X^2+4x+3
--------------
x^2-1


Reduce the above expression to its lowest terms

Scaled drawing shows representation of the correct sizes of the original object either being reduced or enlarged by a given amount

The correct response to Andre is that each length of the sides of Jada's drawing should be multiplied by two to make a scaled copy of the drawing

The reason the response is correct is as follows:

Question: The parts of the question that appear missing is as follows;

1. Andre makes the statement, in order to obtain the scaled copy, should he add 4 units to each of the dimensions of the sides of Jada's drawing

The question is, what should be the response to Andre

The response is as follows:

When making a scale drawing, it should be noted that the original drawing and the scaled copy of the drawing are to be similar figures. That is the ratio of their corresponding sides should be constant

The ratio of the corresponding sides of the scale drawing Andre wants to make is 8 units/(4 units) = 2 : 1

Therefore, the correct response is Andre should multiply each of the lengths of the sides of Jada's drawing by two to make a scaled drawing as follows

[tex]\begin{array}{|c|c|c|}\mathbf{Length \ on \ Jada's \ drawing}& \mathbf{Length \times 2 =} &\mathbf{Length \ of \ Andre's \ scaled \ copy}\\&&\\12& 12\times 2 =&24\\10& 10\times 2 =&20\\7& 7\times 2 =&14\\6& 6\times 2 =&12\\5& 5\times 2 =&10\\4& 4\times 2 =&8\end{array}\right][/tex]

The lengths of Andre's scaled copy are 8 units, 10 units, 12 units, 14 units, 20 units, and 24 units

Please find attached the required scaled drawing

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Answer:

There are 3 prime factors for 375 (1,3,5)

Step-by-step explanation:

Prime factors are prime numbers meaning they can't be further divided by a whole number.

The area of triangle will be 12x and perimeter of triangle will be 5x + 14.

The sides of a triangle which is divided into two parts i.e., a right angle triangle and a non-right angle triangle is given in figure.

We have to find area and perimeter of triangle using the data given.

What are the area and perimeter of a triangle ?

The area of triangle is A = [tex]\frac{1}{2}[/tex] × b × h and perimeter is sum of all sides i.e.,  P = a + b + c.

As per the fig. given in question ;

h = 3x

b = 8

The area of the given triangle will be ;

A = [tex]\frac{1}{2}[/tex] × b × h

A =  [tex]\frac{1}{2}[/tex] × 8 × 3x

A = 24x ÷ 2

A = 12x

The perimeter of triangle will be sum of all sides i.e.,

P = x + 9 + 4x - 3 + 8

P = 5x + 17 - 3

P = 5x + 14

Thus , the area of triangle will be 12x and perimeter of triangle will be 5x + 14.

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Answer:

Step-by-step explanation:

4) You just have to find the lcm of the denominators

a) lcm(4,3,6)=4*3=12

[tex]\dfrac{3}{4} x-\dfrac{2}{3} =\dfrac{1}{6}x\\\\12*(\dfrac{3}{4} x-\dfrac{2}{3}) =12*(\dfrac{1}{6}x)\\\\12*\dfrac{3}{4} x-12*\dfrac{2}{3} =12*\dfrac{1}{6}x\\\\9*x-8 =2*x\\\\9*x-2*x =8\\\\7*x=8\\\\x=\dfrac{8}{7} \\[/tex]

b) I don't know the name of the property but it is :

"We can multiply the two members of an equality by the same non-zero number, we obtain an equality. "

5)

[tex]-6x+10+8x=12-4x\\\\(-6x+10)+8x=12-4x\\\\8x+(-6x+10)=12-4x\\\\8x-6x+10=12-4x\\\\2x+10=12-4x\\....[/tex]

Answer:

-10

Step-by-step explanation:

the answer to the question is-10

Answer:

If it's addition then the answer is

-10

Answer:

3 1/3 ÷ 4/5 = 25/6 =4 1/6

Result in decimals: 4.1666666666667

Answer:

The answer is 5/4

For the first expression, 3 multiplies 3 plus 1 divided by the denominator 3

= 3×3 +1÷3

=10/3

then with the second expression, the division sign changes to a multiplication sign . Immediately it changes,4/5 turns to become 5/4

so now it will be

10/3×5/4

=15/12

=5/4

Answer:

4 photo frames

Step-by-step explanation:

Hope it will help you

it's 4 pieces of ribbon .

hope it's help you.........!!!!!!!!!!!!!!!!!!!

#rishu

Answer:

What can I help you with

Answer:

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

since it's a fraction you can divide

3 divided by 4 is 0.75

Answer:

hope this helps you

have a great day

Answer:

-6

Step-by-step explanation:

(/) is divide right?

