MATHEMATICS HIGH SCHOOL

P(-6,5); y= 2x - 3
What is the equation of the perpendicular line that contains line P?

Answers

Answer 1
Answer: Two lines are perpendicular if the product of their slopes is -1.
y=mx+b \perp y=2x-3 \n \Downarrow \nm * 2=-1 \nm=-(1)/(2) \n \ny=-(1)/(2)x+b \nP(-6,5) \nx=-6, \ y=5 \n\Downarrow \n5=-(1)/(2) * (-6)+b \n5=3+b \n5-3=b \nb=2 \n \n\boxed{y=-(1)/(2)x+2}

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Answers

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Answers

Factoring this out will be: (a-5) (a+4)

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Answers

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With one number cube, what is the probability of rolling a number less than or equal to 4?

Answers

4 in 6. or simplified to 2 thirds. 
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Answers

The correct statement regarding the operations with polynomials is given as follows:

C. (10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 11x² + 2x - 13.

What are like terms?

Like terms are terms that share these two features:

  • Same letters. (algebraic variables).
  • Same exponents.

If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify a polynomial.

Hence the polynomial that is correctly simplified in this problem is given as follows:

(10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 2x² + 9x² + 2x - 11 - 3 = 10x³ + 11x² + 2x - 13.

Meaning that option C is the correct option in the context of this problem.

More can be learned about like terms at brainly.com/question/17471184

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S=2WH+2WL+2HL SOLVE FOR L

Answers

2WH+2WL+2HL=S\n\n2WL+2HL=S-2WH\n\nL(2W+2H)=S-2WH\n\n\boxed{L=(S-2WH)/(2W+2H)}
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