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marysya [2.9K]
3 years ago
14

2x+3y=12 find four solutions​

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

y = 0 and x = 6

y = 2 and x = 3

y = 4 and x = 0

y = 6 and x = -3

Step-by-step explanation:

2x+3y=12 is the equation of a straight line.

There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.

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Need answer quickly ;D
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Answer:

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3 years ago
What is a formula for the nth term of the given sequence? 48, 72, 108​
WITCHER [35]

Answer:

a_n=48*1.5^{n-1}

Step-by-step explanation:

<u>Geometric Sequence</u>

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

r=\frac{72}{48}=1.5

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

a_n=a_1*r^{n-1}

Where a1=48 and r=1.5

\boxed{a_n=48*1.5^{n-1}}

For example, to find the 5th term:

a_5=48*1.5^{5-1}=48*1.5^{4}=243

7 0
3 years ago
I WILL GIVE BRAINLIEST FOR FULL PROOF! no trolls!!!
Alex Ar [27]

Answer:

AE = CF .

Why?

BD acts as a shape bisector because it cuts the entire rectangle in half from points B and D.

Given that <u>AE is perpendicular to BD</u>, and <u>CF is perpendicular to BD</u> (which we know BD is a bisector), that means that both AE and CF are of equal length inside the rectangle.

Another way to look at it is:

AE = CF because they are technically just vertical angles, shifted and displaced in a weird way; it is a different representation of vertical angles, only distorted. <em>(Don't use this as your answer though, it needs more context. I just want to make it look easier to comprehend.)</em>

5 0
3 years ago
Read 2 more answers
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