Answer:
Step-by-step explanation:
The unit vector for a nonzero vector, say u, in the direction of u is given by:
û = 
---------------(i)
Where;
|u| = magnitude of vector u
From the question;
u = (4, -4)
First let's calculate the magnitude of u as follows;
|u| = 
|u| = 
|u| = 
= 
Now, substitute u and |u| into equation (i) as follows;
û = 
û = 
û =
Therefore, the unit vector is
The product in simplest form is (x - 4)
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
We have to find the product in simplest form
In the given expression,
2x + 8 = 2(x+ 4)
We know that,
Therefore,
Substitute these in given expression
Cancel the common factors,
Thus the product in simplest form is (x - 4)
Answer
∴ The true statement is Answer:
The true statement is BD ≅ CE ⇒ 3rd answer
Step-by-step explanation:
- There is a line contained points B , C , D , E
- All points are equal distance from each other
- That means the distance of BC equal the distance of CD and equal
the distance of DE
∴ BC = CD = DE
- That means the line id divided into 3 equal parts, each part is one
third the line
∴ BC = 1/3 BE
∴ CD = 1/3 BE
∴ DE = 1/3 BE
∵ BC = CD
∴ C is the mid-point of BD
∴ BC = 1/2 BD
∵ CD = DE
∴ D is the mid-point of DE
∴ CD = 1/2 CE
- Lets check the answers
* BD = one half BC is not true because BC = one half BD
* BC = one half BE is not true because BC = one third BE
* BD ≅ CE is true because
BD = BC + CD
CE = CD + DE
BC ≅ DE and CD is common
then BD ≅ CE
* BC ≅ BD is not true because BC is one half BD
∴ The true statement is BD ≅ CE
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