If a translation of (x, y) + (x +6, y-10) is applied to
figure ABCD, what are the coordinates of D'?
B
O (-5,-2)
O (1, -12)
(4, -15)
O (-9, 6)
6
5
-32
2
3
х
D
с

Answers

Answer 1
If (x,y) is (x+6,y-10)
So, ( -5,-2) is (-5+6, 2-10) will be ur second option
Answer 2

The coordinates of the point D of the rectangle after the translation is given by D' ( 1 , -12 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the coordinates of the rectangle be ABCD

Now , the coordinate of the point D be D ( -5 , -2 )

And , the translation rule is ( x , y ) → ( x + 6 , y - 10 )

So , the point after translation be D'

where D' = D ( -5 + 6 , -2 - 10 )

The coordinates of D' = D' ( 1 , -12 )

Hence , the coordinates after translation is  D' ( 1 , -12 )

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Related Questions

simplify 40+8×2-8×3​

Answers

Answer:

32

Step-by-step explanation:

Use the correct order of operations.

40 + 8 × 2 - 8 × 3​ =

= 40 + 16 - 24​

= 56 - 24

= 32

Factor 13x2 + 13x + 9x + 9 = 0​

Answers

Answer:

[tex]\Large \boxed{x=\frac{-9}{13} \ \ \mathrm{or} \ \ x = -1}}[/tex]

Step-by-step explanation:

[tex]13x^2 + 13x + 9x + 9 = 0[/tex]

Factor the expression.

[tex]13x(x+1)+9(x+1)=0[/tex]

Take (x + 1) as a common factor.

[tex](13x+9)(x+1)=0[/tex]

Set factors equal to 0.

First possibility:

[tex]13x + 9 = 0[/tex]

[tex]13x=-9[/tex]

[tex]\displaystyle x=\frac{-9}{13}[/tex]

Second possibility:

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

A square dullhouse has an area of 361 square inches. How long is each side of the dullhouse

Answers

Answer:

19 inches

Step-by-step explanation:

Area of a square = s^2

s^2 = 361

s = 19

On a number​ line, suppose the coordinate of A is​ 0 and AR=21. What are the possible coordinates of the midpoint of AR?

Answers

Answer:

The possible coordinates of the midpoint are -10.5 and 10.5

Step-by-step explanation:

The given parameters are;

The coordinate of A = 0

The distance from A to R which is the same as AR = 21

Given that R is on the number line, we have;

When R is on the left side of A, which is = 0 - 21 = -21, we have;

The coordinates of the midpoint, M from -21 to 0 is given as follows;

M = (A + R)/2 = (0 - 21)/2 = -10.5

When R is on the right side of A, which is = 21 - 0 = 21, we have;

The coordinates of the midpoint, M from 21 to 0 is given as follows;

M = (A + R)/2 = (0 + 21)/2 = 10.5

Therefore, the possible coordinates of the midpoint are -10.5 and 10.5.

help me pretty plzzzzzzzzzzzzz

Answers

Answer:

A) A

Step-by-step explanation:

The square root of 7 is just over two and a half.

Answer:

A. A

Step-by-step explanation:

Step 1: Find closest perfect roots near √7

We know that √4 = 2

We also know that √9 = 3

√7 is between √4 and √9, so √7 is between 2 and 3.

Therefore, our answer is A.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of NOT drawing a cherry?

Answers

Answer:

The probability is 23/30, .77, or 77 percent.

Step-by-step explanation:

Add up all the non cherry options, then put them over the total, 30. You would get 23/30, or .7666666666..., which is also known as about 77 percent. So the probability is 23/30, .77, or 77 percent.

Refrer to the attached picture on which question is written. This question will be done according to Pathagoras theorem. This question answer is √a2-25 . I want step to step explanation.

Answers

i got something different

Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to explain how you got the slope, y-intercept, and inequality.

Please Help, I Really Need The Answer To This Question

Answers

Answer: y < (-1/4)*x + 1.

Step-by-step explanation:

The first thing you need to notice is that the line is not solid and that the shaded part is under the line, so our inequality will be strictly smaller than a linear equation.

y < a*x + b.

Now let's find the equation of the line.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In the graph, we can see that the line passes through the points: (0,1) and (4. 0)

Then the slope is:

a = (0 - 1)/(4 -0) = -1/4.

Now we know that the line is:

y = (-1/4)*x + b

To find the value of b, just replace the value of one of the points in the equation.

We know that (0,1) is a solution of the equation (x= 0, y = 1)

1 = (-1/4)*0 + b = b

1 = b

Then our inequality is:

y < (-1/4)*x + 1.

