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Scrat [10]
3 years ago
9

How do you find a vector of length 10 in the direction of v= <3,-2>?

Mathematics
2 answers:
jonny [76]3 years ago
6 0
Let x<span> be the vector we seek. We recall the relationship of a vector to its length and direction:
</span><span>dir x=<span>x/<span>|x|</span></span></span>Because we art trying to find x from information on its length and direction, we rewrite this formula as,<span>x=|x| dir x.</span>We are given that <span>|x|=13</span> We need to compute <span>dir x</span> from the information that x is in the same direction as <span>⟨1,−1⟩</span>:<span>dir x=dir ⟨3,−2⟩=<span><span>⟨3,−2⟩</span><span>|⟨3,−2⟩|</span></span>.</span>We need to compute the length <span>|⟨3,−2⟩|</span>. To do this, recall thatThe length of the vector <span>y=⟨<span>y1</span>,<span>y2</span>⟩</span> is <span>|y|=<span><span><span>y21</span>+<span>y22</span></span><span>−−−−−−</span>√</span></span>.Hence, <span>|⟨3,−2⟩|=√13</span>,<span>.</span>Thus 
<span>x=</span><span>√</span>13
Katena32 [7]3 years ago
5 0
Hello,

We are going to used the theorem of Thalès.

||v||=√(3²+(-2)²)=√13

k*√13=10==>k=10/√13

w=k.v=10/√13<3,-2>

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Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr
Alchen [17]
The sample space of the problem is 300 while the U' is equal to 100 as given. The given diagram also shows A and B separately so we can determine the part where the two coincides. The equation goes 
120 + 50 + x + 100 = 300x = 30
Hence the probability is 30/ 300 or 10%
5 0
3 years ago
Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
andreyandreev [35.5K]

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

----------------------------------

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive,<em> the translation is to the left.</em>

If N is negative, <em>the translation is to the right.</em>

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) +  N

Where if N is positive,<em> the translation is upwards.</em>

If N is negative, <em>the translation is downwards.</em>

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

<em>The shift up of 4 units is written as:</em>

<em>g(x) = f(x) + 4</em>

<em>The shift of 2 units to the left is written as:</em>

<em>g(x) = f(x + 2) </em>

<em>These two together give:</em>

<em>g(x) =  f(x + 2) + 4.</em>

This is the equation we wanted to get.

If you want to learn more, you can read:

brainly.com/question/24401156

3 0
2 years ago
What is the volume of a cube that measures 5 cm on each side?
lana [24]
 V = a ^ 3

V= 5 ^ 3 = 125 cm cube
5 0
3 years ago
Sherry was in charge of distributing 25 food items that were donated to the local food pantry. on moday she distributed 8 items
creativ13 [48]

Answer:

Step-by-step explanation:

First you add up all the numbers - 8+7+5=20

Then you know 5 is 1/5 of 25

You know 5+5+5+5=20

ANSWER - 4/5

3 0
3 years ago
(2b + 3r) + (4b+ r)
Pavlova-9 [17]
Let's simplify step-by-step. 
<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r</span>

Combine Like Terms: 
<span>=<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r
</span></span><span>=<span><span>(<span><span>2b</span>+<span>4b</span></span>)</span>+<span>(<span><span>3r</span>+r</span>)
</span></span></span><span>=<span><span>6b</span>+<span>4r</span></span></span>

Answer:<span>=<span><span>6b</span>+<span>4<span>r</span></span></span></span>
4 0
3 years ago
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