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2 years ago

Multiply. 32√⋅28√⋅3√⋅6√

Mathematics

2 answers:

STALIN [3.7K]2 years ago

5 0

Answer: 48√7

Step-by-step explanation:

inn [45]2 years ago

5 0

Answer: $48\sqrt{7}\\$

Step-by-step explanation:

= √(4×8)×√(4×7)×√3×√(3×√2)

= √4×√8×√4×√7×√3×√3×√2 ( because √(m×n)=√m×√n)

=√4×√4×√8×√2×√7×√3×√3

=4×√(4×2)×√2×√7×3

=4×√4×√2×√2×√7×3

=4×2×2×√7×3

=48√7

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-3|x+4|+16=7<br>two solutions

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3 years ago

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Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0

miss Akunina [59]

<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^2+y^2-2x+4y-11=0$

So, solving we have:

$x^2+y^2-2x+4y=11$

$(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16$

$(x^2-1)+(y^2-(-2))=16$

Now, we have that:

$h=1\\k=-2\\r=\sqrt{16}=4$

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

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3 years ago

How do I write the number in decimals

lawyer [7]

Answer:

to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

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2 years ago