The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A prime B prime C prime are shown. A is at 3, 1. B is at 2, 6. C is at 6, 5. A prime is at negative 5, 4. B prime is at negative 6, 9. C prime is at negative 2, 8. Which of the following completes the rule for this translation, (x, y) → (x − 8, ___)? (5 points)

Answer:

[tex]x=\pm \sqrt{\frac{3}{10}}[/tex]

Step-by-step explanation:

[tex]-10x^2+12-9=0\\\\-10x^2+3=0\\\\-10x^2=-3\\\\x^2=\frac{-3}{-10}\\\\x^2=\frac{3}{10}\\\\[/tex]

here we have to cases

case 1

[tex]x=\sqrt{\frac{3}{10}}\\[/tex]

case 2

[tex]x=-\sqrt{\frac{3}{10}}[/tex]

Given:

Consider the given equation is

[tex]-10x^2+12x-9=0[/tex]

To find:

The roots of x in the given equation.

Solution:

We have,

[tex]-10x^2+12x-9=0[/tex]

On comparing this equation with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=-10,b=12,c=-9[/tex]

Using quadratic formula, we get

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-10)(-9)}}{2(-10)}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{144-360}}{-20}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{-216}}{-20}[/tex]

We know that, [tex]\sqrt{-1}=i[/tex].

[tex]x=\dfrac{-12\pm 6\sqrt{6}i}{-20}[/tex]

[tex]x=\dfrac{-2(6\mp 3\sqrt{6}i)}{-20}[/tex]

[tex]x=\dfrac{6\mp 3\sqrt{6}i}{10}[/tex]

[tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex]

Therefore, the roots of the given equation are [tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex].

Answer:

a: 3°

b: -4°

c: -3°

d: 3°

e: -4°,-3°,0°,3°,3°

f: 7

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

Answer: 7

Step-by-step explanation:

Let the number chosen by Michael be x.

We are told that he multiplied it by itself, added 1. This would be:

= = ( x × x) + 1 = x² + 1

We are further told that he multiplied the result by 10, and added 3. This would be:

= = [(x² + 1) × 10] + 3

= 10x² + 10 + 3

= 10x² + 13

Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:

(10x² + 13) × 4 = 2012

40x² + 52 = 2012

40x² = 2012 - 52

40x² = 1960

x² = 1960/40

x² = 49

x = ✓49

x = 7

The number is 7

can be expressed as:

= ( x × x) + 1 = x² + 1

Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is [tex]\boldsymbol{885}[/tex].

"To understand the calculation, check below."

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math [tex]=10[/tex]

Mean scores [tex]=88.5[/tex]

Therefore,

Sum of all scores [tex]=10 \times 88.5[/tex] [tex]=\boldsymbol{885}[/tex]

Find out more information about mean here:

https://brainly.com/question/1363341?referrer=searchResults

Answer:

I think the value of x =50

Answer:

The next sequence is

0,1,2,3

Step-by-step explanation:

Answer:

$22.50

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Answer:

The graph is increasing at -2 and 2 if im not wrong

Answer:

So we know that 5x+10 and x +16 should give us 56. So let's combine the like terms.

1) 6x+26=56

Now lets solve for x.

2) 6x=30

   x=5

3) To solve for AB and BC we will plug in the value of x.

AB= (5) + 16= 21

BC= 5(5)+10= 35

You can also double check the right answer by checking whether 21+35 = 56, and in this case it does.

Answer:

Step-by-step explanation:

-2x^-1-7

Answer:

7 trees will be planted along one block.

Therefore, option D is the correct choice.

Step-by-step explanation:

The length of the block in boskyville = 390 feet

So subtract 20 feet from the length of the block in boskyville.

i.e  390 feet - 20 feet = 370 feet

Thus, divide the 370 feet by 50 feet would bring us the total number of trees being planted along one block

i.e.

Trees along one block = 370 / 50

                                      = 7 (Rounded to the whole number)

Thus, 7 trees will be planted along one block.

Therefore, option D is the correct choice.

Answer:

the answers are Band C

Step-by-step explanation:

B. using the number line n greater than -8

C.8=4.2

8=8

Answer:

slope = 0

Step-by-step explanation:

A horizontal line parallel to the x- axis has a slope of zero.

Since the x- axis has a slope of zero, any line parallel to it will also have a slope of zero.

Answer:

Step-by-step explanation:

                                           Justifications

-2(x + 6) < 3(x + 1)                   Given

-2x - 12 < 3x + 3                     Distributive property

-2x < 3x + 15                          Addition property of Order

-5x < 15                                  Subtraction property of Order

x > 3                                       Division property of Order

Answer:

0.12 times 98

Step-by-step explanation:

100×0.12=12, which is 12% of 100

Answer:

0.12 times 98 dollars

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

1)  :)

2) :(

3) :(

4) :(

5) :)

Answer:

James earns $2.20 less than twice Greg's hourly wage. If. James earns $16.50 per hour, what is Greg's hourly wage? let x= Grea's hourly wage. 2x-2.20-James' hourly wage. 2x-2.20=16.50. 2x=16.50+2.20. 2x= 18.70.

If James earns $2.20 less than twice gregs hourly wage.If james earns $16.50 per hour, then gregs hourly wage is  $9.35

Two or more expressions with an equal symbol operator is called equation.

Given that james earns $16.50 per hour,

and James earns $2.20 less than twice gregs hourly wage.

let x= Grea's hourly wage.

James earns $2.20 less than twice gregs hourly wage by data.

2x-2.20=James' hourly wage.

2x-2.20=16.50.

2x=16.50+2.20.

2x= 18.70.

Divide by 2 on both sides

x=9.35

Hence gregs hourly wage is $9.35.

To learn more on Equations click:

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Answer:

5%

Step-by-step explanation:

I = PRT/100  where I = interest, P = initial deposit, R = the rate in %, T = number of years.

So substituting the given values:

6000 = 10000*R* 12/100

10000*12*R =  100*6000

R =  100*6000 / (10000 * 12)

R = 600000/120000

= 5%

Answer:

C. The reciprocal

I hope this helps!

Answer:

C the reciprocal I used process of elimination honestly

Step-by-step explanation:

Answer:

A=$12451.67474

Step-by-step explanation:

A=$12000{(1+3/100)^¼)}^4

A=$12451.67474

Answer:

The answer is C.

Step-by-step explanation:

I took the test and got it right

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.

Cone W has a radius of 6 cm and a height of 5 cm.

The base area of the cone will be

A = πr²

A = π (6)²

A = 113.04 square cm

Then the volume of the cone will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Square pyramid X has the same base area and height as cone W.

Then the volume of the square pyramid will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

More about the geometry link is given below.

https://brainly.com/question/7558603

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Answer:

0.125

Step-by-step explanation:

2/16 = 1/8 = 0.125

Answer would most likley be A i think because 1/11 is 0.0909090909091

Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

Answer:

x=2

PR=7

Step-by-step explanation:

1) 6x - 5  = 9 - x

You can do this because RQ and PR are equal in length

2) 6x + x = 9 + 5

Combine like terms and solve for x

3) 7x = 14

   x=2

PR= 6x - 5

= 6(2) -5

= 7

Answer:

x = - 16

Step-by-step explanation:

Given

x + 7 = - 9 ( subtract 7 from both sides )

x = - 16