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Mila [183]
2 years ago
6

You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situa

tion. T is the total number of tokens and D is the number of dollars.
Mathematics
1 answer:
aksik [14]2 years ago
7 0

Answer: 5D = T

Step-by-step explanation:

A dollar spent will give 5 tokens.

The amount of dollars spent therefore will increase the number of tokens you by fivefold.

Formula is therefore:

5D = T

Testing it.

Assume you spent 5 dollars, how many tokens would you have:

5D = T

5 * 5 = 25 tokens

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Find the point on the graph of y=x^2 where the tangent line has slope m= - 1/3
babunello [35]

Here the graph y=x²

Taking the 1st derivative here of the y it will be

y1 = 2x

m=-1/3

That is m=2x

so x=-1/6

so y=(-1/6)²=1/36

So the coordinate of point will be=(-1/6 , 1/36)

8 0
3 years ago
2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasonin
dolphi86 [110]

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

4 0
2 years ago
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