The prime number is 53 because the others have factors other than itself and 1 but 53 doesn't
When vinegar, an acid, is mixed with baking soda, a base, the reaction is similar to the reaction of Alka-Seltzer and water; a salt, water and carbon dioxide are produced.
To factor,
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[[[</h2>
1) First multiply coefficient of a² and constant no,
That is,
3×(-42)=-126
Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.
2) Find the factor
126=2×3×3×7
=18×7
18 and 17 are factors of 126
Also,18-7 =11.
So they are required factors for factoring,
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Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.
<u>Answer:</u>
3a²+11a-42
=3a²+(18-7)a -42
=3a²+18a-7a-42
=3a(a+6) -7(a+6)
=(a+6)(3a-7)
This is more of a physics question. Basically you have to separate all the given values into x- and y- coordinates. You are given the home (3 miles East)(5 miles up), so the 3 miles would be on the x axis and the 6 miles on the 6 axis
Given that, you can determine the total displacement of the house from the town using Pythagorean’s theorem. You then do the same with the office and then add your 2 resultant answers together.
The home will be square root 34 miles away from the town, and the office will be square root 85 miles. Adding these together, the answer would be
15,05 miles
Meaning that the lawyers home is 15,05 miles from her office (home to office would be in a south western direction)
The value of her investment at the end of 3 years is £10955.08
<h3>How to determine the value?</h3>
The given parameters are
- Principal, P = £5000
- Rate, r = 6%
- Time, t = 3 years
The value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 6%)^3
Evaluate the expression
Value = 10955.08
Hence, the value of her investment at the end of 3 years is £10955.08
Read more about compound interest at:
brainly.com/question/24924853
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