What’s the answer to this problem?

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

Tanzania [10]

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:

#learnwithBrainly

7 0

3 years ago

What does 4/5 % of 500 equal?

777dan777 [17]

4? since 500x8/1000 is 4

6 0

4 years ago

Read 2 more answers

Fiona wrote a check to the veterinarian for $89.56. She’ll use the check register to record her transaction. What will be her ne

Simora [160]

Answer:

The Answer is A. 2458.94

Step-by-step explanation:

5 0

3 years ago

3. Which expression is equivalent to log532?

saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

log[PQ] = Q.logP

Step-by-step explanation:

8 0

3 years ago

a factory makes 12 bikes in 3 hours. if it keeps making bikes at the same rate, how many bikes will it have made in 8 hours?

olasank [31]

Answer:

32

Step-by-step explanation:

if they make 12 bikes in 3 hours, that means they make 12/3=4 bikes in an hour. so in 8 hours they make 4*8=32 bikes.

8 0

3 years ago