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elena-14-01-66 [18.8K]
3 years ago
10

If y varies directy as x, and y is 20 when x is 4, what is the constant variation for this relation​

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

k=5

Step-by-step explanation:

y \propto x

y=kx

y=k \times x

20= k \times 4

20/4=k

5=k

The constant variation in a direct variation is the constant ratio k.

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Answer:

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Step-by-step explanation:

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What are the coordinates of the point that is one half the distance between A(-1, -2) and B(6, 12)?
MA_775_DIABLO [31]

The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)

What is the midpoint?

The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.

Given, A(6,12) = (x_{1}, y_{1} )

           B(6,12) = (x_{2}, y_{2} )

Let M is a midpoint of AB, then

M(x,y)=(\frac{x_{1}+x_{2}  }{2} ,\frac{y_{1} +y_{2}}{2} )= (\frac{-1+6}{2} ,\frac{-2+12}{2} )=(2.5,5)

The midpoint of point AB is M(2.5,5)

Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).

To learn more about the midpoint

brainly.com/question/24676143

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5 0
1 year ago
Plz help i have 9 min and i dont understand plz help worth 20 points
saw5 [17]

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Step-by-step explanation:

3 0
3 years ago
HHHHHHHHHHEEEEEEEEELLLLLLLLLLLPPPPPPPPPP
Nastasia [14]

Answer:

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3 years ago
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17
Lesechka [4]
A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
7 0
3 years ago
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