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Snezhnost [94]
3 years ago
9

If segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

Answer:

<h2>C . 7 units</h2>

Step-by-step explanation:

The question is lacking appropriate diagram. Find the diagram to the question attached.

From the diagram, it can be seen that AD = AB+BC+CD

Given the following

AD = 23units

AB = 4units

CD = 12units

To get C=BC, we will substitute the given segments into the expression above as shown;

23 = 4+BC+12

23 = BC + 4 + 12

23 = BC+16

Subtract 16 from both sides

23-16 = BC+16-16

7 = BC

<em></em>

<em>Hence the length of segment BC is 7units.</em>

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geniusboy [140]

Answer:

f(x) = 8(1/2)^x.

Step-by-step explanation:

According to the graph, there is a point at (0, 8) and (1, 4).

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3 years ago
Find the roots of the quadratic equation w+w²/3=0​
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I assume that the equation you mean is below:

\large \boxed{w +  \frac{ {w}^{2} }{3}  = 0}

To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.

\large{w(3) +  \frac{ {w}^{2} }{3} (3) = 0(3)} \\  \large{3w +  {w}^{2}  = 0}

Factor w-term out (common factor)

\large{w(3 + w) = 0} \\  \large{w = 0 \:  \:  \:  or \:  \:  \: 3 + w = 0} \\  \large{w = 0, - 3}

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2 years ago
X+6y=27<br> 7x-3y=9 por metodo de igualacion
GalinKa [24]

Answer:

(3,4)

Step-by-step explanation:

The system of equations is:

x+6y=27

7x-3y=9.

I looked up "metodo de igualacion". It is basically American for doing substitution.

However, the only difference is you are asked to solve both equations for a variable.

The first equation looks easy to solve for x. So I'm going to solve both equations for x.

x+6y=27

Subtract 6y on both sides:

x     =-6y+27

7x-3y=9

Add 3y on both sides:

7x    =3y+9

Divide both sides by 7:

x     =3/7 y +9/7

So both equations are solved for x.  You want to find when the x's are the same because you are looking for a common amongst the lines given.

So we have

-6y+27=3/7 y  +9/7

I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:

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Now add 42y on both sides:

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Subtract 9 on both sides:

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Divide both sides by 45:

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If 4=y, then y=4.

So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.

I like the x=-6y+27 with y=4.

So replace y with giving you:

x=-6(4)+27

x=-24+27

x=3

So the solution is (x,y)=(3,4).

x=3 and y=4.

8 0
3 years ago
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