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2 years ago

How many rectangles can you make with an area of 12in

Mathematics

2 answers:

Lerok [7]2 years ago

5 0

3 rectangles can make an area of 12in give him/her brainiest they answered first. :)

Mkey [24]2 years ago

3 0

Answer:

you can make 3 rectangles with an area of 12in

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowe

koban [17]

Answer:

800 ÷ 40

=20

It will take Carmen 20 to pay back her loan

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Blizzard [7]

The answer is Like terms.

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zhenek [66]

Answer:

Step-by-step explanation:

To have a negative slope, m has to be negative. Any negative slope would show up as a negative coefficient in front of x.

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3 years ago

19. (3,5), (2,-2)

Viktor [21]

Answer:

y=7x−16 the answer ;)

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