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3 years ago

How to find the Distance between two pair of points

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Use the distance formula

D=square root (x2-x1) + (y2-y1)

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Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.

Sphinxa [80]

Answer:

$x= +2\sqrt{5} or -2\sqrt{5}$

Step-by-step explanation:

for the given equation,

$4 - x^{2} = -16$

using rules of equation and inverse operations as isolating x on one side of equation,

interchanging sides of equation we get,

$x^{2} =20$

$x= +\sqrt{20} or x= -\sqrt{20}$

$x= +2\sqrt{5} or x= -2\sqrt{5}$

4 0

4 years ago

Given g(x) = -x - 3, find g(1).<br> Answer:<br> Submit An:

Ray Of Light [21]

Answer:

-4

Step-by-step explanation:

g(x) = -x - 3

To find g(1), replace x with 1 in the expression and evaluate it.

g(1) = -1 - 3

g(1) = -4

6 0

3 years ago

Find a number in the closed interval [1/2,3/2] such that the sum of the number and its reciprocal is

sattari [20]

Let's assume that number as x

so,

the sum of the number and its reciprocal is

$S(x)=x+\frac{1}{x}$

Firstly, we will find derivative

$S'(x)=1-\frac{1}{x^2}$

now, we can set it to 0

and then we can solve for x

$S'(x)=1-\frac{1}{x^2}=0$

$x=-1,x=1$

Since, only x=1 lies on [1/2,3/2]

so, we will consider only x=1

now, we can plug end values and x=1 into S

At x=1/2:

we can plug x=1/2

$S(\frac{1}{2})=\frac{1}{2} +\frac{1}{\frac{1}{2}}$

$S(\frac{1}{2})=\frac{1}{2} +2$

$S(\frac{1}{2})=\frac{5}{2}$

At x=1:

we can plug x=1

$S(1)=1 +\frac{1}{1}$

$S(1)=1 +1$

$S(1)=2$

At x=3/2:

we can plug x=3/2

$S(\frac{3}{2})=\frac{3}{2} +\frac{1}{\frac{3}{2}}$

$S(\frac{3}{2})=\frac{3}{2} +\frac{2}{3}$

$S(\frac{3}{2})=\frac{13}{6}$

(a)

Smallest value:

The smallest value among them

$S(1)=2$

So, a number is 1..........Answer

(b)

Largest value:

The largest value among them

$S(\frac{1}{2})=\frac{5}{2}$

So, a number is $\frac{1}{2}$ ........Answer

6 0

4 years ago

Justify each step used to simplify the expression 3x+2y-2x+2=3x-2x+2y+2

Lynna [10]

$3x+2y-2x+2=3x-2x+2y+2\ \ \ \ \ | combine\ like\ terms\\\\
x+2y+2=x+2y+2\\\\
0=0\\\\
 There\ are\ infinitely\ many\ solutions.$

5 0

3 years ago

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? A square shaped traf

Allushta [10]

For a square, with a length of 8x-2, the height must be the same in order for this to be a "square". The area of a square is the height multiplied by the length, so (8x-2)^2 will be your answer. Simplified it will be 64x^2 - 16x + 4.

3 0

3 years ago

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