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3 years ago

How is subtracting-4x from 9x similar to subtracting -4 from 9?

1 answer:

4 0

Question:

How is subtracting -4x from 9x similar to subtraction -4 from 9?

Answer:

If both of them have the same variable lets say this:

2a + 2a = 4a
Just add 2 + 2 and then keep the a later at the end since they both have the same letter.

So in this case, it will be the same as subtracting -4 from 9 because they both have the same variables so the x would stay the same:

-4x + 9x = 5x
would be the answer.

Hope this helped!

~Shane

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What is the area of the 3.1 by 1.4 rectangle?

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Answer: 4.34

Step-by-step explanation:

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3 years ago

If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will

Tema [17]

Answer:

Hence after 3.98 sec i.e 4 sec Object will hit the ground .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec

To Find:

Time in seconds after which it will hit the ground?

Solution:

This problem is related to projectile motion for object

First calculate the Range for object and it is given by ,

$R=v^2Sin$ (2Ф)/ $g$

Here R= range g= acceleration due to gravity =9.8 m/sec^2

1m =3.2 feet

So 9.8 m, equals to 9.8 *3.2=31.36 ft

So g=31.36 ft/sec^2. and 2Ф=2(28)=56

$R=133^2*Sin(56)/31.36$

$R=14664.84/31.36$

$R=467.62$ fts

Now using Formula for time and range as

$R=VxT$

Vx is horizontal velocity

$Vx=V*cos$ Ф

$Vx=133*cos$ (28)

$Vx=117.43$ ft/sec

So above equation becomes as ,

$467.62=117.43*T$

$T=467.62/117.43$

$T=3.98 sec$

T is approximately equals to 4 sec.

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3 years ago

Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if necessary.

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Hope you won't be turned off by a correction, but we really need to use the symbol " ^ " to denote exponentiation.

Thus, we have x^2 = 100

Taking the square root of both sides, we get x = plus or minus 10. Verify, please, that both x = -10 and x = +10 satisfy the given equation.

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3 years ago

In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of f

exis [7]

Answer:

1,712,304 ways

Step-by-step explanation:

This problem bothers on combination

Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;

48C5 = 48!/(48-5)!5!

48C5 = 48!/43!5!

48C5 = 48×47×46×45×44×43!/43!5!

48C5 = 48×47×46×45×44/5!

48C5 = 205,476,480/120

48C5 = 1,712,304

Hence this can be done in 1,712,304ways

3 0

3 years ago

Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into

yulyashka [42]

The equation of the line is $y = (3/5)x + 26/5$

Step-by-step explanation:

The line passes through the point (2,-4).
The line has the slope of 3/5.

To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.

The equation of the line when a point and slope is given :

⇒ $(y-y1) = m(x-x1)$

where,

m is the slope of the line.
(x1,y1) is the point (2.-4) in which the line passes through.

Therefore, the equation of the line can be framed by,

⇒ $(y-(-4)) = 3/5 (x-2)$

⇒ $(y+4) = 3/5(x-2)$

Take the denominator 5 to the left side of the equation.

⇒ $5(y+4) = 3(x-2)$

Now, multiply the number outside the bracket to each term inside the bracket.

⇒ $5y+20 = 3x -6$

⇒ $5y = 3x-26$

Divide by 5 on both sides of the equation,

⇒ $y = (3/5)x + 26/5$

Therefore, the equation of the line is $y = (3/5)x + 26/5$

4 0

3 years ago

Read 2 more answers