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4 years ago

What value of c makes x^2-12x+c a perfect square trinomial

Mathematics

2 answers:

klio [65]4 years ago

5 0

36; Divide b (12) by 2 and square it. 12/2= 6 , 6^2=36

erastova [34]4 years ago

4 0

Answer:

the value of C is 36

Step-by-step explanation:

$x^2-12x+c$

find out the value of 'a' that makes perfect square trinomial. use completing the square method.

In completing the square method, take the coefficient of x and divide it by 2

then square it

coefficient of x is -12

$\frac{-12}{2} =-6$

Now square it $(-6)^2= 36$

the value of C is 36

$x^2-12x+36$

$(x-6)(x-6)=(x-6)^2$

So the value of C is 36

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3 years ago

How many nickels will fit in a 2 liter bottle

lara [203]

A nickel has a diameter of 21.21 mm and a thickness of 1.95 mm

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4 years ago

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Step-by-step explanation:

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3 years ago

[ 2 ( 7 . 25 ) + 2 ( 24 )] - 10

Mekhanik [1.2K]

Answer: 57 over 2

=28 and 1 over 228

=28.5

Result57 over 2 equals 28 and 1 over 2 equals 28.5

Step by step

Step 1 of 4: Multiply.

Multiply

( Highlighted:2 Highlighted:× Highlighted:7.25 + 24 ) − 10 = ( Highlighted:1450 over 100

1450

100

+ 24 ) − 10

Step 1 of 4: Multiply, sub-step a: Multiply.

Multiply

725 over 100

725

100

× 2 = ( 725 × 2 ) over 100

725 × 2

100

= 1450 over 100

1450

100

Step 1 of 4: Multiply.Hide

Step 2 of 4: Add.

Add

( Highlighted:1450 over 100

1450

100

Highlighted:+ Highlighted:24 ) − 10 = ( Highlighted:3850 over 100

3850

100

) − 10

Step 2 of 4: Add, sub-step a: Convert integer to fraction.

Convert integer to fraction

24 = 24 over 1

Step 2 of 4: Add, sub-step b: Find common denominator.

Find common denominator

1450 over 100

1450

100

+ 24 over 1

= ( 1450 × 1 ) over ( 100 × 1 )

1450 × 1

100 × 1

+ ( 24 × 100 ) over ( 1 × 100 )

24 × 100

1 × 100

= 1450 over 100

1450

100

+ 2400 over 100

2400

100

100 is the least common multiple of denominators 100 and 1. Use it to convert to equivalent fractions with this common denominator.

Step 2 of 4: Add, sub-step c: Add.

Add

1450 over 100

1450

100

+ 2400 over 100

2400

100

= ( 1450 + 2400 ) over 100

1450 + 2400

100

= 3850 over 100

3850

100

Step 2 of 4: Add.Hide

Step 3 of 4: Subtract.

Subtract

3850 over 100

3850

100

− 10 = 2850 over 100

2850

100

Step 3 of 4: Subtract, sub-step a: Convert integer to fraction.

Convert integer to fraction

10 = 10 over 1

Step 3 of 4: Subtract, sub-step b: Find common denominator.

Find common denominator

3850 over 100

3850

100

− 10 over 1

= ( 3850 × 1 ) over ( 100 × 1 )

3850 × 1

100 × 1

− ( 10 × 100 ) over ( 1 × 100 )

10 × 100

1 × 100

= 3850 over 100

3850

100

− 1000 over 100

1000

100

100 is the least common multiple of denominators 100 and 1. Use it to convert to equivalent fractions with this common denominator.

Step 3 of 4: Subtract, sub-step c: Subtract.

Subtract

3850 over 100

3850

100

− 1000 over 100

1000

100

= ( 3850 − 1000 ) over 100

3850 − 1000

100

= 2850 over 100

2850

100

Step 3 of 4: Subtract.Hide

Step 4 of 4: Simplify.

Simplify

2850 over 100

2850

100

= 57 over 2

= 28 and 1 over 228

Step-by-step explanation:

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3 years ago