Calculate the distance between these points in the coordinate plane.

Mathematics

1 answer:

Naily [24]2 years ago

4 0

Answer:

The distance between the two points = 7.81 units

Step-by-step explanation:

We are given two points and we are supposed to find the distance between the two points .

The general formula for distance between two points is

distance = $\sqrt{(x_{1} -x_{2})^{2}+(y_{1}- y_{2})^{2}}$

Here the points are (-2,4) and (4,-1).

Substituting these points in the above equation,

distance = $\sqrt{( -2 - 4)^{2}+(4 - -1)^{2}}$

= $\sqrt{61}$

= 7.81 units

The distance between the two points = 7.81 units

You might be interested in

Can someone explain division of polynomials to me please.

kykrilka [37]

Answer: Division of Polynomials is just like the long division that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

First: set up the division putting the dividend inside the divisor outside and to the left
Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
Fifth: Do the subtraction
Sixth To subtract change all the signs in the second line, then add down.
Next: Carry down that last term from the dividend
From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0

2 years ago

The division algorithm states that if p(x) and d(x) are polynomial functions with d left parenthesis x right parenthesis not e

katrin [286]

Answer:

In a division algorithm, $p(x)$ refers to the dividend polynomial, $d(x)$ refers to the divisor polynomial, $q(x)$ refers to the quotient polynomial and $r(x)$ refers to the residula polynomial.

The division algorithm is defined as

$p(x)=d(x) \times q(x) +r(x)$

Where $p(x)\geq d(x)$ and $d(x) \neq 0$ , other wise the algorithm won't be defined.

So, the complete paragraph is: "if $p(x)$ and $d(x)$ are polynomial functions with $d(x)\neq 0$ and the degree of $d(x)$ is less than or equal to the degree of $p(x)$ , then there exist unique polynomial functions $q(x)$ and $r(x)$ such that $p(x)=d(x) \times q(x) +r(x)$ .