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3 years ago

10

Find slope of (2,3) and (-5,6).

1 answer:

Archy [21]3 years ago

4 0

Answer:

Slope is 3/-7

Step-by-step explanation:

$slope = \frac{6 - 3}{ - 5 - 2} = \frac{3}{ - 7}$

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

6 0

3 years ago

Read 2 more answers

I need help with this question

lina2011 [118]

Ratio: 3/4 : 1/2

We can also write this as:

3/4 / 1/2

Flip the 2nd fraction and multiply:

3/4 * 2/1

Multiply the numerators and denominators together:

6/4

Simplify:

3/2

8 0

3 years ago

Read 2 more answers

Levart [38]

Answer: 7

Step-by-step explanation: its correct, trust me

6 0

2 years ago

Read 2 more answers

what is the measure of an angle that turns through 1/5 of a circle?an angle that turns through 3/5 of a circle?

Arisa [49]

Answer:3.2346693550774

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help solving this problem

amid [387]

2t + 5b = 20
8t + 3b = 29
Multiply the first equation by-4
-8t -20b = -80
8t + 3b = 29
-17b = -51
b = 3
Plug 3 in for b into either equation and solve for t.
2t + 5(3) = 20
2t + 15 = 20
2t = 5
Divide both sides by 2
t = 2.50

5 0

3 years ago