Please answer quickly. sorry it's so small

1)

[tex]\frac{d^2 - 9}{d^2 - 7d + 12} = \frac{(d - 3)(d + 3)}{(d - 3)(d - 4)} = \frac{d + 3}{d - 4}[/tex]

2)

[tex]\frac{m^2 + 2mn + n^2}{m^2 - n^2} = \frac{(m + n)(m + n)}{(m - n)(m + n)} = \frac{m + n}{m - n}[/tex]

3)

[tex]\frac{x^2 + xy - 6y^2}{x^2 - 3xy + 2y^2} = \frac{(x + 3y)(x - 2y)}{(x - y)(x - 2y)} = \frac{x + 3y}{x - y}[/tex]

1. [tex] \bf \dfrac{ {d}^{2} - 9 }{ {d}^{2} - 7d + 12 } [/tex]

[tex] \tt : \implies \dfrac{ {d}^{2} - (3)^{2} }{ {d}^{2} - 3d - 4d + 12 } [/tex]

By using identinty a² - b² = (a + b)(a - b) in numerator and splitting method in denominator :

[tex] \tt : \implies \dfrac{ (d+3)(d-3) }{ {d}^{2} - 3d - 4d + 12 } [/tex]

[tex] \tt : \implies \dfrac{ (d+3)(d-3) }{d(d - 3) - 4(d - 3)} [/tex]

[tex] \tt : \implies \dfrac{ (d+3)\cancel{(d-3)} }{\cancel{(d - 3)}(d - 4)} [/tex]

[tex] \tt : \implies \dfrac{d+3}{d - 4} [/tex]

Hence, answer is [tex] \boxed{\bf \dfrac{d+3}{d - 4} }[/tex]

________________________________

2. [tex] \bf \dfrac{ {m}^{2} + 2mn + {n}^{2} }{ {m}^{2} - {n}^{2} } [/tex]

By using identinty a² + 2ab + b² = (a + b)² in numerator and a² - n² = (a + b)(a - b) in denominator :

[tex] \tt : \implies \dfrac{(m+n)^{2}}{(m+n)(m-n)}[/tex]

[tex] \tt : \implies \dfrac{\cancel{(m+n)}(m+n)}{\cancel{(m+n)}(m-n)}[/tex]

[tex] \tt : \implies \dfrac{m+n}{m-n}[/tex]

Hence, answer is [tex] \boxed{\bf \dfrac{m+n}{m-n}}[/tex]

________________________________

3. [tex] \bf \dfrac{{x}^{2} + xy - 6{y}^{2}}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

By using splitting method in both numerator and denominator :

[tex] \tt : \implies \dfrac{{x}^{2} + 3xy - 2xy - 6{y}^{2}}{{x}^{2} - xy - 2xy + 2{y}^{2}}[/tex]

[tex] \tt : \implies \dfrac{x(x + 3y) - 2y(x + 3y)}{x(x - y) - 2y(x - y)}[/tex]

[tex] \tt : \implies \dfrac{\cancel{(x-2y)}(x + 3y)}{\cancel{(x-2y)}(x - y)}[/tex]

[tex] \tt : \implies \dfrac{x + 3y}{x - y}[/tex]

Hence, answer is [tex] \boxed{\bf \dfrac{x + 3y}{x - y}}[/tex]

Answer:

i- um chile anywaysssss

Answer:greater,greater,15

The printing rate for Printer B is

greater

than the rate for Printer A because the rate of 25 pages per minute is

greater

than the rate of

15

pages per minute for Printer A.

The answers to the fill ups are:

(a) greater than

(b) greater than

(c) 15

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, slope for printer A= 30-2/2-0

                                    = 30/2 = 15 pages per minute.

So, the rate of Printer A is 15 pages per minute.

Thus,

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

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Answer:

D.

−2x + 2y − 8

Step-by-step explanation:

x − 9 − 3x + 2y + 3 − 2 ( collect like terms)

-2x + 2y - 8

x - 3x = -2x

2y = 2y

-9 + 3 - 2 = -8

Answer:

y=9x-4

OR

y-5=9(x-1)

(both are correct and equal)

Step-by-step explanation:

Parallel means slope is the same, so the slope of the equation should be 9.

Using point slope form:

[tex]y-5=9(x-1)[/tex]

Which would be:

[tex]y=9x-4[/tex]

in slope intercept form.

Hey there!

Answer:

y = 9x - 4

Step-by-step explanation:

The other guy already gave the explanation soo... but I got the same answer

Good luck!!  :D

The answer is D) 10gh

Answer: I think the correct answer would be d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

you forgot the number before times

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

Multiply all numbers to get -48

Answer:

3.1 liters

Step-by-step explanation:

Wells family- 8.5 gallons per week

McDonald family- 7.7 gallons per week

8.5 gallons= 32.3 liters approx.

7.7 gallons= 29.2 liters approx.

32.3-29.2=3.1 liters difference

Answer:

Step-by-step explanations:

As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .

