What is the image point of (9,4) after a translation left 5 units and up 1 unit?​

9514 1404 393

Answer:

  { (-441/23, 433/23) }

Step-by-step explanation:

The "cross-multiplication method" is usually shown as follows:

1. rewrite the equations in general form: ax +by +c = 0

2. write the coefficients in two row in the order b, c, a, b.

3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2

4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1

5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)

6. The values of x and y satisfy the equations ...

  x/d1 = y/d2 = 1/d3

which is to say, ...

  x = d1/d3, and y = d2/d3

_____

For your equations, we can rewrite them as ...

Then our rows of coefficients are ...

  [tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]

And our differences are ...

  d1 = 12(23) -11(-15) = 441

  d2 = -15(12) -23(11) = -433

  d3 = 11(11) -12(12) = -23

The relations between x and y are ...

  x/441 = y/-433 = 1/-23

so, x = -441/23 and y = 433/23

The solution set is one ordered pair: { (-441/23, 433/23) }.

_____

Additional comments

The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.

Answer:

( 2, -1 )

Step-by-step explanation:

The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,

Here we have to translate the point Q(2, 3).

Point (x, y) is translated as (x - 3, y + 4).

That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.

Q(2, 3) after the translation becomes,

Q'(2 - 3, 3 + 4) = Q'(-1, 7)

Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).

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Answer:

Finite

Step-by-step explanation:

When the sequence goes on forever it is called an infinite sequence,

otherwise it is a finite sequence

Examples:

{1, 2, 3, 4, ...} is a very simple sequence (and it is an infinite sequence)

{20, 25, 30, 35, ...} is also an infinite sequence

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

y >13

Step-by-step explanation:

y - 2 > 11

solve like how you would solve an equation, with inverse operations

y -2 > 11

  +2   +2

y > 13

Answer:

it shoud just be y>13

Step-by-step explanation:

bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13

Answer:

30 ft

Step-by-step explanation:

7.5 + 12.5 + 10 = 30 ft

Option D, 6 is the correct answer

Answer:

c

Step-by-step explanation:

Answer:

In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.

The correct answer is 7.3e +22

Answer:

x=7

Step-by-step explanation:

first, add 12 to both sides so it would look like: 6x-12+12=30+12

so, ya get 6x=42

then you divide 6 from both sides, and that is: 6x/6=42/6

so x=7

Answer:

$9,635.00

Step-by-step explanation:

41 bracelets×$235.00=$9,635.00

First can I just say, those are some expensive jewelry!

l

Step-by-step explanation:

The amount of bracelets that she sold last month, (Saturday + Sunday) is 41. So last month she sold 41 bracelets.  

Each bracelet cost $235 so we have to multiply to amount of money one bracelet cost, times how many she sold.

$235 x 41 = $9635

She made $9635 by selling bracelets last month.

Answer:

The height of the pole is 33.89 feet.

Step-by-step explanation:

Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.

So, we use the cosine rule to find this angle of elevation. So,

b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.

cosB = (a² + c² - b²)/2ac

cosB = (40² + 30² - 35²)/(2 × 40 × 30)

cosB = (1600 + 900 - 1225)/2400

cosB = 1275/2400

cosB = 0.53125

B = cos⁻¹(0.53125)

B = 57.9°

Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from

sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.

h = 40sinB

h = 40sin57.9°

h = 40 × 0.8472

h = 33.89 feet

So, the height of the pole is 33.89 feet.

Answer:

-2, 1, or 3 only

Step-by-step explanation:

it’s asking for x intercepts

Answer: 4√2

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Try multiplying 4*4*2 = 32. So you would bunch up those two 4's and so it would be the front of the answer. Then you would square root 2 because it is remaining.

~I hope I helped you! :)~

Answer:

I hope this helps!

Answer:

20%

Step-by-step explanation:

Answer: 0.6 repeating

Step-by-step explanation:

Answer:

obj

Step-by-step explanation:

obj basically means that like

o: onul AM scared

b: bat

j: jaywalk

this is an exampe of J in the obj becauase the 10 is jaywalking adding to 54!!!.W!?KL herobrine?/?? he said threat!!! what is life mean to be god? Same.

Answer:

The coordinates of ΔA''B''C'' are;

A''(-1, -3), B''(-2, -6), C''(1 , -7)

Step-by-step explanation:

A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line

Given that the coordinates of the triangle ΔA'B'C' are;

A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4

A''(-4, -4 + 1) = A''(-4, -3)

B''(-5, -4 - 2) = B''(-5, -6)

C''(-2, -4-3) = C''(-2, -7)

Translation of A''B''C'' by T 3, 0, we have;

A''(-4, -3)  → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)

B''(-5, -6)  → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)

C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)

The coordinates of ΔA''B''C'' are therefore;

A''(-1, -3), B''(-2, -6), C''(1 , -7).

Answer:

A″(−1, −3), B″(−2, −6), C″(1, −7)

option A

Answer: 1 day, 12 hours (36 hours)

Given that Finn looked at 2 websites every 18 hours, let's solve the problem.

Multiply by 2, because he looks at 4 websites, and 2 x 2 = 4.

18 x 2 = 36.

The answer should be 36. Hope this helps you!

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

Answer:

180

Step-by-step explanation:

the lengths are all 180 because 60 degrees times three sides is 180 so the length of one side is 180.

Answer:

That number rounds to the nearest hundredth to this number: 382.99

Answer:

The answer is D) 6 1/4 to win a bet

Answer:

the answer is D to win a bet ;)

Step-by-step explanation:

you have to divide the 6/12 and 13 and the 12 ;)

Answer:

y=x+2

Step-by-step explanation:

slope is 1

y-int is +2

Answer:

y = 3 + 1/1

Step-by-step explanation:

First, the line passes the y-intercept at 3, so we have y = 3. But we also need the slope. Because the slope is 1/1 or 2/2, the equation would be this:

y = 3 + 1/1

I hope this helps! If you have any questions about how I got this answer please feel free to comment them!

Answer:

y = -8x^2 - 8x - 48

Answer:

6 min

Step-by-step explanation:

Answer:55.2

Step-by-step explanation: first, find the unit price which is 2.4

Then 2.4 • 23 because you are buying 23 pumpkins and then you would get 55.2 but since you are talking about money, it would be $55.20

Answer:

See below

Step-by-step explanation:

[tex]0.000 0643 = 6.43 \cdot 10^{-5}[/tex]

[tex]0.000 000 205 = 2.05 \cdot 10^{-7}[/tex]

[tex]0.000 000 005 009 = 5.009 \cdot 10^{-9}[/tex]