Ask question

Ask question

All categories

valentinak56 [21]

3 years ago

7

What is the name of the shape graphed by the function r= 3+ 3 cos theta?

2 answers:

34kurt3 years ago

8 0

Answer: Cardioid

Step-by-step explanation:

disa [49]3 years ago

6 0

Answer:

cardioid

Step-by-step explanation:

You might be interested in

Solve by substitution <br> X^2= 2y + 10<br> 3x-y = 9

Viefleur [7K]

Answer:

$x=-4\\ x=-2\\ y=-21\\ y=-15$

Step-by-step explanation:

$x^{2} =2y+10$

$y=-9+3x$

$x^{2} =2(-9+3x)+10$

$x^{2} =-18+6x+10$

$x^{2} =6x-8$

$x^{2} -6x+8$

$x=-4, -2$

$y=-9+3(-4)$

$y=-9-12$

$y=-21$

$y=-9+3(-2)$

$y=-9-6$

$y=-15$

8 0

4 years ago

Read 2 more answers

The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represen

djyliett [7]

Answer:

At 0 hours, there are 100 grams of the substance remaining.

Step-by-step explanation:

4 0

2 years ago

Is 1/3 and 2/6 equivalent

Helga [31]

Yes because 2/6 divided in half is 1/3

8 0

3 years ago

Read 2 more answers

If 2^n + 1 is an odd prime for some integer n, prove that n is a power of 2. (H

vovikov84 [41]

Step-by-step explanation:

We will prove by contradiction. Assume that $2^n + 1$ is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that $p\mid n$ . Then, for some integer $k\geq 1$ ,

$n=p\times k.$

Therefore

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p.$

Here we will use the formula for the sum of odd powers, which states that, for $a,b\in \mathbb{R}$ and an odd positive number $n$ ,

$a^n+b^n=(a+b)(a^{n-1}-a^{n-2}b+a^{n-3}b^2-...+b^{n-1})$

Applying this formula in 1) we obtain that

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p=(2^k+1)(2^{k(p-1)}-2^{k(p-2)}+...-2^{k}+1)$ .

Then, as $2^k+1>1$ we have that $2^n+1$ is not a prime number, which is a contradiction.

In conclusion, if $2^n+1$ is an odd prime, then n must be a power of 2.

4 0

3 years ago

A line that includes the point (0, 9) has a slope of 9. What is its equation in slope-intercept

Rufina [12.5K]

Slope intercept: y = mx + b
Y = 9x + b, plug in point
9 = 9(0) + b, b = 9
Solution: y = 9x + 9

7 0

3 years ago