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3 years ago

The equation y = 5x represents a proportional relationship. What is the constant proportionality

Mathematics

2 answers:

Elanso [62]3 years ago

5 0

Answer:

Step-by-step explanation:

It is the constant slope 5 over 1

EleoNora [17]3 years ago

4 0

Answer:

Step-by-step explanation: 5

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Write the vector v in the form aiplusbj, given its magnitude left norm Bold v right norm and the angle alpha it makes with the

photoshop1234 [79]

Answer:

$6\sqrt{3}i-6j$

Step-by-step explanation:

Given:

The magnitude, v=12

The angle $\alpha$ it makes with the positive x-axis = $150^0$

Now for a vector (x,y)

$\alpha =tan^{-1}(\frac{y}{x} )$ ; and

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

Therefore:

$150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}$

$y=-\frac{x \sqrt{3}}{3}$

Similarly:

$v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2$

$144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}$

Recall that:

$y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3} \sqrt{3}}{3}=-6$

Therefore: $(x,y)=(6\sqrt{3}, -6)$

The vector in the form ai+bj is therefore:

$6\sqrt{3}i-6j$

6 0

3 years ago

Please help 10 points and you get brainiest if you get it right.<br> look at the pic below

IRISSAK [1]

I think its 2/3 + 1/4 = 11/12

6 0

2 years ago

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I need this today please help

lord [1]

The office must buy 6 5- gallons jugs each month for Best Water to cost less.

8 0

3 years ago

How many times does 6 go into 48

den301095 [7]

$48/6=8$

$8*6=48$

$6*8=48$

$48/6=8$

Final answer: ⇒ $\boxed{=8}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

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3 years ago

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A typical middle-income household in 1980 earned $34,757. A similar household in 2009 earned $38,550. What was the relative incr

S_A_V [24]

Given conditions are :

In 1980's, a typical middle-income household earned= $34,757

In 2009, a similar middle-income household earned= $38,550

And we have to find relative increase in income for these households from 1980 to 2009.

So first we will find the total increase in amounts.

$38550-34757=3793$

Relative increase = $\frac{3793}{34757}*100$

= 10.91% or rounding it off we get approx 11%.

Hence, the answer is 11%.

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3 years ago

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The equation y = 5x represents a proportional relationship. What is the constant proportionality ​

The equation y = 5x represents a proportional relationship. What is the constant proportionality