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sladkih [1.3K]
3 years ago
5

The constant of proportionality is always the point___________, where k is the constant of proportionality

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
Let's take as example a linear function of the form:
 y = kx.
 Where,
 k is the constant of proportionality.
 Therefore, the proportionality constant is the point:
 (x, kx)
 Generically it is always the point:
 (x, k * f (x))
 Where, f (x) is a function proportional to x.
 answer:
 The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality. 
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Express 112 as a product of prime numbers in index form?
alexgriva [62]
                                   112
                                    /  \
                                  2   56
                                       /  \
                                     2   28
                                          /  \
                                         2  14
                                              /  \
                                             2  7

So, the answer is 2 x 2 x 2 x 7 or 2^3 x 7
6 0
3 years ago
A+ab+abc=bcb <br>what are the numbers!?​
Fofino [41]

a=1 b= c=Step-by-step explanation:

7 0
3 years ago
A= (4,5) B= (7,-9) what is AB ?
VMariaS [17]
If you are needing to find the distance between the two points, you must use a simple formula, cleverly named, the distance formula. Since I can't input special characters into the answer box, I'll explain it the best I can.

( The square root of (  (x - x)^2 + (y - y)^2 )  )

First, we need to find the first x subtracted from the second x, as so:
(4,5) and (7,-9)

4 - 7 = -3

Now, we square the -3.

-3^2 = 
-3 * -3 = 9

Next, we have to find the first y subtracted from the second y.
(4,5) and (7,-9)

5 - (-9) = 14

Now, we square the 14.

14^2 =
14 * 14 = 196

Let's see how the numbers fit in the formula:

sqrt((x - x)^2 + (y - y)^2)

sqrt((4 - 7)^2 + (7 - (-9))^2)

sqrt((-3)^2 + (14)^2)

sqrt( 9 + 196 )

This is where we currently are in the formula, all we have to do now is square root the total of 9 + 196.

sqrt( 9 + 196 )
sqrt( 205 )

The square root of 205 = 14.31782106...

There are a few answers you can consider:

1) sqrt(205)
2) 14.32 units
or
3) 14.31782106

Depending on the answer you desire, use the one that sounds the most correct to you. Although all three are correct, it may not be the answer you require. 

Hope I could help! If my math is incorrect, or I provided answers you were not looking for, please let know! However, if my answer is correct and well explained, please consider marking my answer as <em>Brainliest</em>! :)

Have a good one.
God bless!
4 0
3 years ago
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Klio2033 [76]
Check the picture below

if that red segment, GJ, is parallel to the AE base segment of the triangle, then, the segment GJ is the midsegment of the triangle, and by the side-splitter theorem, those two triangles are similar.

7 0
3 years ago
Find the exact value of each trigonometric function for the given angle θ.
irina [24]

Answer:

[rad] 2.41

Step-by-step explanation:

Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):

cot^-1(-√5/2)

And we should get 2.41 as our answer!

3 0
3 years ago
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