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Serhud [2]
3 years ago
10

Please explain your answer as well. THX!!

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

option b

6 C 2 + 6

Step-by-step explanation:

Given in the question that,

number of pink beans = 87

number of purple beans = 74

number of white beans = 35

number of black beans = 70

number of orange beans = 25

number of green beans = 47

<h3>Step 1</h3>

if two beans selected are different

6 C 2

(6 colours of beans)

<h3>Step 2</h3>

if two beans selected are same

6 C 1 = 6

(6 colours of beans)

<h3>Step 3 </h3>

total sample space will be

6 C 2 + 6

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Use the distributive property to rewrite the expression 3 (2+11)
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3(2+11) = 3x2 + 3x11

Step-by-step explanation:

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Which of the following represents the difference between the central angles of the above regular polygons? Round to the nearest
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Step-by-step explanation:

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The product of twice a number and six is the same as the difference of eleven times the number and a
Naddik [55]

Answer:

X=-3/8 (x equals negative 3 over 8.)

Step-by-step explanation:

So, you have twice a number and six. That is going to be 2x*6, and that then simplifies into 12x. Now, 11 times the number, would be 11x. The difference between 11x and 3/8 would be 11x-3/8.

So, You now have 12x=11x-3/8.

Combine like factors. So, 12x-11x=-3/8.

Now, you have x=-3/8.

Hope this Helps!! (:

8 0
3 years ago
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0
3 years ago
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