7 t-shirt cost $28. Calculate the cost of 1 t-shirt​

Answers

Answer:

One tshirt is $4

Step-by-step explanation:

28/7= 4

Answer:

$4.

Step-by-step explanation:

If 7 shirts equals 28 in total then just do 28/7 = 4.

4x7 = 28.

Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16

Answers

Answer:

D. 16

Step-by-step explanation:

[tex] GH^2 = GF \times GE[/tex]

[tex] 12^2 = 9 \times (9+x - 2)[/tex]

[tex] 144= 9 \times (7+x)[/tex]

[tex] \frac{144}{9}= (7+x)[/tex]

[tex] 16= 7+x [/tex]

[tex] 16-7=x [/tex]

[tex] 9=x [/tex]

GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2

GE = 16

Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. The
lengths of the fish, in inches, are shown.
9, 12, 10, 8, 11, 12, 13,6
Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?
OA. 1.875 inches
OB
10.5 inches
Ос.
3.5 inches
OD
10.125 inches

Answers

Answer:The answer is OD 10.125

Step-by-step explanation:

Add all the lengths of the fish (6+8+9+10+11+12+12+13) = 81

Divide by 8

81/8

=10.125

Help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Choice A

x < -3 or x > 1

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

Work Shown:

Solve the first inequality for x

3x+2 < -7

3x < -7-2 .... subtract 2 from both sides

3x < -9

x < -9/3 .... divide both sides by 3

x < -3

Do the same for the second inequality

-4x+5 < 1

-4x < 1-5

-4x < -4

x > -4/(-4) .... note the inequality sign flips

x > 1

So either x < -3 or x > 1. This points to choice A as the answer.

f(13) = -3x+ 7
What’s the answer?

Answers

Answer:

3.3

Step-by-step explanation:

7-7=0

-3+-7=-10

10 divided by 3 is 3.3

If Q is the midpoint of PR, find the coordinates of R if P(l 1, -2) and Q(4, 3).

Answers

Answer:

Step-by-step explanation:

P(1, -2) ;Q(4,3)

Let R(x1,y1)

Midpoint=[tex](\frac{x_{1}+x_{2}}{2},\frac{y_1+y_2}{2})\\[/tex] = (4,3)

[tex](\frac{1+x_1}{2},\frac{-2+y_1}{2})=(4,3)\\[/tex]

Compare x coordinates and y coordinates

[tex]\frac{1+x_1}{2}=4 ; \frac{-2+y_2}{2}=3[/tex]

1+x1 = 4*2   ; -2+y2 = 3*2

1+x1 = 8       ;  -2 +y2 = 6

   x1= 8-1     ;        y2 = 6+2

    x1 = 7     ;         y2 = 8

R(7 , 8)

Write an equation in slope intercept form for the graph (-3,3) (3,-1)

Answers

Answer:

y = (-3/2)x + 7/2

Step-by-step explanation:

Find the slope of this line first.

As you move from the first point to the second, x (the 'run') increases by 6 and y (the 'rise') decreases by 4 (from 3 to -1).  Thus the slope is

m = rise/run = -6/4 or -3/2.

Find b for this situation, using y = mx + b, m = -3/2, y = -1 and x = 3:

-1 = (-3/2)(3) + b.  Multiply all three terms by 2:

2(-1) = -9 + 2b, or 7 = 2b.  Then b = 7/2, and the desired equation is

y = (-3/2)x + 7/2

The arc length theta shown below is 15 feet

Answers

Answer:

Part I: 2πr*X/360

Part II: 2.5 radians

Part III: 143.24°

Step-by-step explanation:

Part II: and Part III: 2π(6)*x/360 = 15, x = 143.24°

143/360 = x/2π, x = 2.5 radians

Enter the value for x that makes the given equation true.
2(-2x - 4) + 6 = 5 – 3(x + 1)

Answers

Answer:

Step-by-step explanation:

-4x - 8 + 6 = 5 -3x - 3

-4x - 2 = -3x + 2

-x - 2 = 2

-x = 4

x = -4

For the expression 2(-2x - 4) + 6 = 5 – 3(x + 1) the value of x is -4.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given expression is,

2(-2x - 4) + 6 = 5 - 3(x + 1)

To find the value of x, simplify the expression,

-4x - 8 + 6 = 5 - 3x - 3

-4x - 2 = 2 - 3x

-4 = 4x - 3x

x = -4

The required value of x is -4.

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a number is picked at random from numbers 1 to 10 what is the probability that the number is a perfect square ​

Answers

Answer:

40%

Step-by-step explanation:

First, we must find out how many perfect squares are between 1 and 10.

1, 2, 4, 9,

Now, we put that quantity over 10.

