Answer:
√85
Step-by-step explanation:
The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...
... d = √((x2-x1)^2 +(y2-y1)^2)
For your points (-1, -4) and (-8, 2), the distance is ...
... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)
... d = √85
The distance between the two points is √85.
I got about a 100 numbers on a math website. Good luck.
Thanks! : )
Answer:
Step-by-step explanation:


Hence lake will never be free of pesticide.
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm