The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

<span> $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}$ </span></span>

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

$|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5$

$|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6$

$|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4$

$|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5$

$|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4$

Answer: B and D

3 0

3 years ago

Help please! i don't know what to do

Serhud [2]

I hope this helps you

9/9+18=x/x+10

9/27=x/x+10

1/3=x/x+10

3x=x+10

x=5

8 0

3 years ago

Is 2 And 22 linear or nonlinear?

grigory [225]

Linear would be the answer

8 0

2 years ago

Read 2 more answers

What properties would you use to solve x/3=12 (multiple choice)

butalik [34]

C

explanation : the equation is division and since you don’t know what the variable x is, you multiply 3 and 12 to find x

5 0

2 years ago