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3 years ago

Find the next four terms of the sequence 5, 4, 9, 13, 22

Mathematics

1 answer:

Ganezh [65]3 years ago

8 0

Hello,

It is the Fibonacci 's suit.

$u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\$

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Solve for m

MakcuM [25]

Answer:

m = 29/48

Step-by-step explanation:

Given that

x₂ = (y₂-y₁) +10 →(1

y₂ = y₁-x₁ → (2

y₁= 37

x₁ = 29

Now substitute the value of x₁ and y₁ into equation 2

y₂ = 37-29

y₂ = 8

Now substitute the value of y₂ and y₁ into equation 1

x₂ = (8-37) +10

x₂ = -19

As we know the slope (m) can be calculated as follows

m =(y₂ - y₁)/(x₂ - x₁)

m = (8- 37)/(-19 - 29)

m = (-29)/(-48)

m = 29/48

So our slope is 29/48

3 0

3 years ago

What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?

Alika [10]

<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u> $y + 3 = \frac{2}{3}(x -5)$ <u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

Given that,

slope = 2/3

$m = \frac{2}{3}$

The line passes through (5, -3)

Substitute m = 2/3 and $(x_1, y_1)$ = (5, -3) in point slope form

$y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)$

Thus equation of line in point slope form is found

8 0

3 years ago

A regular hexagon (6-sided figure) has sides that are all the same length. Each side length is represented by the expression x +

Mandarinka [93]

Perimiter=6 times legnth of one side
P=6(x+1/3y)
P=6x+6/3y
P=6x+2y

if x=5 and y=6
P=6(5)+2(6)
P=30+12
P=42

A. P=6x+2y
B. 42 units is the perimiter

8 0

3 years ago

Can someone please give me the answers to my math homework

jok3333 [9.3K]

Answer: #1 is 10. #2 is 24. #3 is 3 1/5. #4 is 1 1/9. #5 is 21. #6 is 10 2/3. #7 is 30. #8 is 11 3/7. I’m only telling you eight of them because you are in fifth grade and you should try to complete the worksheet even if you mess up. You will learn from your mistakes after the paper is graded.

Step-by-step explanation: To get the answer, all you have to do is flip the second number and then multiply.

3 0

3 years ago

Please rewrite 5x − 15y = − 60 in the slope intercept form

Margarita [4]

Basically solve for y
minus 5x fromboth sides
-15y=-5x-60
divide both sides by -15
y=1/3x+4

4 0

3 years ago