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2 years ago

The graph of a proportional relationship is a straight line passing through the?

Mathematics

2 answers:

Aneli [31]2 years ago

7 0

Through the origin (0,0)

puteri [66]2 years ago

4 0

Answer:

Origin

Step-by-step explanation:

Here you go~

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

2 years ago

Read 2 more answers

Tell whether (5. 10) is a solution of y = 6x – 18

almond37 [142]

Answer:

Step-by-step explanation:

Simply enter 5, 10 in the x and y boxes to get the answer.

10=6(5)-18

10=30-18

10=12

As a consequence, it isn't a feasible option.

8 0

2 years ago

What is 8,792 as a fraction?

Wittaler [7]

We have a number $8.792$ .

To write it as a fraction first count the number of decimals and call it $n$ (which, in our case, has a value of 3). Multiply the number with $10^n$ to get $8792$ . Then divide this number by $10^n$ to get $\frac{8792}{10^n}$ from here you can either simplify (if the assignment says so, then the simplified fraction is $\frac{1099}{125}$ ) or not.

Hope this helps.

6 0

3 years ago

Help pls 2,4 +0,8=........+1,21=........+1,78=........-5,14=

Mrrafil [7]

Lets write this out:-

2.4 + 0.8 = ________ + 1.21 = ______ + 1.78 = ______ - 5.14 = _____

So to solve d blanks we will do d following:-

2.4 + 0.8 = 3.2

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = ______ + 1.78 = ______ - 5.14 = ____

Now lets solve again:-

3.2 + 1.21 = 4.41

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = ______ - 5.14 = ____

Now lets solve again:-

4.41 + 1.78 = 6.19

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = 6.19 - 5.14 = ____

Now lets solve again:-

6.19 - 5.14 = 1.05

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = 6.19 - 5.14 = 1.05

So, 2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = 6.19 - 5.14 = 1.05

Hope I helped ya!! xD

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title="\frac{3}

Scrat [10]

The answer would be 14/15

Find a common denominator that both of the fractions can use. An easy way to do this is simply multiply the denominators together. So for 3/5 you would multiply by 3 to get the fraction 9/15 and then multiply 1/3 by 5 to get 5/15. Add both 9/15 and 5/15 to then get 14/15.

4 0

2 years ago

Read 2 more answers

The graph of a proportional relationship is a straight line passing through the?​

The graph of a proportional relationship is a straight line passing through the?