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olchik [2.2K]
2 years ago
10

Find the distance between the points: (-1, 5) and (3, -3). In your final answer, include the formula and calculations that you u

sed to find the distance.
Mathematics
1 answer:
Genrish500 [490]2 years ago
3 0

Answer:

4\sqrt{5} units

Step-by-step explanation:

The distance between any two points on the x y plane (a,b) and (c,d) has one of two formulas.  \sqrt{(a-c)^2+(b-d)^2} or \sqrt{(c-a)^2+(d-b)^2}  if you use c-a you have to also use d-b, and the other way around for a-c and b-d.  You can rearrange which order you add though.    So with (-1,5) and (3,3) here is the math

\sqrt{(3-(-1))^2+((-3)-5)^2} \\\sqrt{4^2+(-8)^2} \\\sqrt{16+64}\\\sqrt{80}

You could simplify this to 4\sqrt{5}

Let me know if there was anything you didn't understand.

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The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph wi
Liono4ka [1.6K]

Answer:

540

Step-by-step explanation:

3 0
2 years ago
Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13
andriy [413]
\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\

\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
4 0
3 years ago
This year Reuben watched 80 movies. He thought that 68 of them were very good. Of the movies he watched, what percentage did he
Leya [2.2K]

Answer:

He thought that 85% of them were very good.

7 0
2 years ago
Read 2 more answers
A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is
Pani-rosa [81]

Answer:

14

Step-by-step explanation:

First you do 325 - 13.50 , then you just divide 311.50 by 21.25, and because you cant have .6 of a friend its 14 :)

3 0
2 years ago
tom took a trip of 1,020 miles. he traveled by train at 55 miles an hour and the same number of hours by plane at 285mph how man
Kamila [148]
D = vt

Distance traveled by train
d = 55t
Distance traveled by plane
d = 285t
Total distance
d = 1020

So, you do:
distance traveled by plane + distance traveled by train =  total distance
(55t) + (285t) = 1020

Solve for t
t = 3 hours

t is the time traveled by each so 3 hrs traveled by train and 3 hrs traveled by plane

Total time  = 3 + 3 = 6 hours







8 0
3 years ago
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