X^2-10x+29 in the form (x-a)^2+b

The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an

Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0

3 years ago

5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.

s2008m [1.1K]

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

Learn more :brainly.com/question/25506437

6 0

3 years ago

If 16 key chains cost cost $19.68 how much do 25 key chains cost

Vsevolod [243]

We know how much 16 keychains is, now we need to find how much one is.

19.68 / 16 = $1.23

$1.23 is the price of one keychain, now you can multiply that by 25 to see how much 25 keychains cost.

6 0

3 years ago

Read 2 more answers

Esme plans to flip a fair coin 3 times and record the results of each flip.

Feliz [49]

Answer:

⅛

Step-by-step explanation:

P(H&H&H) = ½ × ½ × ½ = ⅛

5 0

3 years ago

Read 2 more answers

What is 20 add blank equals 63?

MArishka [77]

To figure this out, you do 63 - 20 which is 43. I hope this helps!

8 0

3 years ago

Read 2 more answers

X^2-10x+29 in the form (x-a)^2+b​

X^2-10x+29 in the form (x-a)^2+b