Mathematics, 29.08.2019 08:00 quinten3700

What is the following difference? 11√45 - 4√5 (picture attached)

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The answer is 29√5.

Since 11√45 and 4√5 do not share a common radical, you cannot subtract them. By looking at the equation, you can see that 11√45 is not fully simplified yet by the 45 within the square root.
Breaking it up into squares, you can find that 3 x 3 x 5 = 45, which can be translated into 3² x 5. Since the 3 is a square component in the 45, you can now extract it. Extract the 3 by dividing it from the 45 within the square root and multiplying it into the 11.
Your result is a 33√5, which shares a common radical with 4√5. You can now subtract 33√5 and 4√5, which is 29√5.

Side note: I noticed you got the answer wrong because you chose 7√40. I presume it's because you subtracted the components individually. I suggest that you look up lessons about simplifying radicals, along with adding and subtracting them. Hope this helps!

Answer from: gigipalacio32

The correct answer is option C , 29 √5

Step-by-step explanation:

11√45 - 4√5

If we simplify the term 11√45 , we get

=11√(9 x5)

= 11√(32 x 5)

= 11 x 3 √5

= 33 √5

Now on subtracting the two numbers, we get –

33 √5 - 4√5

= (33 -4) √5

= 29 √5

Answer from: Quest

Iam not sure , but probably 750 or 7.5

Answer from: Quest

answer:

given the linear inequality : $x-2y\geq -12$

add 2y to both sides we get;

$x-2y+2y\geq -12+2y$

simplify:

$x\geq -12+2y$

add 12 to both sides of an equation;

$x+12\geq -12+2y+12$

simplify:

$x+12\geq 2y$

divide both sides by 2 we get;

$\frac{x}{2} + 6 \geq y$

$y\leq \frac{x}{2} + 6$

the related equation for the inequality equation [1] is;

$y =\frac{x}{2} +6$

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

$y =\frac{0}{2} +6$

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

$0 =\frac{x}{2} +6$

subtract 6 from both sides we get

$0-6 =\frac{x}{2} +6-6$

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

multiply both sides by 2 we get;

$-6 \times 2=x$

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

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What is the following difference? 11√45 - 4√5 (picture attached)
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