What are the similarities and differences between linear equations and arithmetic sequences?

1 answer:

4 0

Similarities:
Have a consistent change for every interval can be represented as functions of a variable points lie on a line.

Differences: linear equations represent all solutions to all x values, whereas arithmetic sequences pick integer spacing

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If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ?

alexira [117]

Answer:

2√2 / 3 (first answer choice)

Step-by-step explanation:

If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.

If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.

Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:

adj² + 1² = 3², or

adj² + 1 = 9, or adj² = 8. Since Ф is in Quadrant II, adj is negative.

The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3

3 0

2 years ago

3/14 and 19/63 whats the LCM

levacccp [35]

Factor them and find the common grouping

3/14
3 is prime so no factoring of this fraction

19/63, 63 is prime so no factoring

if ya wanted the least common denomenator then
14 and 63
14=2*7
63=7*9
so the least common denomenator would be 2*7*9=126
3/14 and 19/63 turns into 27/126 and 38/126

4 0

2 years ago

Which equation is equivalent to 2x+5y=-2?

Setler79 [48]

Let’s isolate y using inverse operations to convert this into slope intercept form. Choose the equivalent one after that!

6 0

2 years ago

Read 2 more answers

The sides of a square are 12 feet long. Find the new side length after it is increased by 40%.

djyliett [7]

Answer:

16.80 ft long