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2 years ago

Solve each of these equations. Explain or show your reasoning.

Mathematics

1 answer:

defon2 years ago

4 0

Answer: Answers are in the pictures

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What number must you add to complete the square?<br><br> x^2-10x=46

gtnhenbr [62]

X² - 10x = 46
10/2 = 5; 5²+ 25 add 25 to both sides

x² - 10x + 25 = 46 + 25

so the number you have to add to complete the square is 25.

5 0

3 years ago

Determine whether it’s always, never, or sometimes true. <br> I put never true. Is that right?

DiKsa [7]

Answer:

yes the answer is never true

Step-by-step explanation:

as the correct answer is

$\sqrt{2x}$

4 0

2 years ago

Twenty percent of what number is 9?

vampirchik [111]

Answer:

Step-by-step explanation:

There are 100%. When divided by 5 you get twenty percent. 9 times 5 equals 45.

3 0

2 years ago

What is the slope of the line that passes through (-12, -5) and (0, -8)?

Lady bird [3.3K]

Answer:

-3/12

Step-by-step explanation:

8 0

2 years ago

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

$\frac{\frac{-1}{4}}{\frac{1}{2}}$

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

8 0

2 years ago