Question

PLEASE SOMEONE HELP ITS AN SOS!!!
WILL MEDAL AND FAN


Find the distance between these points.

C(0, 4), T(-6, -3)

√(37)
√(85)
√(109)

Answer 1

A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ .

5
√(13)
√(97)

Answer 2

Find the distance between these points.

W(-6, -8), X(6, 8)

20
10
√8

Answer 3

Find the other endpoint of a line segment with one endpoint at (-3, 5) and whose midpoint is (5, 2).

(7, 2)
(1, 7/2)
(13, -1)

Answer 4

The distance is figured using the pythagorean theorem

Answer 5

ive never heard of that

Answer 6

(0,4) and (-6,-3)

Answer 7

okay then what

Answer 8

you can form a right triangle to get the components of a right triangle

Answer 9

okay

Answer 10

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({\color{red}{ 0}}\quad ,&{\color{blue}{ 4}})\quad
% (c,d)
T&({\color{red}{ -6}}\quad ,&{\color{blue}{ -3}})
\end{array}\qquad
% distance value
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

Answer 11

ohhh f.o.i.l right?

Answer 12

Right, that is just memorizing the formula

Answer 13

ya

Answer 14

is that how i do it using foil?

Answer 15

If you know how to get to it, more likely to remember even if you forget the formulas

Answer 16

this is way to complicated

Answer 17

That forms a right triangle, with the property
d^2 = (side1)^2 + (side2)^2

Answer 18

its going way over my head

Answer 19

solving for Distance d, you get what @jdoe0001 typed above

Answer 20

ya

Answer 21

but still really confused

Answer 22

\[distance = \sqrt{(\Delta x)^2 + (\Delta y)^2}\]

Distance is square root of the sum of the difference in x coordinates and the difference in y coordinates of the two points

Answer 23

um i dont get it still but thank you sooo much for your trouble

Answer 24

(0,4) and (-6 , -3)

\[distance = \sqrt{(-6 - 0)^2 + (-3 - 4)^2} = \sqrt{36 + 49} = \sqrt{85}\]

Answer 25

oh so it was how i thought. I dont know why but for some reason its harder then it should be

Answer 26

so all i do is foil pretty much right?

Answer 27

i was just explaining what the distance formula comes from. ha sorry

Answer 28

no, no Foil. You just put the numbers in and calculate it

Answer 29

oh

Answer 30

well guess i dont get it

Answer 31

I guess all you have to take note of is, if you given 2 points

(x , y) and (x1 , y1)

The distance between them is calculated by..
\[distance = \sqrt{(x - x1)^2+(y-y1)^2}\]

Answer 32

\[distance = \sqrt{(-6 - 0)^2 + (-3 - 4)^2} = \sqrt{(-6)^2+(-7)^2 } = \sqrt{85}\]

Answer 33

oh isee what u did there

Answer 34

coo, try the next one