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sasho [114]
2 years ago
8

Can someone help me some this

Mathematics
2 answers:
Kamila [148]2 years ago
8 0

Answer:

y = \dfrac12x^2 - 4x + 6

Step-by-step explanation:

vertex form of parabola:  y = a(x - h)² + k

where (h, k) is the vertex

Given vertex = (4, -2) :

⇒ y = a(x - 4)² - 2

Given y-intercept = (0, 6) substitute values into equation and solve for a:

⇒ 6 = a(0 - 4)² - 2

⇒ 6 = 16a - 2

⇒ 16a = 8

⇒ a = 1/2

Therefore, equation of parabola:

⇒ y = 1/2(x - 4)² - 2

⇒ y = 1/2(x² - 8x + 16) - 2

⇒ y = (1/2)x² - 4x + 6

Ksenya-84 [330]2 years ago
3 0

Answer:

just think(0,6) as A,(4,-2) as B and (6,0)as C then join ABC and you will get your's parabola

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Answer:

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Step-by-step explanation:

5 0
3 years ago
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A recipe for homemade clay calls for 6 cups of water for every 12 cups. How many cups of water are needed when 4 cups of flour a
pochemuha

Answer:

2 cups of clay

Step-by-step explanation:

Given data

we are given that  6 cups of water for every 12 cups of clay

  i.e

12 cups of clay require 6 cups of water

4 cups of clay will require x cups of water

cross multiply

12x= 4*6

12x= 24

divide both sides  by 12

x= 24/12

x= 2cups

Hence 4 cups of water will require 2 cups of clay

6 0
3 years ago
A bakery will make 5,400 graham crackers. The graham crackers are packaged in boxes of 60. How many boxes of graham crackers wil
inna [77]

Answer:

90 boxes

Step-by-step explanation:

If you divide 5,400 by 60 you get 90. Hope this helps, let me know if correct, and have a great day!!

8 0
3 years ago
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Find the value of x in the below complementary angle 3x(5x+2)​
Natali [406]

Answer:

The value of x is 11

Step-by-step explanation:

<em>Two angles are complementary if the sum of their measures is 90°</em>

Let us use this rule to solve our question

∵ The angle of measure (3x)° and the angle of measure (5x + 2)°

   are complementary angles

→ That means their sum equals 90°

∴ 3x + 5x + 2 = 90

→ Add the like terms in the left side

∵ (3x + 5x) + 2 = 90

∴ 8x + 2 = 90

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ 8x + 2 - 2 = 90 - 2

∴ 8x = 88

→ Divide both sides by 8 to find x

∵ 8x/8 = 88/8

∴ x = 11

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7 0
3 years ago
A child walks due east on the deck of a ship at 3 miles perhour.
VladimirAG [237]

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

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Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

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= sqrt(265)

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From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

6 0
3 years ago
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