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4 years ago

How knows how to do this? if so help me n give the answers. needs to b done asap

Mathematics

1 answer:

Anni [7]4 years ago

8 0

Answer:

1.) -1

2.) 2

3.) -1/3

4.) 1

5.) -1/4

6.) -5

7.) -1

8.) -2

Step-by-step explanation:

rise over run. draw a line from the two points that meet on intersections

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What is the common ratio and explicit formula for -2,6,-18,54?

Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

$=\frac{6}{-2}$

$=-3$

Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

$=\frac{-18}{6}$

$=-3$

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

6 0

3 years ago

Write an equation for the nth term of the geometric sequence below: (Equation NEEDS to be written as gn=7(5)^(n-1) or as gn=2/3(

andriy [413]

Answer:

You didn't give the geometric sequence in question.

But to find the nth term of a geometric sequence, use the formula

Sn = ar^(n - 1)

Where a is the first term of the sequence

r is the common ratio of the sequence.

Example: To find the nth term of the geometric sequence

1/2, 1/4, 1/8, 1/16, ...

Here, a = 1/2

r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.

Sn = (1/2)(1/2)^( n - 1)

Apply this method to the sequence you were given, it will be helpful.

8 0

3 years ago

The sum of two numbers is 24. The difference is 15. What are the two numbers?

tatiyna

The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39 ⇒x=39/2=19.5

x+y=24
-(x-y=15)
-------------------
2y=9 ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15

3 0

4 years ago

A triangle has sides of 18cm and 32cm. The measurement of the longest side is missing. Ted says that one possibility for the unk

gulaghasi [49]

Since the measurement of the longest side is missing we can use the pythagorean theorem to find the hypotenuse or longest side.

18^2 + 32^2 = c (hypotenuse) ^2
324 + 1,024 = c^2
1,348 = c^2
sqrt 1,348 = c
36.72 = c
i do not agree with ted because when you use the pythagorean theorem you do not get 47cm

this can be proved by
18^2 + 32 ^2 = 47^2
we already know the left side is 1,348
1,348 = 47^2
1,348 does not equal 2,209 which is 47 squared

4 0

3 years ago

If x -9 is a factor of x^2 -5x-36 , what is the other factor ?

faust18 [17]

Answer:

(x + 4) (x - 9)

Step-by-step explanation:

Factor the following:

x^2 - 5 x - 36

The factors of -36 that sum to -5 are 4 and -9. So, x^2 - 5 x - 36 = (x + 4) (x - 9):

Answer: (x + 4) (x - 9)

3 0

3 years ago