Question

The distance formula can be used to prove a quadrilateral has?
a right angle

congruent angles

parallel sides

congruent sides

Answer 1

hint: The distance formula can be used to find the lengths of the sides.

Answer 2

Since finding the distance from point X to point Y is the same as finding the length of segment XY

Answer 3

so basicly its used for congruent sides?

Answer 4

so its congruent sides?

Answer 5

correct, if you find that all the sides are the same length, then they are congruent

Answer 6

if all 4 sides are congruent, then you have a rhombus

Answer 7

thank you very much

Answer 8

if you have one pair of congruent sides, and then another pair of congruent sides (not congruent to the first two), then you have a parallelogram

Answer 9

you're welcome

Answer 10

Line AB contains points A (−1, 3) and B (5, 3). Line AB has a slope that is

zero

undefined

positive

negative
i have a feeling this answer is zero lol

Answer 11

what gives you this feeling?

Answer 12

because im looking a the y's and there the same cause i think they lie on the same line

Answer 13

and that line is horizontal

all horizontal lines have a slope of 0

good

Answer 14

you can also use the slope formula

\[\Large m = \frac{y_2-y_1}{x_2-x_1}\]

and you'll also find it's 0

Answer 15

yes exactly thats how i got it also

Answer 16

The equation of line GH is y = 4x − 3. Write an equation of a line perpendicular to line GH in slope-intercept form that contains point (2, 3).

y = 4x − 3

y = −4x − 5

11/4 x − 3

y =-1/4 x + 7/2

Answer 17

can you help me on this

Answer 18

How far did you get?

Answer 19

What's the slope of the given line?

Answer 20

y=4x-3?

Answer 21

that's the given equation of the given line

Answer 22

what's the slope of that line?

Answer 23

idk help me please

Answer 24

hint: y = mx+b has a slope of m

Answer 25

So something like y = 7x - 10 has a slope of 7 (since m = 7)

Answer 26

then it would be 4? that would be slope

Answer 27

good, which is the same as 4/1

Now flip the fraction to get 1/4

Then flip the sign to get -1/4

So that's the perpendicular slope

Answer 28

Given Slope: 4

Perpendicular Slope: -1/4

Answer 29

there we go thats what i missed than you

Answer 30

So ANY perpendicular line to y = 4x - 3 will be of the form y = -1/4x + b where b is some constant yet to be determined

Answer 31

so then the answer is -1/4x + 7/2?

Answer 32

do you know how to determine the value of b?

Answer 33

no :(

Answer 34

y = mx + b ... start with the general linear equation

y = -1/4x + b ... plug in the perpendicular slope

3 = -1/4(2) + b ... plug in x = 2, y = 3 (from (2, 3))

Now solve for b

Answer 35

ok so you multiply -1/4 * 2 ?

Answer 36

is D the answer?

Answer 37

2 is the same as 2/1

Answer 38

(-1/4)*2 = (-1/4)*(2/1)

Answer 39

So what does (-1/4)*(2/1) turn into?

Answer 40

i got 0.5

Answer 41

so now what?

Answer 42

which is what as a fraction?

Answer 43

what do you mean? lol

Answer 44

0.5 is equal to what fraction

Answer 45

for example, 0.2 = 1/5

Answer 46

so, 0.5 = ???

Answer 47

ooh because i got that answer when i multiplied -1/4 and 2/1

Answer 48

I know, but I want 0.5 in fraction form

Answer 49

hint: 0.5 = five tenths = 5/10 = ???

Answer 50

2?

Answer 51

not just 2

Answer 52

10/5 = 2

but 5/10 = 1/2

Answer 53

so 0.5 = 1/2

Answer 54

that means

3 = -1/4(2) + b

becomes

3 = -1/2 + b

Answer 55

ok im getting it now so what the final answer? cause i just got confused lol

Answer 56

well add 1/2 to both sides to isolate b

Answer 57

What do you get when you do that?

Answer 58

i think you get 5 rite/

Answer 59

*?

Answer 60

3 + 1/2 is not 5

Answer 61

think of 3 as 3/1

Then multiply top and bottom by 2 to get 6/2

Answer 62

3 + 1/2

3/1 + 1/2

6/2 + 1/2

???

Answer 63

7/2?

Answer 64

yep

Answer 65

m = -1/4
b = 7/2

so, the final answer is y = -1/4x + 7/2

Answer 66

thank you