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3 years ago

6

Does the order in which you add two integers with the same sign affect the sum

1 answer:

kondor19780726 [428]3 years ago

6 0

If you add positive 5 and positive 5, you'll get positive 10.
If you add positive 5 and negative 5, you'll get positive 0.
If you add negative 5 and negative 5, you'll get negative 10.

-5 + 5 = -5 + 5
5 + 5 = 5 + 5
- 5 + -5 = -5 + -5

Does that help your question?

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Explain how you can use equivalent fractions to find the quotient of 2 3 ÷ 4. Sample Response: Find a fraction that is equivalen

xz_007 [3.2K]

Answeno

Step-by-step explanation:

sorry

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2 years ago

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

A bag of numbered lottery balls contains the numbers 1 through 40. What is the probability that a randomly selected ball will be

MA_775_DIABLO [31]

Answer:

3/40

Step-by-step explanation:

So we look for all the multiples of 13 not over 40

There are 3 which are; 13, 26, 39

So it will be 3/40

8 0

3 years ago

I really need help I have 20 minutes

nlexa [21]

Answer:

a. -1.7

b. -1.2

c. -0.5

d. 0.6

e. 1.1

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

ladessa [460]

Answer:

y = 9/b

Step-by-step explanation:

by = 9 solved for b yields y = 9/b.

7 0

3 years ago