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3 years ago

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

Mathematics

2 answers:

Cloud [144]3 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]3 years ago

3 0

Definition: The square root of a number is another number, which on multiplying with itself, will give the original number.

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 every positive number has two square roots , a principal square root and its opposite negative.

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The distance from the sun to the Andromeda galaxy is 1.2 x 10^19 miles. Light travels at a speed of 5.88 x 10^12 miles per year.

charle [14.2K]

Answer:

$2.04\times 10^{6}\ years$

Step-by-step explanation:

Given:

Distance from Sun to Andromeda galaxy (D) = $1.2\times10^{19}\ miles$

Speed of light (s) = $5.88\times 10^{12}\ miles\ per\ year$

Now, we need to find the time required for light to reach the galaxy from the Sun.

Let the time be 't' years.

Now, we know that, distance traveled by the light will be equal to the product of its speed and time taken by it. Therefore, framing in equation form, we get:

$Distance=Speed\times Time\\\\D=s\times t$

Now, plug in the given values and solve for time 't', This gives,

$1.2\times 10^{19}=5.88\times 10^{12}\times t\\\\t=\frac{1.2\times 10^{19}}{5.88\times 10^{12}}\ years\\\\t=2.04\times 10^{6}\ years$

Therefore, light will reach the Andromeda galaxy in $2.04\times 10^{6}\ years$ .

4 0

2 years ago

Mark Shaughnessy purchased a $4,250 bond at 91.50 that pays 7% interest. What was the cost of the bond?

sashaice [31]

Just do 91.50 times 0.07 and then add what you get to the 91.50.

3 0

2 years ago

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?

xxTIMURxx [149]

Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

and the graph is the same as the graph of f(x)=6x2 + 12x -3

Step-by-step explanation:

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3 years ago

A quadrilateral with vertices (-3,2),(-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5.

Ksenya-84 [330]

Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)

dilated by a scale factor of 0.50

1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)

B.)
-1.5 -2.5 2 3.5
 1 -2 3 0

6 0

3 years ago

A stretched spring has a length of 12 inches when a weight of 2 lbs is attached to the spring. The same spring has a length of 1

Advocard [28]

The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.

8 0

2 years ago