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vfiekz [6]
3 years ago
12

A stick l feet long broken into two parts, one of which is twice as long as the other. How long is the shorter piece? Use algebr

a
Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long

Step-by-step explanation:

It is given that

The stick is L feet long

And, the two pieces are x and y

Now according to the question

It is given that

one of which is twice as long as the other

so,  

x = 2y

x + y = L

Put the value of x in the above equation

So,  

2y + y = L

3y = L

Now divide by 3

y = L ÷ 3

Hence, the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long

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What are the solutions of the equation 6x2 + x-1=0 ?
Aleksandr [31]

Answer:

<u>Options B and D</u>

Step-by-step explanation:

6x² + x - 1 = 0

6x² + 3x - 2x - 1 = 0

3x(2x + 1) - 1(2x + 1) = 0

(3x - 1)(2x + 1)

x = 1/3 and -1/2

<u>Options B and D</u>

6 0
2 years ago
The expression (3x^3y^2)^3is equivalent to
dsp73

Answer:

The expression is equivalent to 27 x⁹ y⁶.

Step-by-step explanation:

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3 years ago
How to simplify (-12)-7×(-12)7
Strike441 [17]
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3 years ago
Solve the inequality for <br> 8w-35&lt; 3−(5-4w)<br><br> Simplify the answer as much as possible
Finger [1]

Answer:

w<33/4

Step-by-step explanation:

8w-35<3-(5-4w)

8w-35<3-5+4w

8w-35<-2+4w

8w-4w-35<-2

4w-35<-2

4w<-2+35

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7 0
3 years ago
What is the solution to this system of equations?
mixas84 [53]

Answer:

(-2,4)

Step-by-step explanation:

The solution is the point at which the two lines intersect, (-2,4).  That point is the only one that satisfies (works) in both equations:

y = x + 6

4 = -2 + 6

and

y = -0.5x + 3

4 = -0.5(-2) + 3

4 = 1 + 3

====

You can also solve it algebraically:

y = x + 6

y = -0.5x + 3

-0.5x + 3 = x + 6   [Use the value of y from the second equation in the first equation]

-1.5x = 3

x = -2

Use this is y = -2 + 6:

y = 4

(-2,4)

5 0
2 years ago
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