We will use distribution
we will multiply 6 to each variable and number in the parenthesis.
6 times x plus 6 times 4
which is 6x +24
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
Answer:
c
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
10YZ = 230 ( divide both sides by 10 )
YZ = 23 → c
Find two pefect lines that touches the middle then do rise over run and that will be your slope
C. f(x)=2/3x-2
<h2>
Explanation:</h2>
Looking at the graph we realize that the y-intercept is given by:
The Slope-intercept form of the equation of a line is given by:
So, our equation becomes:
So the only option that matches a negative y-intercept is C. Let's see that the slope 
. Look at the y-intercept, if you increase x by 3 units, then y increases by 2 units and goes from 
to 
. In other words:
<h2>Learn more:</h2>
Writing linear equations: brainly.com/question/12169569
#LearnWithBrainly
