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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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QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

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QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

{l}^{2}  +  {33}^{2}  =  {55}^{2}

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We want to find the distance between,

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d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the values to get,

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