Please help In the parallelogram below, x = [? ] 3х+7 5x-17

Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If

dybincka [34]

• ||v|| = 42, which is to say

||v||² = 〈v, v 〉

… = 〈a u₁ + b u₂ + c u₃, a u₁ + b u₂ + c u₃〉

… = a ² 〈u₁, u₁〉 + b ² 〈u₂, u₂〉 + c ² 〈u₃, u₃〉 + 2(ab 〈u₁, u₂〉 + ac 〈u₁, u₃〉 + bc 〈u₂, u₃〉)

… = a ² ||u₁||² + b ² ||u₂||² + c ² ||u₃||²

[since each vector in the basis for V is orthogonal to any other vector in the basis, and 〈x, x〉 = ||x||² for any vector x ]

42² = a ² + b ² + c ²

[since each vector in the basis has unit length]

42 = √(a ² + b ² + c ²)

• v is orthogonal to u₃, so 〈v, u₃〉 = 0. Expanding v gives the relation

〈v, u₃〉 = 〈a u₁ + b u₂ + c u₃, u₃〉

… = a 〈u₁, u₃〉 + b 〈u₂, u₃〉 + c 〈u₃, u₃〉

… = c ||u₃||²

… = c

which gives c = 0, and so

42 = √(a ² + b ²)

• Lastly, 〈v, u₂〉 = -42, which means

〈v, u₂〉 = 〈a u₁ + b u₂ + c u₃, u₂〉

… = a 〈u₁, u₂〉 + b 〈u₂, u₂〉 + c 〈u₃, u₂〉

… = b ||u₂||²

… = b

so that b = -42. Then

42 = √(a ² + (-42)²) → a = 0

So we have a = 0, b = -42, and c = 0.

7 0

3 years ago

Sasha is becoming a stronger runner. Last year she ran five miles in 50 minutes. This year hertimi

Fofino [41]

Answer:

40 minutes

Step-by-step explanation:

50 x (1 - 0.2) = 40

7 0

3 years ago

Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky

irga5000 [103]

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

$y = ax + b$

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when $x = 0, y = 0$

So

$y = ax + b$

$0 = a*0 + b$

$b = 0$

(0.5, 20)

When $x = 0.5, y = 20$

So

$y = ax$

$20 = 0.5a$

$a = \frac{20}{0.5}$

$a = 40$

The function in:

$y(x) = 40x$

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

$y(2) = 40*2 = 80$

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

$y(3) = 40*3 = 120$

This statement is true.

It will take her 4 hours to read 180 pages.

$y(4) = 40*4 = 160$

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

$y(5) = 40*5 = 200$

More than 5 hours to read 210 pages. So false.

8 0

3 years ago

If today is Saturday, what day will it be 70 days from now?

Lerok [7]

Answer:

If today is Saturday, then after 70 days, we will be on a Saturday again.

Step-by-step explanation:

Basically, 70 days = 10 weeks

Which means: 1 week = 7 days

We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.

Hoped this helped.

8 0

3 years ago

I REALLY NEED HELP WILL GIVE EVERYTHING GOOD IF YOU HELP ON 2 MORE

DerKrebs [107]

Answer:

edit: i was wrong ignore me

4 0

3 years ago