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3 years ago

How does multiplying both the dividend and the divisor by a factor of 10 sometimes make a problem easier to solve?

Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

Because the divider and dividend are actually smaller then factors

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List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution

vlada-n [284]

Answer:

Step-by-step explanation:

If you take (2x+5) (2x+5) = 0

then 4x^2 + 20x +25 = 0

5 0

3 years ago

Help me class8 (surds)

Mashcka [7]

Answer:

$\cfrac{991\sqrt{2} }{80}$

Step-by-step explanation:

For a start simplify each of the roots:

$\sqrt{72} =\sqrt{36*2} =6\sqrt{2}$
$\sqrt{50} =\sqrt{25*2} =5\sqrt{2}$
$\sqrt{128} =\sqrt{64*2} =8\sqrt{2}$
$\sqrt{98} =\sqrt{49*2} =7\sqrt{2}$

Now simplify the expression in steps:

$\sqrt{72}-\cfrac{48}{\sqrt{50} } -\cfrac{45}{\sqrt{128} } +2\sqrt{98} =$

$6\sqrt{2}-\cfrac{48}{5\sqrt{2} } -\cfrac{45}{8\sqrt{2} } +2*7\sqrt{2} =$

$6\sqrt{2}-\cfrac{48*8+45*5}{5*8\sqrt{2} } +14\sqrt{2} =$

$20\sqrt{2}-\cfrac{609}{40\sqrt{2} } =$

$20\sqrt{2}-\cfrac{609*\sqrt{2} }{40\sqrt{2} *\sqrt{2} } =$

$20\sqrt{2}-\cfrac{609\sqrt{2} }{40*2 } =$

$20\sqrt{2}-\cfrac{609\sqrt{2} }{80 } =$

$\sqrt{2} (20-7\cfrac{49}{80} )=$

$\sqrt{2} *12\cfrac{31}{80} =$

$\cfrac{991\sqrt{2} }{80}$

3 0

2 years ago

A boat traveled 27 miles in 2 hours. At this, how many miles will the boat travel in 1/2 hour?

Fantom [35]

You do distance over time to get the rate, so you'd do 27/2= 13.5mph then divide that in half since you're asking for the distance traveled in half that hour so you do 13.5/2 and you get 6.75 miles traveled in half and hour.

4 0

2 years ago

Find the volume of the figure.

Valentin [98]

11.2 x 11 x 8 is 985.6

so uh- yeah i hope that helped lol

6 0

2 years ago

Hello everyone can you answer this for me? What is A in the equation attached? Please and thank you.

lapo4ka [179]

Answer:

a = 6

Step-by-step explanation:

Hello!

Solve:

4(3a - 4) = 56
3a - 4 = 14 (factoring out 4)
3a = 18 (adding 4 to both sides)
a = 6 (dividing by 3)

Another way:

4(3a - 4) = 56
12a - 16 = 56 (distributive property)
12a = 72 (moving like terms)
a = 6 (dividing by 12)

Distributive Property of Multiplication:

The process of distributing the outside factor to the terms in the parenthesis.

Example:

$4(3a - 4)\\\\4(3a) - 4(4)\\\\12a - 16$

7 0

2 years ago

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