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3 years ago

Can you help me please

Mathematics

1 answer:

adoni [48]3 years ago

3 0

Answer:

The answers are:

2u = <10,2>
-3u = <-18,-6>
u+v = <11,3>
3u-4v = <-9,-5>

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

$2u = 2(5,1) = (10,2)$

$-3v = -3(6,2) = (-18,-6)$

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

$u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)$

And

$3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)$

Hence,

The answers are:

2u = <10,2>
-3u = <-18,-6>
u+v = <11,3>
3u-4v = <-9,-5>

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lubasha [3.4K]

Answer:

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Step-by-step explanation:

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Volume = 1/3 x base area x height

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3 years ago

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alexgriva [62]

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3 years ago

Find an equation of the line that goes through the points (-9,-20) and (-8,-17). Write your answer in the form y = m x + b .

Oliga [24]

Answer:

y = 3x + 7

Step-by-step explanation:

First, we will solve for the slope (m).

The formula for slope is: m = $\frac{y2 - y1}{x2 - x1}$

m = $\frac{-17 - -20}{-8 - -9}$ --- enter the points into the formula

m = $\frac{3}{1}$ --- simplify

m = 3 --- simplify

Now we will solve for the y-intercept (b).

y = mx + b

y = 3x + b --- substitute the slope into the equation

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3 years ago

A pet shop sells guinea pigs and goldfish.

Mashutka [201]

Answer:

Explanation:

From the question, we are told that a pet shop sells guinea pigs and goldfish and that the ratio of guinea pigs to goldfish is 20:28.

a) Give this ratio in its simplest form.

The ratio of guinea pigs to goldfish is 20:28. The highest common factor to 20 and 28 is 4. Therefore 20 = 4 × 5 and 28 = 4 × 7. So, the ratio in its simplest form will be 5:7.

b. The shop has a total of 120 guinea pigs and fish. Work out the number of guinea pigs the shop has.

The ratio of guinea pig and goldfish is 5:7. If the shop has a total of 120 guinea pigs and fish, the number of guinea pigs the shop has will be:

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3 years ago

Suppose you have a tablet with a capacity of 35 gigabytes. for a plain text book, one byte typically corresponds to one charact

steposvetlana [31]

The first thing we must keep in mind is the following unit conversion:
$1 gigabytes = 1 * 10 ^ 9 bytes
$
We have then that for 35 gigabytes:
$35 * (1 * 10 ^ 9) = 35 * 10 ^ 9 bytes
$

Part A:
For this case we make the following rule of three:
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Part B:
Then, the number of 500-page books is:
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n = 35000

$

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4 years ago

Can you help me please ​

Can you help me please