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3 years ago

What is the solution of 4x+9=2x-6?

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

4x+9=2x−6

Step 1: Subtract 2x from both sides.

4x+9−2x=2x−6−2x

2x+9=−6

Step 2: Subtract 9 from both sides.

2x+9−9=−6−9

2x=−15

Step 3: Divide both sides by 2.

−15

Answer:

x=-15/2

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y depends on x hours so y-intercept represent the hourly wage.

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3 years ago

Read 2 more answers

Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,

Sphinxa [80]

Answer:

57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

y = kx

It can be found from values of x and y using ...

k = y/x

For the given values, it is ...

k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

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4 years ago

A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an

liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

when the angle is 30 degrees

$tan(30) = \frac{6000}{d1}$

$d1 = \frac{6000}{tan(30)}$

$d1 = \frac{6000}{0.577}$

d1 = 10392.3 meters

when the angle is 60 degrees

$tan(60) = \frac{6000}{d2}$

$d2 = \frac{6000}{tan(60)}$

$d2 = \frac{6000}{1.732}\\$

d2 = 3464.1 meters

distance travelled by aircraft in 1 min is

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

Now converting to m/sec

=> $\frac{6928.2}{60}$

=>115.47 m/sec

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3 years ago

Find the total surface area of this triangular prism.

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Answer:

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Jet001 [13]

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