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Stella [2.4K]
3 years ago
14

Solve by completing a square r^2-8r+9

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Solving  r^2-8r+9 by completing a square gives (r+4)^2-7

Step-by-step explanation:

We need to solve the equation r^2-8r+9 by completing a square

The completing a square method requires: a^2\pm 2ab +b^2=(a\pm b)^2

Solving:

r^2-8r+9\\=(r)^2-2(r)(?)+(?)^2+9

We need to add and subtract (4)^2=16 to make the equation a complete square

=(r)^2-2(r)(4)+(4)^2-(4)^2+9\\=(r)^2-2(r)(4)+(4)^2-16+9\\=(r)^2-2(r)(4)+(4)^2-7\\=(r+4)^2-7

So, Solving  r^2-8r+9 by completing a square gives (r+4)^2-7

Keywords: Solve by completing a square

Learn more about Solve by completing a square at:

  • brainly.com/question/7932185
  • brainly.com/question/1414350
  • brainly.com/question/1464739

#learnwithBrainly

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Answer:

The side lengths are 1.5m and 2.5m.

Step-by-step explanation:

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2 years ago
10. The probability of buying pizza for dinner is 34% and the probability of buying
kipiarov [429]

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

4 0
3 years ago
Input the equation of the given line in standard form.
noname [10]

Answer:

y = 2/3x + 1/3

Step-by-step explanation:

Standard form of a line looks like y=mx+b. We already know that m is 2/3, but we don't know b. b is our y-int. With the given information, we can write this equation is point-slope form. That looks like y - y1 = m(x-x1). (x1, y1) = (1, 1) - the point given to us. So if you plug in that point to the equation, and the slope - m, it'll look like y - 1 = 2/3 (x - 1).

From here, you can just solve for y, and it'll be in standard form. I would distribute 2/3 first.

y - 1 = 2/3x - 2/3

Then, add 1 to both sides.

y = 2/3x + 1/3

4 0
3 years ago
Solve by completing the square: 5x2 + 20x + 32 = 0
igor_vitrenko [27]
Your answer is no solution (because a negative square root doesn't exist)
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5 0
3 years ago
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ANTONII [103]

Answer:

-29

Step-by-step explanation:

they are both negative so u add them.

3 0
3 years ago
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