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3 years ago

What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find - b/2 = - 4, so -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

y= (x- b2) 2 + c - b2

y= (x+4) 2 - 17

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Y=3x-1 identify the slope and y-intercerpt

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Step-by-step explanation: This is right bro. 100%

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3 years ago

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3 years ago

Find the slope of the line through the points (-5, 2) and (5,0).

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3 years ago

£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time

Korvikt [17]

The share of Natasha is £ 42

Solution:

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

$z = \frac{y}{3}$ ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

$2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21$

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0

3 years ago

The model includes a new park in the center of the city. If the dimensions of the

11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

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3 years ago