Given points (-5,-1) and (5,9):
Let (x1,y1) = (-5,-1)
(x2,y2) = (5,9)
Use the following distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(5 — (-5))^2 + (9 — (-1))^2]
d = √[(5 + 5)^2 + (9 + 1)^2]
d = √[(10)^2 + (10)^2]
Add similar elements:
d = √[(10)^2 • 2]
The squared root of 10^2 is 10, so it goes outside the square root:
d = 10 √2
Therefore, the correct answer is Option 3:
d = 10 √2
Hope this helps :)
5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)
-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n
the number is -42
the number is 18
Answer:
A=
Step-by-step explanation:
The area of a square can be found by multipling two of the side lengths. And since all the sides of a sqaures are the same we just multiply (4x-5)(4x-5)=A or
=A.
The greatest possible error (GPE) of 500 inches cubed is 0.5 inches, it's not the percentage yet, I hope this helps.
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is

where, m is slope.



Subtracting 3 from both sides, we get


So, the equation of line is
.
Putting x=0, we get



It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.