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fenix001 [56]
3 years ago
9

find the common ratio r for the geometric sequence and use r to find the next three terms 5,15,45,135

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer: 405


Step-by-step explanation:

ratio r for the geometric  sequence: 5, 15, 45, 135

r is a radios of a circle,

d is the Diameter

r1=5. r2=15, r3=45, r4=135, r5=?

2*r=d

so:

d1=10, d2=30, d3=90, d4= 270

now following the sequence:

r1+d1=r2       5+10=15

r2+d2=r3      15+30=45

r3+d3=r4       45+90=135

r4+d4=r5      therefore 135 + (135*2) = 135+270=405

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Pam is taking a train from the town of Rome to the town of Florence. Rome is located 40 miles due west of the town of Paris. Flo
tankabanditka [31]

Answer:

Pan is closest to Paris when she gets to Florence when she is 35 miles away

Step-by-step explanation:

With Paris at (0,0), Rome is 40miles west which is on the negative x axis.

Florence is 35 miles closer (east to Paris) so we have -45 + 35 = -10

and 55 mikes north of Rome which is on the positive y-axis. So Florence is at point (-10,55)

The distance between the two points Florence and Paris is √(x2 - x1)^2 + (y2 - y1)^2

x1 = 0, y1 = 0

x2 = -10, y2 = 55

So we have

√(-10-0)^2 + (55-0)^2

= √(-10)^2 + (55)^2

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3 0
3 years ago
Instructions: Simplify the algebraic expression.<br><br> −12(32x−10y)
allochka39001 [22]

Answer:

-384x - 120y

Step-by-step explanation:

General Concepts and Formulas:

Brackets

Parentheses

Exponents

Multiplication

Division
A
ddition
S
ubtraction

Steps:

1) Distribute

-12(32x-10y)

We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.

So first, multiple -12 by 32 and add the variable 'x' when getting the product:

-12(-384x - 10y)

Now that we have one part, let's solve the other part.

We now must multiple -12 by -10, which gets us 120, now we must plug in:

(-384x - 120y)

(Remove parenthesis)

⇒  -384x - 120y

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