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12345 [234]
3 years ago
8

The slope of the line below is -3 which of the following is the point-slope form of the line? (2, -2)

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

y+2=-3(x-2)

Step-by-step explanation:

y+2=-3(x-2)

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1. Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.
N76 [4]

Answer:-

Central angle , Ф/2π , A = Ф/2 r²

The ratio is 1/3 , V = 1/3 Bh

The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

Step-by-step explanation:

* Lets revise the rules of the area of the sector of a circle

- The area of the sector which has a central angle Ф° is

  (Ф°/360°) × πr², where 360° is the measure of the circle and r is

  the radius of the circle

- The area of the sector which has a central angle Ф radians is

  (1/2) r²Ф

* Lets complete the missing in the 1st picture

- The ratio of the sector's area A to the circle's area is equal to the

  ratio of the <u>central angle</u> to the measure of a full rotation of the circle

- A full rotation of a circle is 2π. This proportion can written as

 A/πr² = <u>Ф/2π</u>

<em>- </em>Multiply both sides by πr² to get <u>A = Ф/2 r²</u> where Ф is the measure

 of the central angle and r is the radius of the circle

* Lets revise the rules of the volume of the prism and the volume

 of the pyramid, where they have the same base and height

- The volume of the prism = area of the base × its height

- The volume of the pyramid = 1/3 × area of the base × its height

- From them the ratio of the volume of the pyramid to the volume

 of the prism is <u>1/3</u>

- The formula of the volume of the prism is V = Bh, where B is the

  area of the base and h is the height, the formula of the volume

  of the pyramid is <u>V = 1/3 Bh</u>

<u></u>

* Lets revise the standard form of the equation of a circle with

 center (h , k) and radius r

- The equation is: (x - h)² + (y - k)² = r²

∴ x² - 2hx + h² + y² - 2ky + k² - r² = 0

∵ x² - 8x + y² - 2y - 8 = 0

- Lets equate the two equation

∴ x² - 2hx + h² + y² - 2ky + k² - r² = x² - 8x + y² - 2y - 8 = 0

∵ -2h = -8 ⇒ ÷ -2

∴ h = 4

∵ -2k = -2 ⇒ ÷ -2

∴ k = 1

∵ h² + k² - r² = -8

∴ (4)² + (1)² - r² = -8

∴ 16 + 1 - r² = -8

∴ 17 - r² = -8 ⇒ subtract 17 from both sides

∴ -r² = -15 × -1

∴ r² = 25

* Substitute the values of h , k , r in the equation of the standard

 form of the circle

∴ (x - 4)² + (k - 1)² = 25

* The equation of the circle in standard form is <u>(x - 4)² + (k - 1)² = 25</u>

<u></u>

8 0
3 years ago
Store A: 12 pack for $3.00 Store B: 22 pack for $5.50 Store C: 18 pack for $4.75 Store D: 36 pack for $8.00 There is a sale on s
Sergio039 [100]

Answer: Store D: 36 pack for $8.00

◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊

<h3>STEP - BY - STEP EXPLANATION</h3>

◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊

You have to divide the amount of money by the pack number. So A would be 0.25 cents per soda. B would be 0.25 cents per soda. C would be 0.26 cents per soda. And finally, D would be 0.22 cents per soda. Therefore Store D would be the best buy.

Hope this helps!!!!!!!!! ◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊◊

8 0
3 years ago
Read 2 more answers
Describe all the numbers that when rounded to the nearest thousand are 645,000​
andrezito [222]

Answer: 10  including 645,000

Step-by-step explanation:

644,995

644,996

664,997

664,998

664,999

665,000

665,001

665,002

665,003

665,004

8 0
3 years ago
in the classroom there are 60 student among them the ratio of boys and girls is 2:3 find the number of boys and girl​
ra1l [238]

Answer:

boys = 24 \\ girls = 36

Step-by-step explanation:

2 : 3 \\ 2 + 3 = 5 \\  \\  \frac{60}{5}  = 12 \\  \\  \: boys \:  \:  \:  : girls\\ \:  2 \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \: :  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 3 \\ 12 \times 2 : 12 \times 3 \\  \:  \: 24 \:  \:  \:  \:  \:  \:  \:  \:  :  \:  \:  \: 36

6 0
3 years ago
Read 2 more answers
S=Ut + 1\2 at^2
andreev551 [17]
S=10(1/2)+ 1/2(-2)(0.5)^2
=5+ (-1)(0.25)
=5-0.25
=4.75

Hope this can help.
6 0
2 years ago
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