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3 years ago

What are the steps to solve 3(x-3)+2x+9=2x + 2(x-1

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

Step-by-step explanation:

3x - 9 +2x + 9 = 2x - 2

5x = 2x - 2

5x - 2x = - 2

3x = - 2

x= - 2/ 3

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Finger [1]

He bought 3 small notebooks (3*7=21) and 3 large notebooks (3*10=30)
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2 years ago

Read 2 more answers

ehidna [41]

Answer:

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3 years ago

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natita [175]

1.) 14

2.) 10

3.) 7 : 6

5.) 80

6.) 8 : 7

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2 years ago

PLZ HELP

maria [59]

Answer:

Step-by-step explanation:

Following changes will be there when the figure is transformed by the given rules.

1). Rule for transformation has been given as,

(x, y) → (x, -y)

Reflection across x axis.

2). (x, y) → (-x, -y)

Rotation of 180° about the origin.

3). (x, y) → (x - 4, y)

Shifted 4 units left horizontally.

4). (x, y) → (x, y + 3)

Shifted vertically up by 3 units

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2 years ago

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6

USPshnik [31]

LORAN follows an hyperbolic path.

The equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

The coordinates are given as:

$\mathbf{(x,y) = (-60,0)\ (60,0)}$

The center of the hyperbola is

$\mathbf{(h,k) = (0,0)}$

The distance from the center to the focal points is given as:

$\mathbf{c = 60}$

Square both sides

$\mathbf{c^2 = 3600}$

The distance from the receiver to the transmitters is given as:

$\mathbf{2a = 100}$

Divide both sides by 2

$\mathbf{a = 50}$

Square both sides

$\mathbf{a^2 = 2500}$

We have:

$\mathbf{b^2 = c^2 - a^2}$

This gives

$\mathbf{b^2 = 3600 - 2500}$

$\mathbf{b^2 = 1100}$

The equation of an hyperbola is:

$\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}$

So, we have:

$\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}$

$\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Hence, the equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$