Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
Answer:
y=3x+4
Step-by-step explanation:
since the line is parallel it has the same slope so we have y = 3x + b. plug in the point (2,10) to get 10 = 3*2 + b, so b=4. so the equation is y = 3x +4
Answer:
20cm Squared
Step-by-step explanation:
Area of a Triangle = Base X Hight divided by 2
= 5 X 8 Divided by 2
= 40 Divided by 2
= 20cm Squared
Answer:
8
Step-by-step explanation:
14 - ∛216
<em>Step 1: The cube root of 216 is 6</em>
14 - 6
<em>Step 2: Subtract 6 from 14 to get 8.</em>
8
14 - ∛216 simplifies to 8.
