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Kipish [7]
3 years ago
11

For the function defined by I = 50/t, what can you say about the relationship between the variables I and t?

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

Inverse proportionality relationship

Step-by-step explanation:

SInce I equals 50 divided by t, we see "t in the denominator, which corresponds to an INVERSE proportionality between these variables (I and t)

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Prove algebraically that r = 10/2+2sinTheta is a parabola
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Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
Ryan has shells and 4 equal groups tanner has 9 more than Ryan tanner has 3 fewer shells than parker. Parker has 48 shells. How
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Answer:

9.75

Step-by-step explanation:

48-3=45

45-9=38

38÷4=9.75

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Which of the following is the line of symmetry for the figure shown below?
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Step-by-step explanation:

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