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Andrej [43]
2 years ago
11

Step1. Formulate two real-life problems involving system of linear inequalities in

Mathematics
1 answer:
pav-90 [236]2 years ago
4 0

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I beg someone help.
erastovalidia [21]

We will begin by working through Part (a): Simplify √18

To simplify a square root such as the one above, we must factor out perfect square numbers (this means we must find a number that multiplies to 18 and gives a whole number when we square root it). Using our knowledge that √9 is a perfect square, we should factor out a 9 from 18, as modeled below:

√18 = √(9*2)

We can separate this square root into two square roots multiplied together, as shown below:

√(9*2) = √9 * √2

Now, we should simplify √9, which equals 3, because 3 * 3 = 9.

√9 * √2 = 3 * √2 = 3√2

Therefore, √18 = 3√2.


Now, we can move on to the next problem: √6 * √15.

To begin this problem, we can multiply the square roots together, which means multiplying the numbers under the radical.

√6 * √15 = √(6*15) = √90

To simplify this, we use the same process as above:

√90 = √(10 * 9) = √9 * √10 = 3√10

Note: We know that this fully simplified because we cannot factor out another perfect square number from the number under the radical (10).

Therefore, your two answers are 3√2 and 3√10.

Hope this helps!

8 0
3 years ago
Read 2 more answers
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
Monica [59]

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

6 0
2 years ago
the world's largest Apple had a mass of 1849 grams sue said the mass was greater than 2 kilogram does she stament make sense plz
Monica [59]
No, 2 kilograms are 2000 grams.
6 0
3 years ago
What is the greatest number that rounds to 500 when rounded to the nearest ten?
andriy [413]
I believe the answer is 549.
8 0
3 years ago
Read 2 more answers
What is the conjecture sentence for the pattern 1, ,4, 9 ,16?
nexus9112 [7]

Answer:

Square numbers

Step-by-step explanation:

if 1 is squared, you get 1.

if 2 is squared, you get 4.

if 3 is squared, you get 9.

if 4 is squared, you get 16.

And thus square numbers.

8 0
3 years ago
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