Ask question

Ask question

All categories

3 years ago

8

Square RSTU is translated to form R'S'T'U', which has vertices R'(–8, 1), S'(–4, 1), T'(–4, –3), and U'(–8, –3). If point S has

coordinates of (3, –5), which point lies on a side of the pre-image, square RSTU?
A.(–5, –3)
B.(3, –3)
C.(–1, –6)
D.(4, –9)???????????????

2 answers:

MrMuchimi3 years ago

8 0

The answer to this question is C

zalisa [80]3 years ago

6 0

Step 1

<u>Find the rule of the translation of the pre-image to the image</u>

we know that

the point S has coordinates of ( $(3,-5)$

the point S' has coordinates of ( $(-4,1)$

so

a) the rule of the translation of the pre-image to the image is

$(x,y)------> (x-7,y+6)$

Step 2

<u>Find the rule of the translation of the image to the pre-image</u>

a) the inverse rule of the translation of the image to the pre-image is

$(x',y')------> (x'+7,y'-6)$

Step 3

<u>Find the coordinates of the vertices of the pre-image</u>

Applying the inverse rule of the translation of the image to the pre-image

a) Point $R'(-8,1)$

$R(-8+7,1-6)=R(-1,-5)$

b) Point $T'(-4,-3)$

$T(-4+7,-3-6)=T(3,-9)$

c) Point $U'(-8,-3)$

$U(-8+7,-3-6)=U(-1,-9)$

Step 4

Using a graphing tool

graph the points of the pre-image and the points A,B,C and D to determine the solution of the problem

we have

$R(-1,-5) \\S(3,-5)\\T(3,-9)\\U(-1,-9)\\ \\A(-5,-3)\\B(3,-3)\\C(-1,-6)\\D(4,-9)$

see the attached figure

therefore

<u>the answer is the option </u>

$C(-1,-6)$

You might be interested in

Please help solve this question

Rasek [7]

95141 1404 393

Answer:

arc BC: 8.55 cm
chord BC: 8.03 cm

Step-by-step explanation:

The length of an arc that subtends central angle α will be ...

s = rα . . . . where α is in radians

The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...

s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC

__

For central angle α and radius r, the chord subtending the arc is ...

c = 2r·sin(α/2)

c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB

5 0

3 years ago

Which polynomial is factored completely

Ket [755]

Answer: The correct option is c.

Explanation:

Reason for correct option:

$3x(9x^2+1)$

This expression cannot be factored further because $(9x^2+1)$ is the complete factor. Therefore the option c is correct.

Reason for incorrect option:

$5x^2-17x+14=5x^2-10x-7x+14=5x(x-2)-7(x-2)=(x-2)(5x-7)$

Since the given expression can be factored further therefore the option d is incorrect.

$4(4x^4-1)=4((2x)^2-1)=4(2x^2-1)(2x^2+1)$

Since the given expression can be factored further. Therefore the option a is incorrect.

$2x(y^3-4y^2+5y)=2xy(y^2-4y+5)$

Since the given expression can be factored further. Therefore the option b is incorrect.

4 0

4 years ago

Read 2 more answers

Write the standard form of the line that passes through (-1,-3) and (2,1).

kobusy [5.1K]

Answer:

Step-by-step explanation:

$\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\$

$\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\$

Convert equation to standard form

$y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5$

5 0

4 years ago

What number should be placed in the box to help complete the division calculation?

Tomtit [17]

Answer:

this goes there 850

Step-by-step explanation:

plus th anwser is 155 R0

6 0

3 years ago

Read 2 more answers

Disk requests come in to the disk driver for cylinders 10, 22, 20, 2, 40, 6, and 38, in that order. A seek takes 6 msec per cyli

m_a_m_a [10]

Answer:

a) 876 ms

b) 360 ms

c) 348 ms

Step-by-step explanation:

a) When using the First-come, first serve order, the starts at the initial cylinder and is served in the same order as it arrives.

For First-come, first serve, the order is served from (20), 10, 22, 20, 2, 40, 6, and 38.

Seek time = 10 + 12 + 2+ 18 + 38 + 34 + 32 = 146 cylinder

The request uses 146 cylinders, therefore the seek time = 146 cylinder * 6 ms/cylinder = 876 ms

b) When using the Closest cylinder next the request starts at the initial cylinder and is served using the shortest movement from current position.

For Elevator algorithm, the order is served from (20), 20, 22, 10, 6, 2, 38, 40

Seek time = 0 + 2 + 12+ 4 + 4 + 36 + 2 = 60 cylinder

The request uses 146 cylinders, therefore the seek time = 60 cylinder * 6 ms/cylinder = 360 ms

c) When using the Elevator algorithm the request starts at the initial cylinder and moves upwards, then reverses direction.

For Closest cylinder next, the order is served from (20), 20, 22, 38, 40, 10, 6, 2

Seek time = 0 + 2 + 16+ 2 + 30 + 4 + 4 = 58 cylinder

The request uses 146 cylinders, therefore the seek time = 58 cylinder * 6 ms/cylinder = 348 msa) When using the First-come, first serve order, the starts at the initial cylinder and is served in the same order as it arrives.

For First-come, first serve, the order is served from (20), 10, 22, 20, 2, 40, 6, and 38.

Seek time = 10 + 12 + 2+ 18 + 38 + 34 + 32 = 146 cylinder

The request uses 146 cylinders, therefore the seek time = 146 cylinder * 6 ms/cylinder = 876 ms

b) When using the Closest cylinder next the request starts at the initial cylinder and is served using the shortest movement from current position.

For Elevator algorithm, the order is served from (20), 20, 22, 10, 6, 2, 38, 40

Seek time = 0 + 2 + 12+ 4 + 4 + 36 + 2 = 60 cylinder

The request uses 146 cylinders, therefore the seek time = 60 cylinder * 6 ms/cylinder = 360 ms

c) When using the Elevator algorithm the request starts at the initial cylinder and moves upwards, then reverses direction.

For Closest cylinder next, the order is served from (20), 20, 22, 38, 40, 10, 6, 2

Seek time = 0 + 2 + 16+ 2 + 30 + 4 + 4 = 58 cylinder

The request uses 146 cylinders, therefore the seek time = 58 cylinder * 6 ms/cylinder = 348 ms

3 0

3 years ago