Gabriella needs 120 meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w.

How wide is the fence?
Please try to include a Screenshot with the answer

The three (3) products that resulted in a difference of squares are:

In Mathematics, the standard form for a difference of two (2) squares is given by a² - b² = (a + b)(a - b).

(3 + xz)(-3 + xz) = (3 + xz)(xz -3)

(3 + xz)(xz -3) = 3xz - 9 + x²z² - 3xz.

(3 + xz)(xz -3) = x²z² - 9

Therefore, x²z² - 9 ≡ a² - b²

(y² - xy)(y² + xy) = y⁴ + xy³ - xy³ - x²y²

(y² - xy)(y² + xy) = y⁴ - x²y²

Therefore, y⁴ - x²y² ≡ a² - b².

(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²)

(64y² + x²)(-x² + 64y²) = 4096y⁴- 64y²x² + 64y²x² - x⁴

(64y² + x²)(-x² + 64y²) = 4096y⁴ - x⁴

Therefore, 4096y⁴ - x⁴ ≡ a² - b².

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Answer:

Step-by-step explanation:

Answer:

Option B I.e -1/2

Step-by-step explanation:

Option B I.e -1/2

Answer:

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

27. (B)

27. (C)

Answer:

1,

[tex] \frac{13a}{15b} [/tex]

2,

[tex]9[/tex]

Step-by-step explanation:

[tex] \frac{3a}{5b} + \frac{4a}{15b} [/tex]

[tex] \frac{45a}{75b} + \frac{20a}{75b} [/tex]

[tex] \frac{13a}{15b} [/tex]

2,

[tex] {3}^{6} \times {3}^{0} \div {3}^{4} [/tex]

[tex]729 \times 1 \div 81[/tex]

[tex]729 \div 81 = 9[/tex]

Answer:

  (c)  x² -64

Step-by-step explanation:

The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...

  a² -b² = (a +b)(a -b)

__

You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...

  a² -b² = x² -8² = x² -64

Answer:

x^2-64

Step-by-step explanation:

just did the test

Answer:

Step-by-step explanation:

The indicated angles are vertical angles since formed by two intersecting lines.

We know the vertical angles are congruent. Use this property to find the value of x and the angle measure

The angle measure

Opposite angles are equal

no of sweet gave to peny is 24×3/8 = 9 sweets

rest was ate by him

so the sweet ate by him is 24-9 = 15 sweet

hope this helps you kindly mark me as brainliest and follow me

Based on the amount of sweets eaten by Gary and Ben, the person with more sweets left is Ben.

The sweets left by Gary are:

= 24 - (24 x 3/8)

= 24 - 9

= 15 sweets

The sweet left by Ben are:

= 30 - (2/5 x 30)

= 30 - 12

= 18 sweets

In conclusion, Ben has more sweets left.

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Answer:

B.  F(x) = (x+1)/(x-1)(x+2)

Step-by-step explanation:

See attached graph.  Note how the two vertical lines at x = -2 and 1 match plot B

The following graph is of the rational function [tex]F(x) = \frac{x+1}{(x-1)(x+2)} \\[/tex]

What are asymptotes?

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.

The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.

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Step-by-step explanation:

A ) 3x-2

B ) -4x+5

I HOPE IT HELPED YOU

Answer:

781.54

Step-by-step explanation:

240+1180= 1420

11580-1420 = 10160

10160÷13 ~=~ 781.54

PLACE as brainliest

Answer:

9 first class tickets

4 coach tickets

Step-by-step explanation:

Let x = number of first class tickets bought

Let y = number of coach tickets bought

Given:

⇒ x + y = 13

Given:

⇒ 1180x + 240y = 11580

Rewrite first equation to make y the subject:

⇒ y = 13 - x

Substitute this into the second equation and solve for x:

⇒ 240(13 - x) + 1180x = 11580

⇒ 3120 - 240x + 1180x = 11580

⇒ 940x = 8460

⇒ x = 9

Therefore, 9 first class tickets were bought.

To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:

⇒ 9 + y = 13

⇒ y = 4

Therefore, 4 coach tickets were bought.

Answer:

Step-by-step explanation:

r=6ft; c=2pi(6)=12pi ft

put into calculator, you get 37.7 ft

Answer:

25 units squared

Step-by-step explanation:

Area is length times width. The table is in the shape of a square, so 5*5 = 25 units squared.

