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2 years ago

How do i simplify -√80 please explain in depth

Mathematics

1 answer:

inn [45]2 years ago

6 0

So to simplify a radical, use the product rule of radicals, which is √ab = √a x √b. And also remember that √a x √a = a.

With these things in mind, you can simplify this radical as such (also remember that the minus sign = -1):

-1√80 = -1√(10 x 8) = -1√(5 x 2 x 4 x 2) = 2 x 2 x -1√5 = -4√5

In short, the simplified radical of -√80 is -4√5.

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What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)

Nesterboy [21]

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

$slope(m1) = \frac{y2 - y1}{x2 - x1}$

$or \: m1 = \frac{ - 4 - 6}{0 - 12}$

$or \: m1 = \frac{5}{6}$

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

$y + 2 = \frac{5}{6} x - 10$

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

3 0

3 years ago

Why x^2=16 and x^2=-16 do not have the same solution

77julia77 [94]

Step-by-step explanation:

x^2 = 16

x = ±4

x^2 = -16

x = -

as a negative number cannot be squareroot

7 0

1 year ago

lana66690 [7]

Answer:

Choice 1

Step-by-step explanation:

Let‘s go through each answer and analyze a

each.

Choice 1

Parallel means to lines with the same slope, they never intersect, ever, they always remain next to each other and never touch. This is true for the picture

Choice 2

Perpendicular means that two lines intersect at a right angle, however upon looking at the picture you can see this is not a right angle, but an acute angle. So it is not perpendicular.

Choice 3

A Line Segment means a line with dots on either end, symbolizing the end of the line. This is not a line segment because there are arrows on the ends, indicating these lines go on forever. This is not a segment

Choice 4

We already determined this is neither a segment nor perpendicular so it cannot be this choice

This leaves us with Choice 1.

I hope this helps!

Please give thanks and brainliest!

4 0

2 years ago

How many ways can you arrange nine performers in a row on stage

erma4kov [3.2K]

Hey there !

No. of ways to arrange n objects is n!
[ When there's no conditions ]

Hence , number of ways we can arrange 9 performers is 9! = 362880 Ans.

Hope it helps!

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2 years ago

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Zina [86]

9514 1404 393

Answer:

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Step-by-step explanation:

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2 years ago