Distance between (-1,2) (7,8)

Answers

Answer 1

Answer:
The distance between any two points is

   square root of ( [difference in the 'y's]² + [difference in the 'x's]² )

Difference in the 'y's = 8 - 2 = 6
Difference in the 'x's = 7 - (-1) = 8

Distance between them =

   square root of ( 6² + 8² ) =

   square root of ( 36 + 64 ) =

   square root of ( 100 ) = 10 .

Answer 2

Answer:

Answer: 10

Step-by-step explanation: In this problem, we're asked to find the distance between the points (-1,2) and (7,8) so we use the distance formula which states that the distance between two points is equal to

$d =\sqrt{(x^(2) - x^(1))^(2) + (y^(2) - y^(1))^(2) }$ .

Our first point, (-1,2) represents ( $^(x) 1$ , $^(y)1$ ) and our second point,

(7,8) represents ( $^(x)2$ , $^(y)2$ ).

So, plugging the given information into the formula, we have $\sqrt{7 - (-1))^(2) + (8 - 2)^(2)}$ .

Next, we simplify inside the parentheses to get $\sqrt{(8)^(2) + (6)^(2)}$ .

Next, 8² is 64 and 6² is 36 so we have $√(64 + 36)$ or $√(100)$ which is 10.

So the distance between the points (-1,2) and (7,8) is 10.

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Answers

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Answers

Answer: 6b+7=331

......

Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.the quantity 3 times x to the third power plus 5 times x plus 2 all over x
3x3 + 5x + 2
3x2 + 5x2 + 2x
3x5 + 5x3 + 2x2

Answers

Answer:

(A) $3x^3+5x+2$

Step-by-step explanation:

To Simplify: The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

$The quantity 3 times x to the 4th power=3x^4$ ,

$5 times x to the 2nd power=5x^2$ and

$2 times x =2x$

Thus, according to the statement, the expression can be written as:

$(3x^4+5x^2+2x)/(x)$

⇒ $3x^3+5x+2$

which is the required simplified expression.

Thus,option A is correct.

Answer:

A: 3^3 + 5x + 2/x

Step-by-step explanation:

State a true conclusion.
1) If you accept the hypothesis, then you accept the
conclusion.

2) You accept the conclusion.

Conclusion: ?

Answers

Conclusion: you have accepted the hypothesis

this is because if you accept the hypothesis, then you also accept the conclusion so in order to accept the conclusion you must first accept the hypothesis

Answer:

Conclusion: you have accepted the hypothesis

this is because if you accept the hypothesis, then you also accept the conclusion so in order to accept the conclusion you must first accept the hypothesis

Step-by-step explanation:

If ,f(x)=x^3-x what is the average rate of change of f(x) over the interval [1, 5]?a. 29.5
b. 30
c. 43
d. 120