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3 years ago

Which number is not a rational number?

1 answer:

4 0

Rational is a number that can be expressed as a ratio of two in tegers where denominator is not equal to 0 is called a rational number.

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Please help me with #8

Julli [10]

I believe it would be 1 aka F

7 0

3 years ago

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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

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

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

Above is a graph of a proportional relationship. Explain the significance of the following points on this line:

KonstantinChe [14]

Answer:

1. at 1 hour, 3 miles is the distance.

2. at 0 hours, 0 miles is the distance.

3. at 3 hours, 9 miles is the distance.

5 0

3 years ago

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb

olga2289 [7]

Answer:

3x = 50 - 10y

Step-by-step explanation:

Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,

So, total weight of 3 lb weights = 3x

And, the weight of 10 lb weights = 10y

Total weight of all his weights = 3x + 10y

According to the question,

Total weight = 50 lb,

⇒ 3x + 10y = 50

Or 3x = 50 - 10y

Which is the required equation.

Second option is correct.

3 0

4 years ago

Which ordered pair could represent the coordinates of point k

Setler [38]

Need the picture please

5 0

4 years ago

Read 2 more answers