(2x2 – 18)(x+3)(2 – 3) = 2x4 – 36x2 + 162

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A number is divisible by 9 if the sum of its digits is divisible by 9.

Look :

[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]

Thus 186,426 is divisible by 9 .

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Also a number is divisible by 3 if the sum of its digits is divisible by 3.

Look :

[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]

Thus 186,426 is divisible by 3 .

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Answer:

The coordinates of the centroid are:

[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]

The diagram is also attached below.

Step-by-step explanation:

Given the vertices

We know that the intersection of medians brings the centroid of the triangle.

The centroid of a triangle is given by

[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]

In this example,

[tex]P_x=-1,\:P_y=7[/tex]

[tex]Qx=9,\:Q_y=5[/tex]

[tex]Rx=4,\:R_y=3[/tex]

substituting in the formula

[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]

[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]

[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]

Therefore, the coordinates of the centroid are:

[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]

The diagram is also attached below.

We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.

★ Centroid of a triangle :-

We have :

Substituting the values :

★ For x co-ordinate:-

[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]

★ For y co-ordinate:-

[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]

★ Henceforth,

Additional Information :

★ Midpoint of two points:-

★ Distance Formula :-

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Answer:

B=4

Step-by-step explanation:

The Y intercept is where the line meets with the middle of the graph

Answer:

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

−15>−16+y

Step 1: Simplify both sides of the inequality.

−15>y−16

Step 2: Flip the equation.

y−16<−15

Step 3: Add 16 to both sides.

y−16+16<−15+16

y<1

Answer:

y<1

Answer:

5 hours

Step-by-step explanation:

35x+25 = 40x

25=5x

x= hours

Answer:

.........................

Answer: 140?

I am not really sure but I think 140......

Answer:

The answer to this is 7.

a+2

5+2

7

Answer:

B

Step-by-step explanation:

Answer:

: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

Step-by-step explanation:

includeing zero

add as brainleist plz

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Answer:

X=11

Step-by-step explanation:

-6x both sides of = sign

+ 15 both sides of = sign

x=11

Answer:

70 miles per hour

Step-by-step explanation:

Answer:

A car can travel up to 240 km in 4 hours.

Step-by-step explanation:

A car travels 60 MPH meaning 60(miles) times 4(hours) is 240.

Answer:

They should pay $12 each

Answer:

about 12 dollars probably more with tax maybe around 12.03

Answer:

6

Step-by-step explanation:

Answer:

The Correct Answer is 2

Step-by-step explanation:

Trust me for I have the skills of a scientist

Answer:374

Step-by-step explanation:

you add them all then get the total

we will eat chocolate of rupee 1 and divide other amount ofoney equally

Answer:

4

Step-by-step explanation:

2^2 - (2)(-2) - (-2)^2

=4+4-4

=4

2² - (2 × -2) - (-2²)

= 4 - (-4) - 4

= 4 + 4 - 4

= 8 - 4

= 4

Answer:

600

Step-by-step explanation:

Last years enrollment was 100% of the number.

This year, the enrollment went up by 10%, so now, it's 110% of last years number.

Let last year's enrollment be x.

110% of x is 660

1.1x = 660

x = 660/1.1

x = 600

Answer: 600

Answer:

600

Step-by-step explanation:

Answer:

no correlation

Step-by-step explanation:

the dots are all scattered randomly

Answer:

140 beads.

Step-by-step explanation:

Hope this helps. :)

Answer: 105 Cars

Step-by-step explanation: To get an increase of 25% you need to multiply 84 by .25 then add the product of that to 84 to get 105

The number of cars dealership need to sell to reach their goal is, 105 cars

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

A car dealership sold 84 cars in April,

The dealership wants to increase the number of cars sold by 25% in May

The number of cars dealership need to sell to reach their goal = ?

This represents a 25% increase, which is the same as adding one quarter to the original number of cars sold.

The car dealership wants to increase the number of cars sold by 25% in May, which means that they want to sell,

⇒ 84 x 1.25 = 105 cars

So, the dealership will need to sell 105 cars in May in order to reach their goal of increasing the number of cars sold by 25%.

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Answer:

Um... ithink it would be 3 but please tell me and correct me if im wrong

Step-by-step explanation:

Answer:

may be 5 times is answer but I am not sure I have done 5 times I got like this

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

Answer:

-27 °C

Step-by-step explanation:

-15 -12 = -27

Answer:

3/4

Step-by-step explanation:

Answer:

Commutative

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