4              2

--      =      --

10            5

Sumi
Cal's go cart has a gas tank with the dimensions shown below.
He uses a gas can that holds 1 liter of gas, to fill the go cart tank.
1 liter = 1000 cm
and d
cm
and d
ems
25 cm
40 cm
How many full gas cans will it take to fill the go cart's gas tank?

Answers

Answer: 8 liters  can.

Step-by-step explanation:

First we need to find the volume of the cart tank . Since it is in the shape of a rectangular prism we have to multiply the length by the width by the height to find the volume.

V= 40 * 25 * 8  

V =  8000  

Which means that the volume is 8000 cubic centimeters.  

Now convert 8000 cubic centimeters to liter.

It gives us a hint that 1 liter is equal to 1000 cm^3

So to convert 8000 cubic centimeters to liters we will have to divide it by 1000.

8000/1000 = 8 liters.

E3-7 the ledger of perez rental . Agency in March 31 of the current year include the selected accounts shown below before adjusting entries have been prepared

Answers

Answer:

1) Debit Depreciation expenses for $1,200; and Credit Accumulated depreciation for $1,200.

2) Debit Unearned Rent Revenue for $3,400; and Credit Rent Revenue for $3,400.

3) Debit interest expenses for $500; Credit Interest payable for $500.

4) Debit Supplies expenses a/c for $1,900; and Credit Cost of goods sold for $1,900.

5) Debit Insurance expense for $600; Credit Insurance prepaid for $600.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided for answering the question. See the attached pdf file for the complete question.

The explanation to the answer is now provided as follows:

The adjusting entries at March 31 will look as follows:

Perez Rental Agency

Date        Accounts Name                                         Dr($)            Cr($)    

Mar 31    Depreciation exp. ($400 * 3monts)           1,200

                Accumulated depreciation                                          1,200

             (To record depreciation expenses.)                                              

Mar 31     Unearned Rent Revenue                           3,400

                 Rent Revenue (1/3 * $10,200)                                    3,400

              (To record earned unearned rent revenue.)                                

Mar 31   Interest  expenses a/c                                    500

               Interest payable                                                              500

              (To record accrued interest on note payables.)                      

Mar 31    Supplies  expenses a/c ($2,800 - 900)      1,900

                 Supplies on hand                                                       1,900

              (To record supplies expenses.)                                                    

Mar 31     Insurance exp. ($200 * 3 months)               600

                 Prepaid insurance                                                         600

               (To record expired prepaid insurance.)                                      

preform the indicated multiplication below. reduce the terms and simplify (2+i)(3-i)(1+2i)(1-i)(3+i)

Answers

Answer:

Hey there!

Expand (2+i)(3-i). You should get 7+i

Expand (7+i)(1+2i). You should get 5+15i

Expand (5+15i)(1-i). You should get 20+10i

Expand (20+10i)(3+i). You should get 50+50i as your final answer.

Let me know if this helps :)

The sum of a number and two equal to negative seven. Translate this sentence to an equation and then find the number

Answers

Answer:

-9

Step-by-step explanation:

x+2=-7

x+2-2=-7-2

x=-9

Answer:

-9

Step-by-step explanation:

i took this assignment

Write the equation of the line in slope intercept form that passes through (-2, -8) and (-9, 4)

Please provide steps to solve if possible

Answers

Answer:

[tex]y=-\frac{12}{7}x-\frac{80}{7}[/tex]

Step-by-step explanation:

In order to find the slope-intercept form of a line when given two points, we need to first put it into point-slope form. The point-slope form is given by the equation:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and x₁ and y₁ is one of the two points.

Anyways, let's first find the slope. Let's designate (-2,-8) as x₁ and y₁ and (-9,4) as x₂ and y₂ (it doesn't really matter). The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{(4)-(-8)}{(-9)-(-2)}=12/-7=-12/7[/tex]

So, the slope is -12/7.

Now, pick a point for the point-slope form. To keep things consistent, I'm going to use the point (-2,-8) as x₁ and y₁. Plug in -12/7 for m. Therefore:

[tex]y-(-8)=-\frac{12}{7}(x-(-2))\\[/tex]

Now, simplify, distribute, and isolate the y:

[tex]y+8=-\frac{12}{7}(x+2)\\y+8=-\frac{12}{7}x-\frac{24}{7}\\y=-\frac{12}{7}x-\frac{24}{7}-8\\y=-\frac{12}{7}x-\frac{24}{7}-\frac{56}{7} \\y=-\frac{12}{7}x-\frac{80}{7}\\y=-\frac{12}{7}x-\frac{80}{7}[/tex]

PLSSSS HELPP: One day at a particular school, 15% of the students were absent and there were 1020 students at school that day. How many students did the school have altogether?

