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Bingel [31]
3 years ago
11

Missing side length

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

Since ΔABC ~ ΔQRS, we know that:

=> AB/QR = BC/RS

=> 2/n = 6/15

=> n = (2 × 15)/6 = 5

*You can also use AB/QR = AC/ QS to calculate n

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Tell whether the ordered pair is a solution of the system of linear equations.
Lana71 [14]

To figure out if the ordered pairs are a solution to the equations, you would need to plug in the points. Your points are ordered as (x,y)

You would plug in the number that's in the x spot in x, and the number in the y spot in y.

Let's start of with the first problem:

First thing you would do is plug in (-1) to x, and 6 to y.

Your equations would look like this:

6(-1) + 3(6) = 18

2(-1) + 6 = 7

What you would now do is solve the equations. When you solve them, you would get these answers

12 = 18

4 = 7

For #1, it would be no solution because the numbers do not equal each other. (Fun fact) If one of them ends up as a solution, but the other is no solution, the answer would be no solutions because BOTH of them have to be a solution to the equations given in order to be a solution.

If you do the same strategy, (plugging in the numbers to x and y), you would get the rest of the answers for the problems.

I hope this helps, if you need any more assistance, I would be glad to help!




4 0
3 years ago
Need some help please
Pie

Answer:

145

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What happens when warm air collides with cold air and is forced to rise over cold dome.
igor_vitrenko [27]

Answer:

Something to raise the moist air to form the clouds and cause precipitation. An example of lift is warm air colliding with cold air and being forced to rise over the cold dome. The boundary between the warm and cold air masses is called a front.

Step-by-step explanation:

6 0
3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Dimitri rode his bike 32 miles yesterday. He rode 12 4/5 miles before lunch and the rest of the distance after lunch. How far di
Karo-lina-s [1.5K]
The answer is 19.2 miles.
7 0
3 years ago
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