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EastWind [94]
3 years ago
14

Simply the expression 4(x + 5)

Mathematics
2 answers:
shusha [124]3 years ago
6 0

That expression can be expanded to be . . . <em>4x + 20</em> .

But the original one is simpler.

Rom4ik [11]3 years ago
5 0
You distribute the four so it would be 4x+20
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Please help me, Geometry is really hard for me.
OverLord2011 [107]

Answer:

Step-by-step explanation:

the answers c.

7 0
3 years ago
1 + 2k = 5k + 7 I got k=2 don't know if it's the right answer ?
DochEvi [55]
You are close, but it is not the correct answer.

1 + 2k = 5k + 7

First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side. 
2k = 5k + 7 - 1

Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.
2k - 5k = 6

Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive. 
-3k = 6

Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
k = - \frac{6}{3}

Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!
k = -2

Answer: \fbox {k = -2}
4 0
4 years ago
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re
ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which \theta is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = 2\pi radians

So, the change in angle with respect to t ( time ),

\frac{d\theta}{dt}=8\pi\text{ radians per min}

Let x be the distance of beam from P,

\implies \tan \theta = \frac{x}{2}

Differentiating with respect to x,

\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}

(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}

(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}

If x = 1 km,

(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}

\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}

\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

7 0
4 years ago
M is the midpoint of AB. find the coordinates of B if M= (-1,1) and A= (2,6)
fenix001 [56]
The other coordinate B is = (-4,-4)
5 0
3 years ago
❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
anygoal [31]
Hi there!

Since the triangle is equilateral, all of its sides are congruent. This means that to solve, we can set the two given equations equal to each other.

2(x - 8) = 1/2x + 8
2x - 16 = 1/2x + 8
1.5x - 16 = 8
1.5x = 24
x = 16

Now that we know what x is, we can plug that in for x in the equation for ZY.

2(16 - 8) = ZY
ZY = 2(8)
ZY = 16 units

And here is the work to show that XZ is also 16.

1/2(16) + 8 = XZ
XZ = 8 + 8
XZ = 16

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
5 0
4 years ago
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