Triangle A’B’C is the image ABC under a translation.

Determine the translation.
Use non-negative numbers.

A translation by ___ units to right/left/up/down

Answer:

[tex]4.5a^6d^2[/tex]

Step-by-step explanation:

Use:

[tex](ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^0=1\ for\ a\neq0[/tex]

----------------------------------------------------------------------------------

[tex]\dfrac{(3a^3b^{-2}c^0d)^3}{6a^3b^{-8}c\cdot b^2d}=\dfrac{3^3(a^3)^3(b^{-2})^3(1^3)d^3}{6a^3b^{-8+2}d}=\dfrac{27a^9b^{-6}d^3}{6a^3b^{-6}d}\\\\=\dfrac{27}{6}a^{9-3}b^{-6-(-6)}d^{3-1}=4.5a^6b^0d^2=4.5a^6d^2[/tex]

Answer:

[tex] \dfrac{b^2}{4a^2} [/tex]

Step-by-step explanation:

There are some fractions there that are not visible.

Here it is with the fractions in place.

[tex] x^2 + \dfrac{b}{a}x = -\dfrac{c}{a} [/tex]

To complete the square, take half of the x-term coefficient, and square it.

The x-term coefficient is [tex] \dfrac{b}{a} [/tex].

Take half of it, or [tex] \dfrac{b}{2a} [/tex].

Now square it: [tex] \dfrac{b^2}{4a^2} [/tex].

That is what you must add to complete the square.

Answer:

(b/2a)^2

Step-by-step explanation:

usatestprep

I believe that “b” would equal 6

(3x+7)(2x-6)= 6x squared -4x-42

6x^2-4x-42

The product of the expressions (3x + 7) and (2x - 6) will be 6x² - 4x - 42.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.

The expressions are given below.

(3x + 7) and (2x - 6)

Then the product of the expressions (3x + 7) and (2x - 6) will be

(3x + 7) (2x - 6) = 6x² + 14x - 18x - 42

(3x + 7) (2x - 6) = 6x² - 4x - 42

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5.5 cm per minute is the fastest so it will win.

Answer :Courtney will win the race. Her unit rate is the greatest,which means she walks farther in one minute than the other two turtles.

Step-by-step explanation:

that is the sample version.

First you use the formula (-b/2a) to find the axis of symmetry(or the x value) and then you plug that into the equation to find the y value.

a = 2

b= -16

16/2(2)=16/4=4

(4, x )  so we have the x-value and now we plug 4 into the original equation

y=2(4)^2-16(4)+8

y=2(16)-64+8

y=32-64+8

y=-24

So the vertex is at (4,-24)

Hello!

[tex]-1-4s=8[/tex]

[tex]-1-4s+1=8+1[/tex]

[tex]-4s=9[/tex]

[tex]\frac{-4s}{-4}=\frac{9}{-4}[/tex]

[tex]s=-\frac{9}{4}[/tex]

Explanation: This question is super easy for me. First you had to do add 1 from both sides. It gave us -1-4s+1=8+1, then simplify, and it gave us -4s=9. You can also divide by -4 from both sides. It gave us -4s/-4=9/-4, and simplify. And the answer it gave us is s=-9/4 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

Answer:

Ah, this is an example of the distribution property, as you would need to distribute the 5 to the 8 and 3. Here's the step-by-step process:

[tex]5(8+3)[/tex]

Let's first multiply the 5 and 8

[tex]5(8)=40[/tex]

Now, the 5 and 3

[tex]5(3)=15[/tex]

We now have two whole numbers, and therefore our answer:

40 + 15

Answer:

64mph

56mph

higher

64mph

56mph

higher

It's too short. Write at least 20 characters to explain it well.

Answer:

No, this particular triangle is not a right triangle.  See my reasoning, below:

Step-by-step explanation:

We must determine whether the Pythagorean Theorem is satisfied here.  Does the sum of the squares of the shorter two sides equal the square of the longest side?  Symbolically, does 16^2 + 63^ = 68^2?  Does 256 + 3969 = 4624?  No.

Answer:

5 books

Step-by-step explanation:

Given that Toni carries upto 18 lbs in her backpack.

The maximum weight Toni can carry is 18 lbs.

Of these 18 lbs, already lunch of 1 lb and gym clothes of 2 lbs are included.

hence available for books is only the remaining 15 lbs.

Total weight in backpack= 18 lbs(Maximum)

Weight of lunch = 1 lb

Weight of her gym clothes = 2 lb

Hence maximum weight available for books = 18-(1+2) = 15 lbs

Weight of one book = 3 lbs.

No of books she can carry = 15/3 = 5 books

Answer:

She can travel 36 blocks in 12 minutes.

Step-by-step explanation:

First you must find out how many blocks he can skateboard in 1 minute.

15/5

He can skateboard 3 blocks in 1 minute.

The equation I will use is b * m

b = blocks

m = minutes

so in this situation you must multiply 3 * 12 to get your answer.

which is b = 36

Answer:

She can travel 36 blocks in 12 minutes.

