A board is 3.5 m long. Four pieces, each.4 m long, are cut off. How much is left?​

The following rigid transformations are done on each figure:

We find two pictures, each with one case of rigid transformation done on a polygon. Rigid transformations are transformations done on geometric loci such that Euclidean distance at every point of the loci are conserved.

If we consider that the Euclidean distance is the radial distance with respect to the origin of the Cartesian plane, then we find the rigid transformation corresponding to each case:

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Answer:

2

Step-by-step explanation:

It rose 8 and ran 4 and slope is rise over run.

8/4 = 2

Answer:

2x-1+y

---------- (meant to be a fraction line)

2x+y+1

Answer:

[tex] \frac{2 x - 1 + y }{2x + y + 1} [/tex]

Step-by-step explanation:

In the expression:

[tex] \frac{4 {x}^{2} - {y}^{2} - 4x + 1 }{4 {x}^{2} - {y}^{2} - 2y - 1 } [/tex]

Reorder the terms

[tex]⟹\frac{(4 {x}^{2} - 4x + 1) - {y}^{2} }{4 {x}^{2} - {y}^{2} - 2y - 1 } [/tex]

Rewrite the expression

[tex]⟹ \frac{(2x {)}^{2} - 2 \times 2x + {1}^{2} - {y}^{2} }{ {4x}^{2} - {y}^{2} - 2y - 1 } [/tex]

Factor the expression

[tex]⟹ \frac{(2x - 1 {)}^{2} - {y}^{2} }{4 {x}^{2} - {y}^{2} - 2y - 1 } [/tex]

[tex]⟹ \frac{((2x - 1) + y)((2x - 1) - y)}{4 {x}^{2} - {y}^{2} - 2y - 1} [/tex]

Reorder terms

[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x}^{2} + ( - {y}^{2} - 2y - 1} [/tex]

Factor greatest common factors out

[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x}^{2} - ( {y}^{2} + 2y + 1) } [/tex]

Rewrite the expression

[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x}^{2} - ( {y}^{2} + 2y + {1}^{2}) } [/tex]

Factor the expression

[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x }^{2} - (y + 1)} [/tex]

Answer:

25u2−36v2

Step-by-step explanation:

Maybe I am right search the answer to check me

Answer:

(5u + 6v)(5u - 6v)

Step-by-step explanation:

25u^2 - 36v^2

25u^2 is the square of 5u.

36v^2 is the square of 6v.

This is the difference of two squares.

The difference of two squares follows this pattern.

a^2 - b^2 = (a + b)(a - b)

25u^2 - 36v^2 = (5u + 6v)(5u - 6v)

Answer:

x = 40

Step-by-step explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]

[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]

Cross multiply

[tex] 24(x - 25) = 9(x) [/tex]

[tex] 24x - 600 = 9x [/tex]

Subtract 24x from each side

[tex] - 600 = 9x - 24x [/tex]

[tex] - 600 = -15x [/tex]

Divide both sides by -15

[tex] 40 = x [/tex]

x = 40

Answer:

there is no solutions.

I hope this helps!

:D

The graph of the derivative of a quadratic function will always be a straight line.

A quadratic function is a a function of degree 2 or an equation in which the highest power of any variable in the equation is 2. The derivative of a function denotes the sensitivity to change of the given function with respect to a change in its argument.

When we differentiate any quadratic equation to find its derivative, we get a linear equation, or an equation with degree 1. The graph of a linear equation is a straight line. Thus, the graph of the quadratic equation will also be a straight line. This will hold for all quadratic functions.

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Answer:

20 and 21

Step-by-step explanation:

20.04 is the square root and is between 20 and 21

Answer:

multiply the length by the width, and then multiply that by the depth

Answer:

the answer is C

Step-by-step explanation:

Answer:

79.4

Step-by-step explanation:

Answer:

You know a calculator is a thing, right?

Anyways though, the answer is 79.4.

