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nalin [4]
4 years ago
14

Every positive number has two square roots , a principal square root and its _____?

Mathematics
2 answers:
Cloud [144]4 years ago
8 0

Answer:

Negative

Step-by-step explanation:

Since multiplication of two negative numbers is always positive, we get

x *x =x^2 and -x*-x =x^2

This gives us an idea about square root

A positive number can be expressed

as a*a and -a*-a

Thus there will be two square roots one positive which is called the principal square root

The other number will be the same in value but with a negative sign.

lukranit [14]4 years ago
3 0
Definition: <span>The square root of a number is another number, which on multiplying with itself, will give the original number.
</span>
Every positive number has two square roots. One square root is positive, while the other is exactly same, but negative. The positive square root of a number is called its principle square root. For example, 10 and -10 are the two square roots of 100, but 10 is called the principle square root. 

Hence e<span>very positive number has two square roots , a principal square root and its opposite negative.</span>
<span />


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An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov
babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this.  This will give us the two times that the object is at exactly 500 meters.  The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using our values for a, b and c,

x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds.  This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0
3 years ago
3x-2y&lt;10 <br> in a graph<br> graphing linear equalities
faltersainse [42]

Answer:

I hope it will help you!

Step-by-step explanation:

5 0
3 years ago
If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
lions [1.4K]

Answer:

-1280

Step-by-step explanation:

There are 2 ways you could do this. You could just do the question until you come to the end of f(4). That is likely the simplest way to do it.

f(1) = 160

f(2) = - 2 * f(1)

f(2) = -2*160

f(2) = -320

f(3) = -2 * f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = - 2 * f(3)

f(4) = - 2 * 640

f(4) = - 1280

I don't know that you could do this explicitly with any real confidence.

5 0
3 years ago
Read 2 more answers
(0,4)<br> (3,-2)<br><br> The slope is m<br> and the y-intercept is b =
Rudiy27

Answer:

m = -2

y-intercept = 4

Step-by-step explanation:

m = y2-y1/x2-x1

so

m = -2-4/3-0

=-2

y=mx+b

Substitute the coordinates into the equation to find b

4=-2(0)+b

4=b

so y intercept is 4

y=-2x+4

5 0
3 years ago
Us the figure to solve ill mark brainliest
Mashutka [201]

Answer:

QN = 43

Step-by-step explanation:

3x-5 = 2x+8+3

3x-5 = 2x+11

x-5 = 11

x = 16

MP = 3x-5

MP = 3(16)-5

MP = 48-5

MP = 43

MP and QN are ≅ so QN = 43

7 0
3 years ago
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