evaluate a+b for a= -9 and b=6

Answer:

-2

Step-by-step explanation:

Gradient of perpendicular lines is -1

so divide -1 by ½

u get -2

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[tex]d = \sqrt{ ({2 - 4})^{2} + ({7 - 2})^{2} } [/tex]

[tex]d = \sqrt{ ({ - 2})^{2} + ({5})^{2} } [/tex]

[tex]d = \sqrt{4 + 25} [/tex]

[tex]d = \sqrt{29} [/tex]

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hi!

so the original equation is (x^2 -121) / x+ 11.

Those two equations look similar...

well, we know that the top equation looks like a^2 - b^2, and that equation iis equivalent to this equation: (a+b)(a-b).

So if we factor that out, we get:

( (x + 11) * (x-11) )/ (x + 11)

we can cancel the x+11 on the top and the x+11 on the bottom out.

that leaves us with x-11.

Hope this helped!

Answer: x=3

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

i got 100%

Answer:

A)

[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]

B)

[tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]

C)

= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]

D)

= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

[tex]\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}[/tex]

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= [tex]\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}[/tex]

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= [tex]\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}[/tex]

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= [tex]\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}[/tex]

Answer:

A

Step-by-step explanation:

Mother Russia is the mother land

Answer:

See comment

Step-by-step explanation:

13 lawns

Answer:

Step-by-step explanation:

8).  [tex]\left \{ {{4x+3y=1} \atop {x+y=2}} \right.[/tex]

(2) × [ - 3 ]

4x + 3y = 1 ........ (3)

- 3x - 3y = - 6 .... (4)

(3) + (4)

x = - 5

- 5 + y = 2 ⇒ y = 7

( - 5 , 7 )

9). [tex]\left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.[/tex]

(1) ÷ [- 3]

3x - y = - 6  ......... (3)

2x + y = - 4 ........ (4)

(3) + (4)

5x = - 10 ⇒ x = - 2

2(- 2) + y = - 4 ⇒ y = 0

(- 2, 0)

10). [tex]\left \{ {{x-2y=14} \atop {10x-6y=0}} \right.[/tex]

(2) ÷ 10

x - 0.6y = 0 ⇒ x = 0.6y -----> (1)

0.6y - 2y = 14

- 1.4y = 14

y = - 10

x - 2(- 10) = 14 ⇒ x = - 6

(- 6, - 10)

Now is your turn, you can do it!!

C. 5

Step-by-step explanation:

The coeff of

[tex] {x}^{5} [/tex]

Is 15.

So by that we can write 3m = 15

m is 5.

Answer:

7500 milliliters

Step-by-step explanation:

7.5*1000

Answer:

13

Step-by-step explanation:

cos(60) =building height / 26

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

let n1 be the degree of freedom of factor A

Let n2 be the degree of freedom of factor B

If there are 5 levels of factor A, then n1 = 5

If there are 7 levels of Factor B then n2 = 7

The interaction between the degrees of freedom is expressed using the formula;

df = (n1 - 1)+(n2 - 1)

df = n1 -1 + n2- 1

df = n1+n2 -2

Substitute n1 and n2 and get df

df = 5+7-2

df = 12-2

df = 10

Hence the interaction  degree of freedom is 10

Answer:

lol done

Step-by-step explanation:

Answer:

the answer is -6

Step-by-step explanation:

the median is the number that is directly in the middle of a sequence of numbers

Answer:

1 1/4 inches deeper

Step-by-step explanation:

Answer:

$33.48

Step-by-step explanation:

Answer: 1, -1, 1, -1

Step-by-step explanation:

if it the power is odd and there is parenthesis the answer will be negative. If it is even then the answer will be positive

Answer:1, -1, 1, -1

Step-by-step explanation:

Even power results in positive for negative numbers, odd power results in negative for negative numbers

Answer:

only 1 way

Step-by-step explanation:

both of them give their Rs.100 so now it's Rs.200 so pay RS 200 and they'll get Rs 50 as the remain

The number of ways of spending Rs. 150 will be 3.

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Given that Raman and Raj go to a party each having Rs. 100, If they decide to expend Rs. 150.

The number of the spending will be calculated as,

Raman + Raj = 150

100 + 50 = 150

50 + 100 = 150

75 + 75 = 150

The number of ways will be three.

To know more about permutation and combination follow

https://brainly.com/question/4658834

#SPJ2

Answer:

-5+32=27

Step-by-step explanation:

-5+32=27

Hope I helped!

Answer: 27

Step-by-step explanation:

you cross out the 3, taking 1 away, turning that 3 to a 2, then crossing out that 2 in 32, you get 12 by adding the 1 with the 2, if that makes sense (I haven't done regrouping in a while) 12-5 is 7, and then the 3, thats now a 2 in 32, 2-0= 2, so you'd result with 27 (if that makes sense at all, I hope it did)

Answer:

1:4

Step-by-step explanation:

24/2=12

6/2=3

12/3=4

3/3=1

So the ratio is 1:4

Answer:

1) (-3,0) (0,-3)

2) (-2,0)

3) (5,0) (0,-1)

4) (12,0) (0,3)

5) (-16,0) (0,4)

6) (-0.8333,0) (0,5)

Hello!

Slope formula:

y2-y1/x2-x1

y2: 8

y1: 1

x2: -7

x1: -6

Plug given values into the equation:

8-1/-7 - (-6)

Subtract

7/-1

Divide

-7

The slope is -7

Answer:

-7

Step-by-step explanation:

Since we have 2 points, we can use the slope formula

m = ( y2-y1) /(x2-x1)

    = ( 8-1)/( -7 - -6)

   = ( 8-1) / ( -7+6)

   = 7/ -1

  = -7