purchases of both small and large boxes total:

two little boxes.

six huge boxes

Two equations must be created with the given data in order to answer the unknowns:

150X + 400Y = 2700 (the price of the boxes and the total number of nails, where X is the small boxes and Y the large boxes)

Y = 3X

Equation one is then changed to equation 2, and variable X is eliminated:

150X + 400 (3X) = 2700

150X + 1200X = 2700 1350X = 2700 X = 2700/1350 X = 2

In order to determine the number of big boxes, equation 2's value of X is finally changed:

Y = 3X

Y = 3

Y = 6

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Answer:

LCD = 12

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Here is one possible mistake:

Let y= u = ( 2ax^2 +c)^2          expand

        4 a^2 x^4  + 4 a x^2 c   + c^2

  dy/ dx   then becomes  

16 a^2 x^3 + 8 a x c  <====== you have  8 a^2x^3 + 8axc  

   MAYBE ??

[tex]y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}[/tex]

By the product rule,

[tex]\dfrac{dy}{dx} = \dfrac{d(2ax^2+c)^2}{dx} (bx^2-cx)^{-1} + (2ax^2+c)^2 \dfrac{d(bx^2-cx)^{-1}}{dx}[/tex]

For the first derivative on the right side, let [tex]u=2ax^2+c[/tex]. Then by the chain rule,

[tex]\dfrac{d(2ax^2+c)^2}{dx} = \dfrac{du^2}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{du^2}{du}\dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2u \dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2(2ax^2+c) \dfrac{d(2ax^2+c)}{dx}[/tex]

and by the power rule, this reduces to

[tex]\dfrac{d(2ax^2+c)^2}{dx} = 2 (2ax^2+c) (4ax) \\\\ ~~~~~~~~~~~~~~~~~~ = 8ax (2ax^2 + c)[/tex]

For the other derivative, let [tex]v = bx^2-cx[/tex]. Then

[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = \dfrac{dv^{-1}}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = \dfrac{dv^{-1}}{dv}\dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -v^{-2} \dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -(bx^2-cx)^{-2}\dfrac{d(bx^2-cx)}{dx}[/tex]

which reduces to

[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = -(bx^2 - cx)^{-2} (2bx - c)[/tex]

So one expression for the derivative we want is

[tex]\dfrac{dy}{dx} = 8ax (2ax^2 + c) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2 - cx)^{-2} (2bx - c)[/tex]

Step-by-step explanation:

(1)

FP = FN

makes the triangle FNP an isoceles triangle (both legs have the same length). and that means both angles of these equal legs with the third side (PN) must be equal.

therefore, the angle N = P2 = 56°.

and we know that the angle P = P1 + P2 = 68 + 56 = 124°.

LE = LM

makes the triangle ELM an isoceles triangle. because of that, both angles of these 2 legs with the third side (ME) are equal.

therefore, M1 = E1 = 62°.

the fact that the sum of all angles in a triangle is always 180° gives us the angle L

180 = 62 + 62 + angle L = 124 + angle L

56° = angle L

because angles L and P are supplementary (that means together they have 180°, which is true as 124 + 56 = 180), it means that LM || PN. as this pair of supplementary angles means that their connecting line LP is intersecting the lines LM and PN at the same angles, which makes LM parallel to PN.

and as angle N = angle L (56°), this also proves that MN is parallel to LP (as now the line PN intersects LP and MN at the same angles and N and P are supplementary angles).

(2)

with the proof in (1) that we have 2 sets of parallel sidelines (LP || MN, LM || PN), this makes LMNP per basic definition a parallelogram.

Answer:

Well the IMC 2014 is

IMC 2014 + hMc

Answer:

- 0.347
2.153

Step-by-step explanation:

Answer:

- 0.347 and 2.153

Hope this helps :)

Explanation below.

Step-by-step explanation:

The lines on top of the decimals tell that the decimal is repeating, and both - 0.347 and 2.153 have lines so they are repeating decimals.

Answer:

c

Step-by-step explanation:

7x²-36x+5= 7x²-x-35x+5

=x(7x-1)-5(7x-1)

=(7x-1)(x-5)

Answer:

#1) & #5) are the rates that have the same constant rate of change as Micheal's rate.