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3 years ago

Identify the features of the graph

Mathematics

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

show the graph .

Step-by-step explanation:

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3. Find the lengths of d d 15 7 6 10

siniylev [52]

Answer:

Step-by-step explanation:

As you can see on the side it says 15 and that is the length of the structure and it would be the same all around

4 0

2 years ago

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

SashulF [63]

ANSWER

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

EXPLANATION

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

1) -24, -4, 16, 36, ... Find a23

viktelen [127]

We're given the Arithmetic Progression -24, -4, 16, 36 ... .

We know that a term in an AP is generally represented as:

$\bf a_n\ =\ a\ +\ (n\ -\ 1)d$

where,

a = the first term in the sequence
n = the number of the term/number of terms
d = difference between two terms

We need to find $\sf a_2_3$ .

From the given progression, we have:

a = -24
n = 23
d = (-24 - (-4) = -20

Using these in the formula,

$\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464$

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0

2 years ago

Based on the information given in the diagram, can you prove ABCD a parallelogram?

mylen [45]

Yes, one pair of sides is both parallel and congruent

I think that's it

4 0

3 years ago

Read 2 more answers

Tracy bought a new sweatshirt. The shirt cost $25 but was on sale for 10% off how much does she have to pay for the sweatshirt

Fudgin [204]

Okay so because it's 10% off you're going to take the original price ($25) and move the decimal over once. So, $2.50. Now back to the original price!
$25.00 - $2.50 = $23.50 for the sweatshirt. I don't think I explained that very well, but that'd be how you found your answer?

8 0

3 years ago