All categories

3 years ago

What is the distance, rounded to the nearest tenth, between the points (2,-2) and (6, 3)? Enter the answer in the box.

Mathematics

2 answers:

Marina CMI [18]3 years ago

8 0

Answer:

d = 6.4

Step-by-step explanation:

We can use the distance formula

d =sqrt( ( y2-y1)^2 + ( x2-x1) ^2)

d =sqrt( (3 - -2)^2 + (6-2) ^2)

d =sqrt( (5)^2 + (4) ^2)

d =sqrt( 25 + 16)

d = sqrt( 41)

d =6.403124237

Rounded to the nearest tenth

d = 6.4

vovikov84 [41]3 years ago

6 0

Using the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-2)^2 + ( 3- -2)^2)

Distance = sqrt(4^2 + 5^2)

Distance = sqrt(16+ 25)

Distance = sqrt(41)

Distance = 6.4

You might be interested in

Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5

irakobra [83]

Answer:

x=y

Step-by-step explanation:

-let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

$\frac{x}{y}=\frac{5}{5}=\frac{1}{1}\\\\\\=>x:y$

-Hence, for each one tennis ball, there is a tennis racket.

#This is a direct linear relationship and is modeled as graphed in the attachment:

4 0

3 years ago

a paper company needs to ship paper to a large printing business the paper will be shipped in small boxes in large boxes the vol

stepan [7]

Answer:

the answer is 10 :)

Step-by-step explanation:

5 0

2 years ago

Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,

Nastasia [14]

Answer:

$a_{n+1}=0.2a_n$ for all n>0, $a_1=16$

Step-by-step explanation:

Let $\{a_n\}=\{16,3.2,0.64,0.128,\cdots \}$ be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that $\frac{a_{n+1}}{a_n}=r$ forr all n>0.

To find r, note that

$\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2$

Similarly

$\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2$

$\frac{0.128}{0.64}=\frac{1}{5}=0.2$

Thus $a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n$ for all n>0, and $a_1=16$

3 0

3 years ago

PLEASE HELP ME!!!!!!!

Sidana [21]

He has come from the hole in the roof because the text states that he did not come from a door, a window, or a chimney, and that is the only answer that was left.

4 0

3 years ago

Solve and state any extraneous solutions

Mice21 [21]

$\frac{3x}{x - 1} + 2 = \frac{3}{x - 1}$

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

$\frac{3x}{x - 1} + \frac{2x - 2}{ x - 1} = \frac{3}{x - 1}$

$\frac{3x + 2x - 2}{ x - 1} = \frac{3}{x - 1}$

$3x + 2x - 2 = 3$

$5x - 2 = 3$

$5x = 3 + 2$

$5x = 5$

$x = \frac{5}{5}$

$x = 1$

3 0

3 years ago