Step-by-step explanation:

Answer:

[tex]x = y = z = 20[/tex]

Step-by-step explanation:

Given

[tex]Volume = 8000cm^3[/tex]

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

[tex]S = 2(xy + xz + yz)[/tex]

Volume of a box is:

[tex]V = xyz[/tex]

Make z the subject

[tex]z = \frac{V}{xy}[/tex]

Substitute 8000 for V

[tex]z = \frac{8000}{xy}[/tex]

Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]

[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]

[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]

Expand:

[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]

[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]

Differentiate S w.r.t x

[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]

Differentiate S w.r.t y

[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]

Equate both differentiation to 0

[tex]2x - \frac{16000}{y^2} = 0[/tex]

Multiply through by [tex]y^2[/tex]

[tex]2xy^2 - 16000 = 0[/tex]

[tex]2xy^2 = 16000[/tex]

Divide through by 2

[tex]xy^2 = 8000[/tex] -- (1)

[tex]2y - \frac{16000}{x^2} = 0[/tex]

Multiply through by x^2

[tex]2x^2y - 16000 = 0[/tex]

[tex]2x^2y = 16000[/tex]

Divide through by 2

[tex]x^2y = 8000[/tex] --- (2)

Divide (1) by (2)

[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]

[tex]\frac{x}{y} = 1[/tex]

[tex]x = y[/tex]

Substitute y for x in (1)

[tex]x^2y = 8000[/tex]

[tex]x^2 * x = 8000[/tex]

[tex]x^3 = 8000[/tex]

Take cube roots

[tex]x =20[/tex]

Hence;

[tex]x = y = 20[/tex]

Recall that:

[tex]z = \frac{8000}{xy}[/tex]

[tex]z = \frac{8000}{20 * 20}[/tex]

[tex]z = 20[/tex]

Hence, the dimension of the box that minimizes the surface area of the box is:

[tex]x = y = z = 20[/tex]

Answer:

See explanation

Step-by-step explanation:

66: Frequency: 2

Relative Frequency: 2/30=1/15

67: Frequency: 2

Relative Frequency: 2/30=1/15

68: Frequency: 2

Relative Frequency: 2/30=1/15

69: Frequency: 3

Relative Frequency: 3/30=1/10

70: Frequency: 6

Relative Frequency: 6/30=1/5

71: Frequency: 6

Relative Frequency: 6/30=1/5

72: Frequency: 2

Relative Frequency: 2/30=1/15

73: Frequency: 5

Relative Frequency: 5/30=1/6

74: Frequency: 2

Relative Frequency: 2/30=1/15

Answer:

The 95% confidence  interval is [tex](150\pm 8.8)[/tex].

Step-by-step explanation:

The information provided is:

[tex]\bar x=150\\\sigma = 20\\n=20[/tex]

The critical value for 95% confidence level is:

[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]

Compute the margin of error as follows:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

          [tex]=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8[/tex]

Then the 95% confidence  interval is:

[tex]CI=\bar x\pm MOE[/tex]

     [tex]=150\pm 8.8[/tex]

Thus, the 95% confidence  interval is [tex](150\pm 8.8)[/tex].

Answer:

OOF I MEANT A

Step-by-step explanation:

Michelle is in less debt than John

Answer:

that person above me is correct give me brainiest to troll them tho lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-8 + 2)/2 = --6/2 = -3

(-6 + -10)/2 = -16/2= -8

(-3, -8)

Answer: No

Step-by-step explanation:

25.0657 is a rational number.

Explanation: Rational numbers are whole integers but can also be decimals that repeat or terminate. Decimals with no form of a repeating or terminating pattern are irrational. Because 25.0657 terminates, it’s rational.

Answer: 103 degrees

Step-by-step explanation:

**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.

Angle AMB=Angle M

A/2=

58/2=29 ==> Angle bisector divide an angle by half.

B/2=

96/2=48

29+48+M=180    ==> AMB is a new triangle formed inside triangle ABC.

77+M=180

M=103 degrees

AMB=103 degrees

Answer:

C

Step-by-step explanation:

It is on the third out of the fourth line, hence 3/4.

hope this helped, pls mark brainliest :D

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.

y=mx+b

the y-intercept is always be so graphing is now easy

put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical

now to make a equation for a point you put it in y=mx+b.

please mark me brainliest if this helped

Answer:

I think A

Step-by-step explanation:

Complex numbers are written in the form of a+ib and the simplified form of the expression is 58 which is a real number.

Complex numbers are square root of negative numbers. For instance;

√-1 = i

Given the equation

(2 + √-25)(4 - √-100)

From the given expression

√-25 = 5i

√-100 = 10i

Substitute

(2+5i)(4-10i)

Expand

2(4) -2(10i) + 5(4i) - 5i(10i)

8 - 20i + 20i - 50i²

8 - 50(-1)

8 + 50

58

Hence the simplified form of the expression is 58

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Answer: A) JL ≈ HF

SSS means you need to know all three sides are congruent

Answer:

The conversation factor is 16.387604