Mathematics, 08.11.2019 05:31 frankcaroccio0203

Find the distance between points p(8,2) and q(3,8) to the nearest tenth

Answers: 3

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Answer from: lily3934

Distance formula:
$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
Plug in the given coordinates:
$\sqrt{(3-8)^2 + (8-2)^2}$

Simplify:
$\sqrt{(-5)^2 + (6)^2}$
$\sqrt{25 + 36}$
$\sqrt{61}$

Since they are asking to round to the nearest tenth it is assumed that they would like a decimal answer.
Final 7.8

Answer from: eg112105

7.8 units would be the answer

Answer from: bobbye001

(11/2 , 5) sorry if im wrong im not too sure

Answer from: jazminpratt0311

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
P&({{ 8}}\quad ,&{{ 2}})\quad 
% (c,d)
Q&({{ 3}}\quad ,&{{ 8}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

Answer from: jasonweber8718

Answer from: AreYouMyNewDad

7.8

Step-by-step explanation:

distance formula works like this

(difference in xs)² = difference of 8 and 3 is 5² = 25

and

(difference in ys)² = difference of 2 and 8 is 6² = 36

add them = 61

square root of that = √61 = 7.8

Answer from: pkot3409

7.8

Step-by-step explanation:

Given two points P(8,2) and Q(3,8). To find the distance between the two point can be gotten by using the formula for calculating the distance between two points on a line. The formula for calculating the distance between two points is given as;

d =√(x2-x1)²+(y2-y1)²

Where P(x1,y1) = (8,2)

Q(x2,y2) = (3,8)

From the points given, x1=8, y1=2, x2= 3, y2=8

substituting the values into the given formula, we will have;

Q-P = √(3-8)²+(8-2)²

Q-P = √(-5)²+6²

Q-P = √25+36

Q-P = √61

Q-P = 7.81

Q-P = 7.8(to the nearest tenth)

Answer from: robtop

C) 4.88 hr; D) convenience; B) P(A and B); A) 72; B) mean = 27.5, range = 20; no function shown to answer the question; A) 6.58, 0.42; D) average class size, cost; D) 7.8

Step-by-step explanation:

#1) To find the mean, we add all of the numbers and divide by the number of data values:

(1.7+7.7+8.3+1.6+5.1)/5 = 24.4/5 = 1.88

#2) This is a convenience sample because it was easy for the analyst to do; she did not use random sampling or any sort of groups, and she did not choose every kth item.

#3) The probability of two events is P(A and B) by definition.

#4) To find the total number of choices, we multiply the number of flavors by the number of toppings:

6(12) = 72

#5) To find the mean, add all of the data values up and divide by the number of data values:

(26+19+23+39+31+34+23+25)/8 = 220/8 = 27.5

To find the range, subtract the highest and lowest values:

39-19 = 20

#6) There is no function given to answer the question.

#7) Using the quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\=\frac{--28\pm \sqrt{(-28)^2-4(4)(11)}}{2(4)}\\\\=\frac{28\pm \sqrt{784-176}}{8}\\\\=\frac{28\pm \sqrt{608}}{8}\\\\=\frac{28\pm 24.65766}{8}\\\\=\frac{28+24.65766}{8},\frac{28-24.65766}{8}\\\\=\frac{52.65766}{8},\frac{3.34234}{8}\\\\=6.58,0.42$

#8) The independent quantity is the one that causes the dependent to change. In this case, the average class size causes the cost of books to change; this means the average class size is independent and the cost of books is dependent.

#9) Using the distance formula,

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\=\sqrt{(8-2)^2+(3-8)^2}\\\\=\sqrt{6^2+(-5)^2}\\\\=\sqrt{36+25}=\sqrt{61}=7.8$

Answer from: amastriano6192

The answer is D your are welcome :)

Answer from: cia196785920

Alright, so #1 is C, 4.88.

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