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Bas_tet [7]
2 years ago
10

If the value of y value directly with x, which function represents the relationship between x and y when x=3 and y=21?

Mathematics
1 answer:
Jet001 [13]2 years ago
8 0

Answer:

y

=

2

9

x

Explanation:

If  

y

varies directly with  

x

then

XXX

y

=

k

⋅

x

for some constant  

k

Given  

x

=

30

→

y

=

20

3

implies

XXX

20

3

=

k

⋅

30

XXX

→

k

=

20

3

30

=

20

90

=

2

9

Step-by-step explanation:

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Combining like terms on the left-hand side gives us 5x-10=20. Adding 10 to both sides gives 5x=30, and dividing both sides by 5 gives our answer of \boxed{x=6}.

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2 years ago
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Someone please explain how this make sense
Andru [333]

Answer:

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Step-by-step explanation:

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2 years ago
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
snow_lady [41]

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

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What is the remainder when 14,952 ÷ 41?
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Answer:

28

Step-by-step explanation:

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