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2 years ago

I am a number. I am the

Mathematics

1 answer:

LenaWriter [7]2 years ago

4 0

Answer:

Step-by-step explanation:

to find side length of squares take square root of areas

first square side length: 9

second square side length: 6

difference between 9 and 6 is subtraction, 9-6=3

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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

FIND PR.PLS HELP BRAINLIEST...

slega [8]

Answer:

6.2 units.

Step-by-step explanation:

We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

$\frac{8}{sin(90)}=\frac{x}{sin(180-39-90)}=\frac{x}{sin(51)}$

Cross multiplying and solving will get you this:

$x=\frac{8(sin(51))}{sin(90}$

Which can simplify to:

$x=8(sin(51))$

Which putting into a calculator gets you:

$x=6.2$

So the line PR is 6.2 units long.

6 0

2 years ago

Point (m, n) is transformed by the rule (m−3, n) .

kirill115 [55]

The answer is a translation of 3 units to the left. Can you please (or someone else) please help me with this question that i'm about to ask
Is this sentence correct: " I expected her to apologize, but I'd miscalculated" ? Does that makes sence? if not right please correct that sentence I'LL APRECIATE IT, THANK YOU SO MUCH!

4 0

2 years ago

10. A young child is 44 months old. Find the age of the baby in years as a mixed

viktelen [127]

Step-by-step explanation:

44 month old

12 months=1 year

44÷12=3 2/3

3 2/3 years

5 0

2 years ago

Read 2 more answers

Help with this immediately

charle [14.2K]

x= 2

Step-by-step explanation:

The answer for what does x= is,

x = 2

6 0

2 years ago