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2 years ago

What is the intermediate step in form (x+a)^2=b as a result of completing the square of the following equation

Mathematics

1 answer:

Andru [333]2 years ago

6 0

Answer:

6x² + 72x - 170 = -2

<=> 6x² + 72x - 168 = 0

<=> x² + 12x - 28 = 0

<=> x² + 12x + 36 = 64

<=> (x+6)² = 64

Step-by-step explanation:

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A cone has a volume of 1,256 cubic centimeters. If the height of the cone is 12 centimeters, what is the radius of the base in c

luda_lava [24]

Answer:

The radius 10 cm

Step-by-step explanation:

∵ The volume of the cone = 1/3 πr²h

∵ v = 1256 cm³

∵ h = 12 cm

∴ 1256 = 1/3 π (12) r²

∴ r² = 1256 × 3/12π = 100 cm

∴ r = √100 = 10 cm

5 0

3 years ago

Please help!!! I’ll mark brainliest!! (Look at picture)

Svetllana [295]

Answer:

$\huge\boxed{\sf (x*4) + (x*5) = 54}$

Step-by-step explanation:

$\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}$

Hope this helped!

4 0

3 years ago

a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 o

Pachacha [2.7K]

Given that total number of books in the book store = 75972

Given that total number of books in science section = $\frac{1}{3}$ rd of total books = $\frac{1}{3}*75972$ = 25324

Then remaining number of books = 75972 - 25324 = 50648

Given that 75% of the remaining books are in business section = 75% of 50648 = 0.75*50648 = 37986

Then number of books in the math section = 50648 - 37986 = 12662

Hence final answer is 12662 books in the math section.

4 0

3 years ago

Read 2 more answers

HELP!!

torisob [31]

195 is the answer because you replace x with 10

Step-by-step explanation:

825-630=195

3 0

3 years ago

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How is multiplying two decimals different from multiplying a whole number and a decimal

prisoha [69]

Answer:

So multiplying decimal and whole number means it will always equal as a decimal. But multiplying decimal with decimal means could equal whole or decimal number

Step-by-step explanation:

6 0

2 years ago

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