
and

are vectors and:
![\vec{u}=14j=0i+14j=[0,14]\\\\ \vec{v}=i+4j=1i+4j=[1,4]](https://tex.z-dn.net/?f=%5Cvec%7Bu%7D%3D14j%3D0i%2B14j%3D%5B0%2C14%5D%5C%5C%5C%5C%0A%5Cvec%7Bv%7D%3Di%2B4j%3D1i%2B4j%3D%5B1%2C4%5D)

is the dot product or scalar product, so:
![\vec{u}\cdot\vec{v}=[0,14]\cdot[1,4]=0\cdot1+14\cdot4=56](https://tex.z-dn.net/?f=%5Cvec%7Bu%7D%5Ccdot%5Cvec%7Bv%7D%3D%5B0%2C14%5D%5Ccdot%5B1%2C4%5D%3D0%5Ccdot1%2B14%5Ccdot4%3D56)
Correct answer is A.
That is a easy one the answer is 8
Answer:
Step-by-step explanation:
The roots are very clear on the graph. I have left them unlabeled so that you can put the two points in.
The points are (-4,0) and (-2,0)
The graph was done on desmos which you can look up. The box in the upper left corner was filled with
y = x^2 + 6x + 8
Let x be the number of bracelets you can make
Amount of yarn needed = 100x
Answer:
Length A: 5 ft
Width B: 4 ft
volume = 88 ft³
Step-by-step explanation:
Length A: 8 - 3 = 5 ft
Width B: 8 - 4 = 4 ft
<u>Volume</u>
The easiest way to calculate the volume is to split the trough into two rectangular prisms. (imagine drawing a horizontal line from the internal corner of A and 4ft to the left 8ft side).
Volume of a rectangular prism = width x length x height
Volume of rectangular prism 1: B x 8 x 2 = 4 x 8 x 2 = 64 ft³
Volume of rectangular prism 2: 3 x 4 x 2 = 24 ft³
Total volume = 64 + 24 = 88 ft³