All categories

2 years ago

Find the distance between (1, 3) and (-2, -6) and put it in simplest radical form

Mathematics

2 answers:

julia-pushkina [17]2 years ago

5 0

Answer:

$D=\sqrt{90}\ or\ D=9.49$

Step-by-step explanation:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-2-1)^2+(-6-3)^2}\\\\D=\sqrt{(-2-1)^2+(-6-3)^2} \\\\D=\sqrt{(-3)^2+(-9)^2} \\\\D=\sqrt{9+81} \\\\D=\sqrt{90}\\\\D=9.49$

Hope this helps!

GarryVolchara [31]2 years ago

3 0

Answer:

$\tt 9.48$

Step-by-step explanation:

(1,3) and (-2,-6)

$\tt Distance= \sqrt{(-6-3)^2+(-2-1)^2}$

$\tt =\sqrt{9^2+3^2}$

$\tt =\sqrt{81+9} =\sqrt{90}$

$\tt Distance=\sqrt{90} =9.48$

You might be interested in

Don’t really know what linear functions are

kondaur [170]

Answer:

The rate of change of f(x) is greater than that of g(x)

They have the same y intercept of 14

Step-by-step explanation:

Given

$g(x) = -\frac{1}{2}x + 14$

Table for function f(x)

Required

Compare their rate of change and intercept

For g(x), we have:

$g(x) = -\frac{1}{2}x + 14$

The form of an equation is:

$y = mx + b$

Where

$m = slope$

$b =y\ intercept$

So:

$m = -\frac{1}{4}$

$b = 14$

For f(x): Start by calculating the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{17-16}{6-4}$

$m = \frac{1}{2}$

The intercept is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (-2,13)$

$(x_2,y_2) = (0,y)$ --- we want to solve for y

So:

$\frac{1}{2} = \frac{y - 13}{0 --2}$

$\frac{1}{2} = \frac{y - 13}{2}$

Multiply both sides by 2

$1 =y - 13$

Make y the subject

$y =1 + 13$

$y = 14$

So, we have:

$m = -\frac{1}{4}$ and $b = 14$ -- for g(x)

$m = \frac{1}{2}$ and $y = 14$ --- for f(x)

By comparison:

The rate of change (i.e. slope) of f(x) is greater than that of g(x) because $1/2 > -1/2$

They have the same y intercept of 14

3 0

2 years ago

Tareq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?

Juliette [100K]

What i would do since $22.10 for 2.6 find out how much 1 pound of salmon is

so divide $22.10 by 2.6

which would equal $8.50

$8.50 per pound of salmon

hope this helped :>

7 0

2 years ago

Read 2 more answers

The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 a

saul85 [17]

The answer is C. 12in

5 0

2 years ago

Janet claims that (0,6) and (0,-1) are 5 units apart. Is she correct? Construct an argument to justify your answer. (Please answ

andrey2020 [161]

Check the picture below.

7 0

2 years ago

a person who weighs 120 lb on Earth would weigh 45 1/5 pounds on Mars set up a proportion to determine how much a 90 pound perso

Lunna [17]

Weight on Mars for a 90lb person: 34.05lbs

Weight on Mars : Weight On Earth/91.8m/s^2 • 3.711m/s

Earths Force : 91.8m/s^2

Mars Gravitational Force : 3.711m/s

So an object or person on Mars would weigh 37.83% its weight on earth. Therefore, a person would be much lighter on mars. A person is about 62.17% heavier on earth than on Mars.

7 0

2 years ago