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3 years ago

10

xander walks 389 steps from his house to the toy store .it is 149 steps to elm street.. it is 52 steps from elm street to maple

street.

2 answers:

aalyn [17]3 years ago

6 0

Answer:

the answer is 590 steps

Step-by-step explanation:

389+ 149+ 52= 590

Nina [5.8K]3 years ago

5 0

Answer: mannn if you want me to add it up then its 590 man

Step-by-step explanation: basic addition 389+149+52

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Find two vectors in R2 with Euclidian Norm 1<br> whoseEuclidian inner product with (3,1) is zero.

alina1380 [7]

Answer:

$v_1=(\frac{1}{10},-\frac{3}{10})$

$v_2=(-\frac{1}{10},\frac{3}{10})$

Step-by-step explanation:

First we define two generic vectors in our $\mathbb{R}^2$ space:

$v_1 = (x_1,y_1)$
$v_2 = (x_2,y_2)$

By definition we know that Euclidean norm on an 2-dimensional Euclidean space $\mathbb{R}^2$ is:

$\left \| v \right \|= \sqrt{x^2+y^2}$

Also we know that the inner product in $\mathbb{R}^2$ space is defined as:

$v_1 \bullet v_2 = (x_1,y_1) \bullet(x_2,y_2)= x_1x_2+y_1y_2$

So as first condition we have that both two vectors have Euclidian Norm 1, that is:

$\left \| v_1 \right \|= \sqrt{x^2+y^2}=1$

and

$\left \| v_2 \right \|= \sqrt{x^2+y^2}=1$

As second condition we have that:

$v_1 \bullet (3,1) = (x_1,y_1) \bullet(3,1)= 3x_1+y_1=0$

$v_2 \bullet (3,1) = (x_2,y_2) \bullet(3,1)= 3x_2+y_2=0$

Which is the same:

$y_1=-3x_1\\y_2=-3x_2$

Replacing the second condition on the first condition we have:

$\sqrt{x_1^2+y_1^2}=1 \\\left | x_1^2+y_1^2 \right |=1 \\\left | x_1^2+(-3x_1)^2 \right |=1 \\\left | x_1^2+9x_1^2 \right |=1 \\\left | 10x_1^2 \right |=1 \\x_1^2= \frac{1}{10}$

Since $x_1^2= \frac{1}{10}$ we have two posible solutions, $x_1=\frac{1}{10}$ or $x_1=-\frac{1}{10}$ . If we choose $x_1=\frac{1}{10}$ , we can choose next the other solution for $x_2$ .

Remembering,

$y_1=-3x_1\\y_2=-3x_2$

The two vectors we are looking for are:

$v_1=(\frac{1}{10},-\frac{3}{10})\\v_2=(-\frac{1}{10},\frac{3}{10})$

5 0

3 years ago

To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a boo

dimaraw [331]

Answer:

The bookshelf will fit between the windows with 1 inch remaining.

Step-by-step explanation:

Total width available for bookshelf

Six and half feet = 6.5 feet = 78 inches

Total width of the bookshelf = 77 inches

Hence, the bookshelf Mrs. Aguilar has purchased will fit between the windows with 1 inch remaining.

8 0

4 years ago

What does this mean? ( ˘ ³˘)♥(o‿∩)(个_个)(●__●)

Pie

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 3 stocks?

Gala2k [10]

Answer:

There are 27 different possible outcomes.

Step-by-step explanation:

Assuming that you have 3 different stocks:

First, we need to find the number of events and the number of possible outcomes for each event.

Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:

Stock 1: 3 options (up, down, stay)

Stock 2: 3 options (up, down, stay)

Stock 3: 3 options (up, down, stay)

The total number of possible outcomes is equal to the product of the numbers of options for all the events.

Then the total number of possibilities is:

C = 3*3*3 = 27

4 0

3 years ago

What is 12890 X 567 pls tell me i need these for a test

qwelly [4]

Answer:

7,308,630

Step-by-step explanation:

Calculated it.

6 0

2 years ago