Then :-

[tex]6y + 13y - 10 = 180[/tex]

[tex] 19y - 10 = 180[/tex]

[tex]19y = 180 + 10[/tex]

[tex]19y = 190[/tex]

[tex]y = \frac{190}{19} [/tex]

[tex]y = 10[/tex]

Which means :-

= 13y - 10

= 13 × 10 - 10

= 130 - 10

= 120°

Then angle 6y :-

= 6 × 10

= 60°

As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .

Which can be written as :-

[tex]60 + 9x + 12 = 180[/tex]

[tex]9x + 72 = 180[/tex]

[tex]9x = 180 - 72[/tex]

[tex]9x = 108[/tex]

[tex]x = \frac{108}{9} [/tex]

[tex]x = 12[/tex]

Then :-

= Angle 9x + 12

= 9 × 12 + 12

= 108 + 12

= 120°

Therefore , the value of y = 10 and the value of x = 12 .

The answer is option 2.      9 units left and 7 units down.

Answer:

B. 9 units left and 7 units down.

Step-by-step explanation:

If you're moving the top and left side of the box. Then the left side moves left 9 units and the top moves down 7.

Answer:

A

Step-by-step explanation:

1524y: this is your slope.

Notice it is positive. Thismust mean that your population can only increase. Therefore, C and D are wrong. Now what is increasing? 1524 each year.

Answer:

The last option

Step-by-step explanation:

The last option

Answer:

C

Step-by-step explanation:

Answer: anything honestly

Step-by-step explanation:I don't think it costs anything you only have to pay if you want specific accessories

Answer:

It is better on an iPhone and the game is free. Also, it is really personal preference!

Step-by-step explanation:

Answer:

C. Have a good day. :)

Step-by-step explanation:

Answer:

The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.

Step-by-step explanation:

The common multiples of 3 and 7 up to 70 are 21, 42, and 63. A multiple of a number a is a number that is the product of a and another number.

If the sum of 5 and x is 20, then the value of x will be 15.

It is given that the sum of 5 and x is 20.

Mathematically, it can be written as:

5 + x = 20

We have to find the value of x.

In order to find the value of x we need to separate the variable and constant.

For this, subtract 5 from both the sides:

5+x-5 = 20-5

5-5 +x = 20-5

Then, solve the operation of subtraction on both the sides of above equation.

0+x = 15   -------(A)

Since, when we add 0 to any quantity, the result will be this quantity itself.

So, 0+x = x -------(B)

From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.

Equation right sides of (A) and (B). We have:

x = 15

Hence, the value of x is 15.

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Answer:

Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's

Step-by-step explanation:

Given:

Esmeralda's garden = 25 square feet

Genevieve's garden = 4 square yards

Convert Genevieve's units (yards) to feet

Yards to feet

1 yard = 3 feet

4 yards = 4 * 3 feet

4 yards = 12 feet

Genevieve's garden = 12 square feet

Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's

Answer:

The answer is: Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's

Step-by-step explanation:

Answer:

2x - 7 = -1

x = 3

Step-by-step explanation:

Hope this Helps!

Plz Mark Brainliest!

Answer:

2x - 7 = -1    x = 3

Step-by-step explanation:

2x - 7 = -1

+7          +7

2x = 6

/2      /2

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

x = 3

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer: The triangles are similar

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

Explanation:

The square markers show that

angle RPQ = angle RST = 90 degrees

So that's one pair of congruent angles. Another pair of congruent angles is what you see in the diagram below. The angles marked in red are congruent alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Since we have two pairs of congruent angles, we can use the AA (angle angle) similarity theorem to prove the triangles congruent.

Answer:

Triangle PQR and RST are both right triangles but they do not share the same  side lengths. They also share the same point R, so I would say that they are similar only because they are both right triangles.

Step-by-step explanation:

Answer:

Pretty sure we would just say 3+x.

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

You want to find AB.

They give the equation for AB, BC, and AC

AC - BC = AB

substitute the equations

(30) - (8x + 3) = 6x + 8

30 - 8x - 3 = 6x + 8

27 - 8x = 6x + 8

     +8x  +8x

27 = 14x + 8

-8            -8

19 = 14x

19/14 = 14x/14

1.3571428 = x

0.1 = tenth

1.4 = x

Substitute x into the equation for AB

6(1.4) + 8

16.4

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~First~you~need~to~make~an~equation:[/tex]

[tex]2.)~Add~30~and~3~to~get~33:[/tex]

[tex]3.)~Subtract~6x~from~both~sides:[/tex]

[tex]4.)~Combine -8x~and~-6x:[/tex]

[tex]5.)~Subtract~33~from~both~sides:[/tex]

[tex]5.)~Divide~both~sides~by~-14:[/tex]

[tex]6.)~Simplify:[/tex]

[tex](To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)[/tex]

______________________________

[tex]\bold{Answer:}[/tex]

______________________________

[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]