HELPP!! ASAP! show work plaese.

Mathematics

1 answer:

EleoNora [17]3 years ago

6 0

Answer:

The distance between to 2 point is 15 units.

Step-by-step explanation:

You have to apply distance formula using coordinates :

$distance = \sqrt{ {(x2 - x1)}^{2} + {y2 - y1)}^{2} }$

Let (x1,y1) be (-8,6),

Let (x2,y2) be (1,-6),

$distance = \sqrt{ {(1 + ( - 8))}^{2} + { (- 6 - 6)}^{2} }$

$distance = \sqrt{81 + 144}$

$distance = \sqrt{225}$

$distance = 15 \: units$

You might be interested in

If the quotient of 18 3/5 is increased by 10 whats the solution?

andrew-mc [135]

40 i belive but im not sure

6 0

3 years ago

xz_007 [3.2K]

Answer:

$Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}$

Step-by-step explanation:

${x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}$