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3 years ago

What is the square root of four

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

Answer:

It is +2 or since (+2)*(+2 ) gives. If you think that it would be (-2) also then you are wrong because root of a positive rational number is always positive number.

Step-by-step explanation:

Let the square root of four be ‘k’.

Then we have

(4)^1/2=k

(Squaring both sides)

4=(k)^2

=>(k)^2–4=0

=>(k)^2-(2)^2=0

=>[k+2][k-2]=0 {since (a)^2-(b)^2=(a+b)(a-b)}

if product of two numbers is 0 then either of one must be zero.

If k+2=0 then k=-2

If k-2=0 then k=2

From here we got two answers but -2 should be omitted because when we square an equation we add “root extra”which means that when we square an equation one root is added.

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure

dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

$y=-0.01x^2+0.5x+3$

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

$8=-0.01x^2+0.5x+3$

$8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100$

$800=-x^2+50x+300$

$-x^2+50x-500=0$

$x^2-50x+500=0$

we can use quadratic formula

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

$x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}$

$x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)$

$x=13.82,x=36.2$

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

$y=-0.01(30)^2+0.5(30)+3$

$y=9ft$

we know that

height of net is 8 ft

so, the ball will go over the net

5 0

3 years ago

Multiply (-6 + i)(-2 + 9i).

malfutka [58]

Answer:

Step-by-step explanation:

go with that and you may win at this multiply question

4 0

2 years ago

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Got half not sure of the rest through

bezimeni [28]

Answer:

-1/12

Step-by-step explanation:

make the denominators congruent

8/12 and 9/12

then subtract

-1/12

6 0

2 years ago

Francine applies the commutative property to the product. (−8/9)⋅(−13)⋅(18) Which expression illustrates the commutative propert

oksian1 [2.3K]

The commutative property implies that, the order of multiplication is not important.

$(-\frac 89) \cdot (18) \cdot (-13)$ is true

Commutative property of multiplication states that:

If $a \times b = b \times a$

The expression is given as:

$(-\frac 89)\cdot (-13) \cdot (18)$

To get the commutative expression, we simply change the position of each factor in the expression.

So, some possible equivalent expressions are:

$(18) \cdot (-13) \cdot (-\frac 89)$

$(18)\cdot (-\frac 89) \cdot (-13)$

$(-13) \cdot (18) \cdot (-\frac 89)$

There are several other equivalent expressions.

From the list of options;

$(-\frac 89) \cdot (18) \cdot (-13)$ is true

Read more about commutative property at:

brainly.com/question/7037119

4 0

2 years ago

Read 2 more answers

Write the equation of the line parallel to the given line that passes through given point slope-intercept form.

maria [59]

There is no equation, nor ordered pair, so it is impossible to answer this question. I apologise.

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3 years ago