The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

Answer:

C

Step-by-step explanation:

6(2m+5n)

12m+30n

Jacob had multiplied 6 to 2m right which is 12m but multiplied 6 and 5n wrong as he thought it was 11n yet it is 30n.

Answer:

Its - 2..................

Answer:

6

Step-by-step explanation:

Answer:

The first one is not liner

Step-by-step explanation:

This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

and we are done!

Answer:

478km2

Step-by-step explanation:

(13km×25km)+［11km×(7km+4km)］+(8km×4km)

=325km2+121km2+32km2

=478km2

hope this helps

Answer:

[tex]8*12[/tex]

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.

Answer:

which topic in math

Step-by-step explanation:

what grade are you in? hope it's not money

What subject is it????

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps you...

Answer:

B is correct

Step-by-step explanation:

7x -4 5/x-1

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

2a

Step-by-step explanation:

-a + a = 0, 0 + a = a. Therefore -a + 2a = a

Answer:

15 apples

Step-by-step explanation:

1.8= a x 0.12

1.8/0.12 = 15 apples

hope this helps!!

Answer:

5b?

cause ^-2 and b^-3 are going to be shortened..

I hope it's correct..

Answer:

36b - 45 - 18b = 9 ( 18b - 45 )

Step-by-step explanation:

36b - 45 - 18b = 9 ( _b - _ )

first combine like terms:

36b - 45 - 18b  

18b - 45

then just substitute the combined numbers into the brackets

9 ( _b - _  )

9 (18b - 45)

Answer:

9(2b-6)

Step-by-step explanation:

36b-45-18b=9

36b-18b-45-9=0

18b-54

9(2b-6) (Take 9 common from both)

Answer:

B is the correct answer I believe..

Step-by-step explanation:

Answer: I strongly believe it is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

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HOPE THIS HELPS!!!!!!!!!!!!!! :)

Answer:

60;40

Step-by-step explanation: 50* 2 = 100

so multiply every thing else by it to  

in simplest form tho itd be 3;2

Answer:

14.50

Step-by-step explanation:

Answer: Pythagorean theorem

Step-by-step explanation: cannot see the rectangle but I assume it’s the Pythagorean theorem

The sum of the area of all the rectangles will be 2a + 3a + 4a.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

The large rectangle has length a and width (2 + 3+ 4)

Area of the rectangle = L×W square units

A = a  (2 + 3+ 4)

A = 2a + 3a + 4a

Therefore, the area of the large rectangle is 2a+3a+4a

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ2

Answer:

9x+6

Step-by-step explanation:

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

Answer:

-56 is the discriminant of the given quadratic function

Answer:

7929

Step-by-step explanation:

it is 7929 because if u times 3 and 2640 it's 7929

Answer:

Step-by-step explanation:

We need to multiply 0.98 by 2 which is 1.96 now we need to divide 0.98 by two which is 0.49, so add those together and you have 2.45. Hope this helps :)

Answer and Step-by-step explanation:

AB = DC = 2x

AD = BC = 4y - 6 = 3x

180 = 2x + 2x + 3x + 3x = 10x

18 = x

4y - 6 = 3(18)

4y = 54 + 6

4y = 60

y = 15

18 = x

15 = y

2(18) + (4(15) - 6) + 3(18) + 2(18) = 36 + 36 + 54 + 54 =  180

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Answer:

C, you can use rotations to describe a change in the position of a figure.