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3 years ago

The property that says you can add or multiply numbers in any order , without changing the answer , is called the Property.

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

Distributive property I think

hope it helps you!! ;)

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Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec

julia-pushkina [17]

Answer:

$(2,6,6) \not \in \text{Span}(u,v)$

$(-9,-2,5)\in \text{Span}(u,v)$

Step-by-step explanation:

Let $b=(b_1,b_2,b_3) \in \mathbb{R}^3$ . We have that $b\in \text{Span}\{u,v\}$ if and only if we can find scalars $\alpha,\beta \in \mathbb{R}$ such that $\alpha u + \beta v = b$ . This can be translated to the following equations:

1. $-\alpha + 3 \beta = b_1$

2. $2\alpha+4 \beta = b_2$

3. $3 \alpha +2 \beta = b_3$

Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for $\alpha,\beta$ and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = 2$

$2\alpha+4 \beta = 6$

whose unique solutions are $\alpha =1 = \beta$ , but note that for this values, the third equation doesn't hold (3+2 = 5 $\neq$ 6). So this vector is not in the generated space of u and v.

Case (-9,-2,5)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = -9$

$2\alpha+4 \beta = -2$

whose unique solutions are $\alpha=3, \beta=-2$ . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.

4 0

2 years ago

Mr. Andrews is saving to buy a violin that costs $1,000. He has already saved $450 and decides to put all of this money into a n

Korolek [52]

Answer:

1000=450 (1+ 0.06) y

Step-by-step explanation:

In the paranthesis where it says 0.06 and then 4 at the bottom its supposed to be a fraction btw

7 0

3 years ago

Find the surface area of the rectangular prisms given the dimensions 4x3x2

earnstyle [38]

Answer:

so your answer is 52!!!

Step-by-step explanation:

Surface area is 2*l*h+2*l*w+2*w*h

Hope this helps

Pls mark brainleist

Thanks!!

3 0

2 years ago

1. Ms. G says that a solution to the equation 2x - 6 = 7x must also be a solution to the equation 5x-6=10x

timama [110]

Answer:

Well......

Step-by-step explanation:

Well if you subtract 2x from 7x, you get 5x. If you subtract 5x from 10x, you get 5x. When you Do that to both formulas, you end up with the same formula: 5x=-6.

3 0

3 years ago

Sin < t<br> Urgent please help

Andru [333]

Answer:

sint = $\frac{33}{65}$

Step-by-step explanation:

sint = $\frac{opposite}{hypotenuse}$ = $\frac{33}{65}$

3 0

3 years ago