All categories

3 years ago

What is the constant of proportionality in the equation y = 2/3x?

Mathematics

1 answer:

kobusy [5.1K]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

The constant of proportionality is the constant that is multiplied by x

The equation is in the form

y = kx where k is the constant

y = 2/3 x

the constant is 2/3

You might be interested in

What is the square route of 144

Tom [10]

The square root of 144 is 12

7 0

3 years ago

How do you this question (pre-cal)

Novay_Z [31]

The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).

So I'll take the left hand side and try to turn it into $\csc^2( B )$

One way we can do that is through the following steps:

$\frac{\tan(B) + \cot(B)}{\tan(B)} = \csc^2(B)\\\\\frac{\tan(B)}{\tan(B)} + \frac{\cot(B)}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\frac{1}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\cot(B) = \csc^2(B)\\\\1 + \cot^2(B) = \csc^2(B)\\\\1 + \frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)}{\sin^2(B)}+\frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)+cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{1}{\sin^2(B)} = \csc^2(B)\\\\\csc^2(B)=\csc^2(B) \ \ {\Large \checkmark}\\\\$

Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.

4 0

3 years ago

3. What is the greatest common factor for the two expressions? Use ^ to mean an exponent (use Shift +6 key). For example, 3x2 wo

Firlakuza [10]

The greatest common factor of the two expressions given as in the task content is; 3v².

<h3>What is the greatest common factor of the two expressions given?</h3>

It follows from the task content that the terms whose greatest common factor are to be determined are: 15v³ and 12 v².

15v³ and 12v²

= 3v²(5v) and 3v²(4)

= 3v²(5v) and (4)

Consequently, in a bid to factorise the two expressions by means of their greatest Common factor, the greatest common factor can be determined as; 3v².

The correct answer choice which therefore represents the greatest common factor as required in the task content is; 3v².

Read more on greatest common factor;

brainly.com/question/219464

#SPJ1

4 0

1 year ago

Root 8 + 3 root 32 - root 50

lisov135 [29]

$\sqrt{8} + 3 \sqrt{32} - \sqrt{50}$

$= \sqrt{4 \times 2} + 3 \sqrt{16 \times 2} - \sqrt{25 \times 2}$

$= 2\sqrt{ 2} + 12 \sqrt{2} - 5\sqrt{ 2}$

$= 9\sqrt{ 2}$

6 0

3 years ago

Multiply the following complex numbers:<br> (9-21)(7 +61)

Andrew [12]

Answer:

-816

Step-by-step explanation:

-12*68= -816 this is probably wrong but this is what i got

3 0

3 years ago

Read 2 more answers