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3 years ago

Which expression is equivalent to the given expression? 2√20 × 4√6

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

16 sqrt(30)

Step-by-step explanation:

2√20 × 4√6

Multiply

2*4 sqrt(20*6)

8 sqrt(120)

Simplifying

8 sqrt(4 *30)

We know sqrt(ab) = sqrt(a) sqrt(b)

8 sqrt(4) sqrt(30)

8 *2* sqrt(30)

16 sqrt(30)

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R’(-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?

xz_007 [3.2K]

Answer:

Step-by-step explanation:

When we reflect over x-axis then the x-coordinate doesn't change and the y-coordinate changes its sign

in means if R = (x, y) then R' = (x, -y)

so we have:

x = -1 and -y = 9

y = -9

which gives R = (-1, -9)

6 0

3 years ago

Do the ratios 4/2 and 10/5 form a proportion? Yes or no

mars1129 [50]

Answer:

These are both 20 so that means that this is proportional, yes.

Step-by-step explanation:

Hi.

To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.

Here is how we do this.

$\frac{4}{2}$ $\frac{10}{5}$

So basically what we are doing is multiplying across in a diagonal direction.

Diagonal meaning like a slash / .

So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.

Do the same for the 2 and the 10.

So we have to multiply :

4 x 5

2 x 10

These are both 20 so that means that this is proportional, yes.

Hope this helps.

If you have any questions or concerns feel free to message me.

8 0

3 years ago

I NEED HELP ASAP PLEASEEEE

spin [16.1K]

Answer:

Step-by-step explanation:

1) Find the Mean of all the numbers.

3+4+5+7+10+12+15=56

56/7=8 mean is 8

Now We Calculate Standard Deviation:

S= $\sqrt{(3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2}$

You take each number from the problem i.e 3,4,5...

and then you subtract the mean from it and then square it.

S= $\sqrt{(-5)^2+(-4)^2+(-3)^2+(-1)^2+(2)^2+(4)^2+(7)^2}$

S= $\sqrt{25+16+9+1+4+16+49}$

S= $\sqrt{120}$

S= $\sqrt{120}/7$

7 is the amount of data units given in the problem.

120/7=17.1428571429

$\sqrt{17.1428571429}$ =4.1403933560541

Nearest hundredth=4.14

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3 years ago

J(-3, 8) K(-3, -1) L(4, -1) and M(4, 8)

iris [78.8K]

Answer:

Step-by-step explanation:

draw the dots where the coordinates for each letter align.

Method: start with x. move your finger how many spaces the first number sys across the X line do the same for y, but up and down.

then just draw a dot where it ends at.

repeat this process until the polygon is complete.

trace a line from each dot like connect the dots.

Hope this helped!

7 0

3 years ago

Read 2 more answers

What is the composition of transformations mapping ABC to A'B'C"? The first transformation is The second transformation is AABC

spin [16.1K]

Answer:

The first Transition is a reflection over the line M

The second transition is a 180 degree rotation.

Step-by-step explanation:

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3 years ago