Answers

Answer:

1,200

Step-by-step explanation:

1020 divided by 0.85= 1200

The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.

Answers

Answer:

The third angle is 180-(49+75)=56 degrees

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Answer:

56

Step-by-step explanation:

TOTAL ANGLE IN A TRIANGLE =180°180 -(49+75)180 - 124=56°

CHECK56+49+75=180°

jimmy cn run 3.5 miles in 20 minutes. How far can he run in one hour and ten minutes?

Answers

Answer: 12.25miles.

Step-by-step explanation:

This is a simple proportion.

                       20 miles   = 3.5miles

      ∴                1 mile     = 3.5/20

      ∴  1hour 10minutes  which is equivalent to 70minutes will be

                                        =  (3.5/20 x ⁷⁰/₁ ) miles

                                        = 12.25miles

A flat surface made up of points that extends infinitely
in all directions

Answers

Answer: Plane

Step-by-step explanation: A plane is a flat surface that has no thickness.

Think of a plane as a wall or a floor of a room.

Another important characteristic of a plane is that it has no edges.

So it extends forever in all directions.

On the number line, graph the solution to the inequality -5(x+1) > 7x + 31? Can you tell me how to go about doing this problem I have tried a few methods but can't figure it out.

Answers

Answer:

x < -3

Step-by-step explanation:

First we simplify:

-5x - 5 > 7x + 31

-12x > 36

x < -3.

We reverse the sign because we divided by a negative number on both sides.

That should be easy to graph.

Find the product. 2√3•√15 A)5√5 B)√45 C)6√5 D)18√5

Answers

First multiply the numbers inside the radicals together.

So √3 · √15 is √45.

So we have 2√45.

Note that the 2 can't be multiplied by anything since

√15 has nothing outside of the radical.

So we have 2√45.

Now, break down your square root.

√45 breaks down as 9 · 5 and 9 breaks down as 3 · 3.

Since we have a pair of 3's, a 3 comes outside of the radical

multiplying by the 2 that was previously outside to get 6.

The 5 doesn't pair up so it stays inside.

So our final answer is 6√5.

Answer:

C) [tex]6\sqrt{5}[/tex]

Arithmetic without explanation:

[tex]2\sqrt{3}* \sqrt{15}\\ = 2\sqrt{3}* \sqrt{3*5} \\ = 2\sqrt{3^2} *\sqrt{5} \\ = 2 * 3\sqrt{5} \\= 6\sqrt{5}[/tex]

Example of radical multiplication:

Take [tex]y\sqrt{x} * a\sqrt{b}[/tex]  as an example:

1. Multiple the numbers inside the roots

      [tex]\sqrt{x} * \sqrt{b} = \sqrt{x*b} = \sqrt{xb}[/tex]  

2. Multiple the numbers outside the roots

       [tex]y*a = ya[/tex]

3. Combine them and simplify

      [tex]ya\sqrt{xb}[/tex]

Step-by-step explanation:

We are given the expression [tex]2\sqrt{3}*\sqrt{15}[/tex]

 1. Identify the roots and multiply them

         The roots are [tex]\sqrt{3}[/tex]  and [tex]\sqrt{15}[/tex]

           [tex]\sqrt{3} *\sqrt{15} \\= \sqrt{45}[/tex]

  2. Multiply the numbers outside the root

         For [tex]2\sqrt{3}[/tex] it is [tex]2[/tex] and for [tex]\sqrt{15}[/tex] it is [tex]1[/tex]

          [tex]2*1 = 2[/tex]

  3. Combine and simplify

    Combine:

              [tex]2* \sqrt{45}\\= 2\sqrt{45}[/tex]

   Simplify:

           *Note: [tex]\sqrt{n^2} = n[/tex]

        1. Find the Prime factorization of 45

                   [tex]45 = 3^2 * 5[/tex]

        2. Simplify the Root

                  [tex]2\sqrt{45} \\ = 2\sqrt{3^2 * 5} \\= 2\sqrt{3^2} * \sqrt{5} \\= 2 * 3\sqrt{5}\\ =6\sqrt{5}[/tex]

We end up with [tex]6\sqrt{5}[/tex]

Write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.

Answers

Answer:

y = 7x -47

Step-by-step explanation:

[tex]m = 7\\(8,9)=(x_1 , y_1)\\\\y-y_1=m(x-x_1)\\\\y - 9=7(x -8)\\y-9=7x-56\\\\Collect\:like\:terms\\\\y = 7x-56+9\\\\y = 7x-47[/tex]

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