Can anybody figure this out ASAP?

Find the sum of the given vectors and illustrate geometrically. [-2,-1],[5,7]

Vladimir [108]

Answer:

The sum of vectors is <3,6>.

Step-by-step explanation:

The given vectors are <-2,-1> and <5,7>.

We need to find the sum of the given vectors and illustrate geometrically.

Plot the point (-2,-1) on a coordinate plane and draw a vector <a> from (0,0) to (-2,-1).

Plot the point (5,7) on a coordinate plane and draw a vector <b> from (0,0) to (5,7).

Now complete the parallelogram and the diagonal represents the sum of both vectors.

The end point of the diagonal is (3,6). It means sum of vectors is <3,6>.

Check the sum of vectors:

$+==$

Therefore, the sum of vectors is <3,6>.

4 0

3 years ago

A fisherman rows his boat toward a town 17 miles upstream. Each day he rows the boat 6 miles upstream, and each night the boat d

Phoenix [80]

The fisherman reaches the town on 4th day.

<u>SOLUTION: </u>

Given, A fisherman rows his boat toward a town 17 miles upstream.

Each day he rows the boat 6 miles upstream, and each night the boat drifts back 2 miles.

We have to find If this pattern continues on which day will he reach the town?

Now, after 1st day distance between him and town = 17 – 6 = 11 miles

And after that night, distance = 11 + 2 = 13 miles

Now, again after 2nd day, distance = 13 – 6 = 7 miles

And after that night, distance = 7 + 2 = 9 miles

Now, again after 3rd day, distance = 9 – 6 = 3 miles

And after the night, distance = 3 + 2 = 5 miles

Now, again after 4th day, distance = 5 – 6 miles = - 1 miles

Here, - 1 miles means that he already reached the town.

Hence, the fisherman reaches the town on 4th day

5 0

3 years ago

A dog and a cat start running from the same corner around the rectangular garden. Dog runs west and the cat runs north. Cat's sp

Shtirlitz [24]

Answer:

the answer is the length is 5 / 6 yards

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the 32nd term of 311, 305, 299

nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

$a_n = a_1 + (n - 1)d$

To find $d$ (the common difference) we can simply subtract one of the terms by the last, for example:

$d = 299 - 305 \\d = -6 \\$

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

$d = 305 - 311\\d = -6$

We also have to know that $a_1$ stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

$a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503$

Good luck!

4 0

3 years ago

Read 2 more answers

Why does the product of two positive rational numbers greater than either factor

tester [92]

Answer:

because ur adding

Step-by-step explanation:

7+7=14

it's like adding as u always have

8 0

4 years ago