[tex]( - 5 + 20) \div 5( - 2)[/tex]

[tex] - 5 + 20 = 20 - 5 = 15[/tex]

[tex]15 \div 5 \times ( - 2)[/tex]

[tex] - (15 \div 5 \times 2) = - (30 \div 5) [/tex]

[tex] = - 6[/tex]

[tex]\\ \sf\longmapsto (2^a\times 3^{2b})^5=6^{20}[/tex]

[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=(2\times 3)^{20}[/tex]

[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=2^{20}\times 3^{20}[/tex]

On comparing

[tex]\\ \sf\longmapsto 5a=20[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{20}{5}=4[/tex]

And

[tex]\\ \sf\longmapsto 10b=20[/tex]

[tex]\\ \sf\longmapsto b=\dfrac{20}{10}=2[/tex]

Answer:

10×18+8×18; You can also find the length of each side of the apartment, 18 and  10+8,  and then multiply 18(10+8)

Step-by-step explanation

The total area Room₁ and Room₂ = (A₁ + A₂) sq feet

                                                          = (180 + 144) sq feet

                                                          = 324 Sq feet.

In the given question

Length of the first room (l₁) = 18 feet

Width of the first room(w₁) = 10 feet

We know area of a rectangle is product of it's length and width.

∴ Area of the first room A₁ = (l₁ × w₁) sq feet

                                       A₁ = (18 × 10) sq feet

                                       A₁ = 180 sq feet.

Length of the second room (l₂) = 18 feet

Width of the second room (w₂) = 8 feet

∴ Area of the second room A₂ = (l₂ × w₂) sq feet

                                             A₂ = (18 × 8) sq feet

                                             A₂ = 144 sq feet.

∴The total area Room₁ and Room₂ = (A₁ + A₂) sq feet

                                                          = (180 + 144) sq feet

                                                          = 324 Sq feet.

Another way of finding the total area of the two rooms as we can see from the given figure both two rooms together form a square as the sides of the given sides which are 18 feet and (10 + 8) feet which is also 18 feet.

So, It is a square.

∴ Area of a square = (side)²                        (area of a square is product of            

                                                                                     two adjacent sides)

Area = (18)² sq feet

        = 324 sq feet.

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Answer:

138 kg / 6 = 23 kg per boy

Answer:

Round off to the two decimal places then plot on your Cartesian Plane

Answer:2.561,664¢ or roughly 25.61$.

Step-by-step explanation:

So, the air conditioner will cost 3.5 * 9.53 ¢ = 30.496 ¢ per hour running.

That means 30.496¢ * 12 = 365.952¢ or ≈3.65$ for a day.

Or 365.95¢ * 7 = 2.561,664¢ or ≈25.61$ for a week.

I'm vietanh and have fun studying!

Answer:

Answer is D

Step-by-step explanation:

Basically, when finding the perimeter you add up all the sides. So 10 + 5 + 11 which equals 26.

Answer:

[tex]3(4 {x}^{2} {y}^{3} + 2 {x}^{3}) - 4(9 {x}^{3} {y}^{2} - 6 {x}^{2} {y}^{3} ) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) - (36{x}^{3} {y}^{2} - 24{x}^{2} {y}^{3}) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) + ( - 36{x}^{3} {y}^{2} + 24{x}^{2} {y}^{3}) \\ = - 36{x}^{3} {y}^{2} + 36x^{2} {y}^{3} + 6 {x}^{3} [/tex]

I hope I helped you^_^

Answer:

x = -2

Step-by-step explanation:

Given f(x) = 3x – 1

f(x) = -7

3x-1 = -7

3x = -7+1

3x = -6

x = -2

Answer:

x = -22

Step-by-step explanation:

given:

[tex]f(x) = 3x - 1[/tex]

solve for x, when:

[tex]f(x) = -7[/tex]

replace x with -7

~~~~~~~~~~~~

➡️ [tex] x = 3(-7) - 1 [/tex]

➡️ [tex] x = -21 - 1 [/tex]

➡️ [tex]x = -22 [/tex]

Answer:

C.

Step-by-step explanation:

integer is a positive and negative number. integer is not a whole number because negative is not part of the whole number.

Step-by-step explanation:

RF (green) = 34/(12+14+34) = 34/60 = 0.57

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{34}{12+14+34}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{34}{60}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{17}{30}=0.57[/tex]

Answer:

x > 9

Step-by-step explanation:

since the dot is open there won't be a line under

In geometry, transformations are used to move a point or points from one position to another. The notation that describes how the blue function is transformed into the red function is -f(x)

I have attached the graph of both functions.

From the attached graph, we can see that the blue function is reflected over the x-axis to produce the red function.

Let:

[tex]f(x) \to[/tex] Blue

[tex]g(x) \to[/tex] Red

The transformation of reflection across the x-axis is:

[tex]g(x) = -f(x)[/tex]

Hence, the notation that describes how the blue function is transformed into the red function is -f(x)

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Answer:

x = ±sqrt(14)

Step-by-step explanation:

x^2 = 14

Take the square root of each side

sqrt(x^2) = ±sqrt(14)

x = ±sqrt(14)