3 years ago

I bought 10 1/4 yards of ribbon. I used 7 3/4 yards of ribbon on a project

Mathematics

2 answers:

viva [34]3 years ago

3 0

I think you would have 3 1/2 yards left (3 2/4 simplified)

Wittaler [7]3 years ago

3 0

what kind of problem is this if subtraction then you would have 3 1/2 or 3 2/4 left.

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Instructions: Perform the given operation for the two stated functions. Type your answer in the space given. Remember to use the

andriy [413]

Answer:

-1 because when you add both functions thats what you get.

3 0

3 years ago

Let r3 have the euclidean inner product. let u = (-1, 1, 1) and v = (-7, 6, 15). if ||ku + v||= 7, what is k? give the exact ans

amm1812

Ma $k\mathbf u+\mathbf v=k(-1,1,1)+(-7,6,15)=(-k-7,k+6,k+15)$

Recall that for a vector $\mathbf x\in\mathbb R^n$ , we have $\|\mathbf x\|=\sqrt{\mathbf x\cdot\mathbf x}$ . So we have

$\|k\mathbf u+\mathbf v\|=\sqrt{(k\mathbf u+\mathbf v)(k\mathbf u+\mathbf v)}=7$
$\implies k^2\mathbf u\cdot\mathbf u+2k\mathbf u\cdot\mathbf v+\mathbf v\cdot\mathbf v=49$
$\implies3k^2+56k+261=0$
$\implies k=-9,-\dfrac{29}3$