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Sidana [21]
3 years ago
14

Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,

what is the constant on the right side of the equation? -32 112 160 which one
Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:


Step-by-step explanation:

I dont quite understand the problem but this is one way to solve it using completing the square:-

2x^2 + 8x - 12 = 0

2(x^2 + 4x) - 12 =  0

2((x + 2)^2 - 4)  = 12

2(x + 2)^2 - 8 + 8 = 12 + 8

2(x + 2)^2 = 20

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Help!
MAXImum [283]

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

6 0
3 years ago
FIND AREA OF REGULAR POLYGON - GEOMETRY
Komok [63]

Answer:

286

Step-by-step explanation:

(4 * 13) / 2 = 26

26 * 11 = 286

5 0
2 years ago
What is the greatest common factor for 30,48,60 and whats the GCF ??????
Svetach [21]
30 = 2 * 3 * 5 

<span>48 = 2⁴ * 3 
</span>
<span>60 = 2² * 3 * 5 

</span><span>GCF = 2 * 3 = 6</span>
4 0
3 years ago
Read 2 more answers
The rate at which Pete’s Bakery can make pies is shown in the graph.
Mashutka [201]
I think the answer would be 17 pies
5 0
3 years ago
Read 2 more answers
Help pls look at question, I'm confused so yeah.
lions [1.4K]

Answer

225 ml

Step-by-step explanation:

90 ml =2 parts

1 part=45

5 parts= 225

5 0
3 years ago
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