Answer:

s

Step-by-step explanation:

Answer:

2,799 square cm

Step-by-step explanation:

Volume of cone: (1/3)π(9^2)(40)=1,080π

Volume of cylinder: π(3^2)(21)=189π

1,080π - 189π = 891π = 2799.2 square cm

Step-by-step explanation:

For this problem, you'll need two formulas:

Slope: y1 - y2/x1 - x2

Point Slope: y - y1 = m(x - x1)

First thing you need to use is the slope formula.

Plugging in your coordinates gives you:

[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]

You can simplify this by getting rid of the negatives since two negatives make a positive.

Now to use the point slope formula.

For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).

I'll be using the point (2,3). Now plug everything in:

[tex]y-3=\frac{5}{2} (x-2)[/tex]

First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:

[tex]y-3=\frac{5}{2} x-5[/tex]

Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:

[tex]y=\frac{5}{2} x-2[/tex]

Hope this was helpful, good luck :)

Answer:

$630 Per Month

Step-by-step explanation:

$22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months

=$630

[tex]~~~~~\pi r^2 = 513\\\\ \implies r = \sqrt{\dfrac{513}{\pi}}\\\\ \implies r= \sqrt{\dfrac{513}{3.14}}\\\\\implies r=12.78~ \text cm.}\\\\\text{Hence the radius is 12.78 cm.}[/tex]

Answer:

Step-by-step explanation:

Area of circle = πr²

[tex]\sf \boxed{r =\sqrt{ \dfrac{Area}{3.14}}}[/tex]

[tex]\sf r =\sqrt{\dfrac{513}{3.14}}\\\\r = \sqrt{163.38}\\\\r = 12.78 \ cm[/tex]

Answer:

Step-by-step explanation:

25% = 1/4 of 100

100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200

If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.

50... ok......

50 = 25%

Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people

So, if 25-15=10

and then 5% = 10 people

5%+5%=10

10+10=20

That means, that 20 people more liked the movie than disliked it.

Answer: x=-6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

Step 1: Simplify both sides of the equation by distribution

[tex]2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\[/tex]

Step 2: Subtract 3x from both sides.

[tex]-2x+18-3x=3x+48-3x\\-5x+18=48[/tex]

Step 3: Subtract 18 from both sides.

[tex]-5x+18-18=48-18\\-5x=30[/tex]

Step 4: Divide both sides by -5.

[tex]\frac{-5x}{-5} =\frac{30}{-5} \\x=-6[/tex]

Answer:

C

Step-by-step explanation:

A number is n, therefore you can start off with 32 and subtract 4 getting you 28. Subtract 4 and you get 24, and again 20.

Answer:

A, E, B, D, C

Step-by-step explanation:

1) 6 is A

2) √83 = 9.11, so it is E

3) √40 = 6.3, so it is B

4) √64 = 8, so it is D

5) 7.5 is C

Answer:

62%

Step-by-step explanation:

10 000 ÷ 100 = 100

620 ÷ 100

= 62%

The expression that represents a perfect cube is expressed as: 6 × 6 × 6

A perfect cube, x, is such that x × x × x = x³ = ∛x.

Thus, we have:

6 × 6 × 6 = 216

Cube root of 216 = ∛216

∛216 = 6

We can then conclude that the expression that represents a perfect cube is: 6 × 6 × 6

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Answer:

6x6x6

Step-by-step explanation:

Answer:

$44

Step-by-step explanation:

She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44

Answer:

you're correct it's 44 you do 79 - 35 and you get 44

The slope or gradient has this formula when two points are given: m = y1 −y x1 −x In this case we have the points (-6,-8) and (-7,y) and m=-8.

Answer:

Reflection over the y-axis.

Step-by-step explanation:

All the x values will change sign so its over the yaxis

Answer:

a. The graph will be reflected over the y-axis

Step-by-step explanation:

When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.

hope this helps :)

The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

To find the equivalent expression, simplify the given equation with the help of mathematical operations.

The expression given in the problem is,

[tex]\sqrt[3]{216\times {27}}[/tex]

Let the expression which is equivalent to the above expression is n. Thus,

[tex]n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3[/tex]

Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

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Answer:

A

Step-by-step explanation:

Answer:

c. 34

Step-by-step explanation:

1) Add all the given prices on each day.

= 42.80 + 64.20 + 74.90

= 181.90

2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.

Let x = number of magazine subscriptions sold

5.35x = 181.90

x = [tex]\frac{181.90}{5.35}[/tex]

x = 34