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2 years ago

The nth term of a sequence is (n + 1) (n + 2).

Mathematics

1 answer:

lions [1.4K]2 years ago

8 0

Answer:

every term has an even factor

Step-by-step explanation:

One of the two factors of the n-th term will be even.

for n odd, n+1 is even
for n even, n+2 is even

If the number has an even factor, it is an even number. Every term of the sequence has an even factor, so every term will be even.

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Which equation represents the hyperbola in general form?

valina [46]

ANSWER

$9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0$

EXPLANATION

The standard equation of the hyperbola is

$\frac{ {(y - 2)}^{2} }{4} - \frac{ {(x - 2)}^{2} }{9} = 1$

We multiply through by 36 to obtain:

$9 {(y - 2)}^{2} - 4( {x - 2)}^{2} = 36$

We now expand to get,

$9( {y}^{2} - 4y + 4) - 4( {x}^{2} - 4x + 4) = 36$

Expand :

$9 {y}^{2} - 36y + 36 - 4 {x}^{2} + 16x - 16 = 36$

To get the general form, we equate everything to zero to get,

$9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0$

The correct choice is D.

7 0

3 years ago

What is the area of a circle with a diameter of 10

8_murik_8 [283]

It would be D because the formula is: pi r^2

5 0

3 years ago

Read 2 more answers

60 - 3d + 20 - 6 = 4d

iragen [17]

60-3d + 20-6 =4d
74-3d =4d
-3d =4d -74
-7d = -74
D=74/7

4 0

3 years ago

Read 2 more answers

Lim (x+1) (3x^2-9)<br> X2

mafiozo [28]

Answer:

$\lim_{x \to 2} (x+1)(3x^2-9) = 9$

Step-by-step explanation:

Step 1: Write out limit

$\lim_{x \to 2} (x+1)(3x^2-9)$

Step 2: Evaluate

(2 + 1)(3(2)² - 9)

3(3(4) - 9)

3(12 - 9)

3(3)

5 0

3 years ago

11.15+11.75+10.70 I need some help with this problem

Nina [5.8K]

Answer:

33.60 is your answer

Step-by-step explanation:

Remember to add based on place value.

Note that 10.70 is the same as 10.7

11.15 + 11.75 = 22.90

22.90 + 10.7 = 33.60

<em>~Senpai</em>

3 0

3 years ago

Read 2 more answers