Step-by-step explanation:

First you must find out how many blocks he can skateboard in 1 minute.

15/5

He can skateboard 3 blocks in 1 minute.

The equation I will use is b * m

b = blocks

m = minutes

so in this situation you must multiply 3 * 12 to get your answer.

which is b = 36

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Step-by-step explanation:

:)

Turn both into decimals or fractions with a common denominator: 3.1 OR 3 1/10 and 1.2 OR 1 2/10

Now you need to subtract : 3 1/10 - 1 2/10 = 1 9/10 OR 1.9

In mixed number form : 1 9/10

Answer:

7 days because 15 times 7 =105 and if you add 30 to that you get 135.

Step-by-step explanation:

The Webb family rented the car for 7 days.

To find the number of days the Webb family rented the car, we can set up an equation using the given information. Let's say the number of days the car was rented is x. The total cost would then be $30 (one-time fee) plus $15 (daily fee) multiplied by x. This can be represented as the equation: 30 + 15x = 135. To solve for x, we need to isolate it by subtracting 30 from both sides: 15x = 105. Then, divide both sides by 15: x = 7. Therefore, the Webb family rented the car for 7 days.

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Answer:

4,2, and one-half in the answer!!!! :)

Step-by-step explanation:

Having used the interactive ruler, the distance from the center of the dilation to the image and pre-image is 4 Units.

Also known as an Interactive Teaching Program (ITP) ruler, this virtual tool (which displays on the computer screen) is used to measure the lines and sides of a shape.

Having used the interactive ruler, the distance from point C to point A is units is 2 units.

Also, The distance from point C to point A' is 1.5 Units.

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She will pay $20 in interest

20 dollars of interest would be payed

Hope this helps

The answer would be x+3

The simplified expression is [tex]\(338\sqrt{x} - 40\sqrt{2y}\),[/tex] combining like terms of square roots of variables.

To simplify the given expression, let's simplify each term separately:

1. [tex]\(2 \cdot 4\sqrt{16x}\)[/tex]

  - Simplify \(4\sqrt{16x}\): Since [tex]\(16x = (4 \cdot 4) \cdot x = 4^2 \cdot x\), the square root of \(16x\) is \(4\sqrt{x}\).[/tex]

  - Substitute this result into the expression:[tex]\(2 \cdot 4 \cdot 4\sqrt{x} = 32\sqrt{x}\).[/tex]

2. [tex]\(2 \cdot 4\sqrt{2y}\) - Simplify \(4\sqrt{2y}\): Since \(2y\) doesn't have a perfect square factor, we leave it as is. - Substitute this result into the expression: \(2 \cdot 4\sqrt{2y} = 8\sqrt{2y}\).[/tex]

3. [tex]\(34\sqrt{81x}\) - Simplify \(\sqrt{81x}\): Since \(81x = (9 \cdot 9) \cdot x = 9^2 \cdot x\), the square root of \(81x\) is \(9\sqrt{x}\).[/tex]

  - Substitute this result into the expression: [tex]\(34 \cdot 9\sqrt{x} = 306\sqrt{x}\).[/tex]

4. [tex]\(4 \cdot 4\sqrt{32y}\) - Simplify \(4\sqrt{32y}\): Since \(32y = (4 \cdot 8) \cdot y = 4^2 \cdot 8y\), the square root of \(32y\) is \(4\sqrt{8y}\). - Rewrite \(\sqrt{8y}\) as \(2\sqrt{2y}\) since \(8 = 4 \cdot 2\). - Substitute this result into the expression: \(4 \cdot 4 \cdot 2\sqrt{2y} = 32\sqrt{2y}\).[/tex]

Now, combine all the simplified terms:

[tex]\[ 32\sqrt{x} - 8\sqrt{2y} + 306\sqrt{x} - 32\sqrt{2y} \][/tex]

Combine like terms:

[tex]\[ (32\sqrt{x} + 306\sqrt{x}) - (8\sqrt{2y} + 32\sqrt{2y}) \][/tex]

[tex]\[ 338\sqrt{x} - 40\sqrt{2y} \][/tex]

Therefore, the simplified form of the expression is [tex]\(338\sqrt{x} - 40\sqrt{2y}\).[/tex]

The simplified form of the expression is 338√x - 72√2y, after applying the square roots to known perfect squares and combining like terms.

To simplify the expression, first apply the square root to known perfect squares and distribute the multiplication:

2(4√16x) becomes 2(4×4√x) because √16 = 4, so this part simplifies to 32√x.

2(4√2y) stays as is because √2y cannot be simplified further without more information about y, so this part is 8√2y.

34√81x can be simplified because √81 = 9, resulting in 34×9√x, which is 306√x.

4(4√32y) becomes 4(4×√16×√2y) because √32 = √16×√2, so this part simplifies to 64√2y.

Combining all the parts, we subtract the like terms:

32√x - 8√2y + 306√x - 64√2y

This simplifies further to 338√x - 72√2y

That is the final simplified expression.

Answer:

No

Step-by-step explanation:

Put both in your calculator. Do it in this order.

17

÷

31

=

0.5484

=========

Now do the next one

18

÷

14

=

1.357

19/14 > 17/31

You can multiply by the reciprocal. Leave the first fraction in the equation alone.

Turn the division sign into a multiplication sign.

Flip the second fraction over (find its reciprocal).

Multiply the numerators (top numbers) of the two fractions together. ...

Multiply the denominators (bottom numbers) of the two fractions together.

Hello There!

To divide fractions, all you have to do is leave the first fraction alone in the equation but multiply by the reciprocal in the second fraction. This means "Flipped Number" so you flip the numerator and denominator in the second fraction and multiply across then simplify if you need to.

Answer:

=59+108+81+x=360

=248+x=360

=112

Considering the nearest-degree measurements, angle x falls between 58.5 and 108.5 degrees, determined by adjusting the upper and lower bounds based on the provided angles in the diagram.

Given that the angles in the diagram are measured to the nearest degree, we can determine the upper and lower bounds of angle x using the provided angles: 59 degrees, 108 degrees, and 81 degrees.

To find the upper bound of angle x, we select the largest angle, which is 108 degrees. The upper bound is obtained by adding 0.5 degrees to this angle (since measurements are to the nearest degree). Therefore, the upper bound of angle x is 108 + 0.5 = 108.5 degrees.

For the lower bound, we choose the smallest angle, which is 59 degrees. The lower bound is found by subtracting 0.5 degrees from this angle. Thus, the lower bound of angle x is 59 - 0.5 = 58.5 degrees.

In conclusion, the measure of angle x lies between the lower bound of 58.5 degrees and the upper bound of 108.5 degrees.

For more such information on: angle

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2x+16=3x-12

16+12=3x-2x

28=x

now,since this is a fig of 2 parallel line with a bisector then line EF =180 degrees.

therefore,3x+12+y=180

3(28)+12+y=180   [we already found the value of x]

96+y=180

y=180-96

y=84.

An inverse variation can be represented by the equation

[tex]xy=k\to y=\dfrac{k}{x}[/tex]

We have

[tex]\dfrac{y}{6}=x\qquad|\cdot6\\\\y=6x[/tex]

Answer: The relationship does not show an inverse variation.

Some number y has 7 subtracted off to get 15. We have y-7 = 15. To isolate y, we have to undo the "subtract 7" operation that happens to y. We have to add 7 to both sides.

y-7 = 15

y-7+7 = 15+7

y = 22 is the answer

Hello!

Solve for y.

[tex]15 = y - 7[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides.

[tex]y-7=15[/tex]

Then you add by 7 from both sides of the equation.

[tex]y-7+7=15+7[/tex]

Simplify it should be the correct answer.

[tex]y=22[/tex]

Answer⇒⇒⇒⇒⇒y=22

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer:

U = 40/3 or 13.3 as a decimal.

Hope this helps :-)

So, this is a rate per person * number of people.

So,

$916 per person * 72 people = 65,952

The city pays $916 per year for health insurance for;

each of 72 municipal employees

So;

1 municipal employee gets ⇒ $916

72 employees get ⇒ How much?

Cross multiplying gives:

72/1 × $916 = $65,952

The total cost the city pays per year is $65,952.

m = (y2 -y1)/ (x2-x1)

m = (3-(-7))

       --------

       5-5

 The slope is undefined since the denominator is zero

4a.

Inverse: If two segments are not of same length, then they are not congruent. TRUE

Converse: If two segments are congruent, they have the same length. TRUE

Contrapositive: If two segments are not congruent, then they do not have the same length. TRUE

4b.

Inv: if x not= 3, then |x| not= 3. FALSE. Counterexample: x=-3

Conv.: if |x|=3 then x=3. FALSE. Ex: x=-3

Contr: if |x| not=3 then x not= 3.   TRUE

2=320

320/2=  160

Key:

*1=160

3*160=480

4*160=640

12*160= 1920

Working together for the same time, 3 combine harvesters can harvest 480 acres, 4 combine harvesters can harvest 640 acres, and 12 combine harvesters can harvest 1920 acres.

If two combine harvesters can harvest 320 acres in a certain amount of time, we need to find out how many acres can be harvested by 3, 4, and 12 combine harvesters working together for the same amount of time.

1. **Three combine harvesters**:

  Since 2 combine harvesters can harvest 320 acres, the harvesting capacity per harvester is:

  - 320 acres / 2 harvesters = 160 acres per harvester in the given time.

  Therefore, 3 combine harvesters can harvest:

  - 3 harvesters * 160 acres per harvester = 480 acres.

2. **Four combine harvesters**:

  Similarly, 4 combine harvesters can harvest:

  - 4 harvesters * 160 acres per harvester = 640 acres.

3. **Twelve combine harvesters**:

  Similarly, 12 combine harvesters can harvest:

  - 12 harvesters * 160 acres per harvester = 1920 acres.

In summary, working together for the same time, 3 combine harvesters can harvest 480 acres, 4 combine harvesters can harvest 640 acres, and 12 combine harvesters can harvest 1920 acres.

x-4y=8

Hope this helps!