Question

Find the perimeter of the triangle whose vertices are (−1,−6), (14,2), and (8,−6). Write the exact answer. Do not round.

Answer 1

i'm thinking is the answer 36 or 42

Answer 2

@vocaloid

Answer 3

why two answers? what did you get when you used the distance formula?

Answer 4

i was confused by the formula

i wasn't sure

Answer 5

SqRt(-1–14)^2+ (-6–2)^2 = 17 units: ….SqRt (14–8)^2+ (2+6)^2 = 10 units and SqRt (-1–8)^2+ (-6*6)^2 = 9 units (17+10+9 = 36 units)

Answer 6

Using distance formula: PQ=sqrt((x2-x1)^2(y2-y1)^2),

AB= 17

BC= 10

AC= 15

Perimeter= 17+10+15

= 42

Answer 7

numbers in the first post are accurate, the sides are 10, 17, and 9 making the perimeter 36

i don't know where they're getting 15 in the second post

Answer 8

okay , i wanted to see which one of them were right because i think i put it together in the formula wrong for the 2nd one.

Answer 9

For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.

4x−2y=12
Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.

x ________ 0 2 __________

y 0 ______ _______ 5

Answer 10

in each column, take what's there, and plug it into the equation to figure out what the missing variable is

so for the first column, y = 0, so

4x−2y=12 ----> 4x - 2(0) = 12 ----> 4x = 12, x = 3
so you'd plug in x = 3 into the first column

repeat with the other values

Answer 11

x 3 0 2 11/2

y 0 3 4 5

Answer 12

is this right

Answer 13

review equations when you get a chance

4x−2y=12
for x = 0 ---> 4(0) - 2y = 12
dividing both sides by -2 ----> y = -6

for x = 2 ----> 4(2)−2(y)=12 ---> 8 - 2y = 12 ---> -2y = 8 ---> y = -4

last column is correct

Answer 14

x 3 0 2 11/2

y 0 -6 -4 5

Answer 15

is this right now

Answer 16

I made an arithmetic mistake: 8 - 2y = 12 ---> -2y = 4 ---> y = -2 in the third column

Answer 17

Oh okay

x 3 0 2 11/2

y 0 -6 -2 5

Answer 18

good

Answer 19

Find the perimeter of the triangle whose vertices are (−1,−8), (4,−8), and (4,4). Write the exact answer. Do not round.

Answer 20

Sketch the triangle, use the distance formula on all three sides

Answer 21

p = 36.791

Answer 22

check your arithmetic again, it should be a whole number solution

to make this simpler: (4,−8), and (4,4) are on the same vertical line. -8 and 4 are 12 units apart, so the distance between (4,−8), and (4,4) is 12, so this side is 12 units long.

similar logic with (−1,−6) and (8,−6), they're on the same horizontal line. the distance between -1 and 8 is 9 units, so this side is 9 units long.

only side left is between (−1,−6), (14,2) which you'll need the distance formula for.

Answer 23

(−1,−6), (14,2) ----> (14, -1), (6, 2)

Answer 24

when you're using the distance formula, you get a distance, so your answer should only be one number

your points are: (−1,−6), (14,2)

let (x1,y1) = (-1,-6)
and (x2,y2) be (14,2)

plug the numbers into the distance formula

Answer 25

(-6, -1) , (2, 14)

Answer 26

like I mentioned, when you use the distance formula, your answer should just be one number.

Answer 27

please review the distance formula:

\[d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\]

let (x1,y1) = (-1,-6)
and (x2,y2) be (14,2)

plugging in:

\[d = \sqrt{(14-(-1))^{2}+(2-(-6))^{2}}\]simplify

Answer 28

2√65

Answer 29

ugh sorry I think I used the wrong points

(−1,−8), (4,−8), and (4,4)

Answer 30

try the distance formula again with (-1,-8) and (4,4)

Answer 31

oh it's okay

Answer 32

it seemed out of order in the beginning

Answer 33

(-1,-8) and (4,4)

√4 - (-8))^2 + (4 - (-1))^2

Answer 34

good, that simplifies to 13

looking at the other points:

(4,−8), and (4,4) ---> these are both on the same vertical line because they have the same x-coordinate. so just take the difference of the y-coordinates: 4 - (-8) = 12

(−1,−8), (4,−8) ---> these are on the same horizontal line, take the difference of the x-coordinates ---> 4 - (-1) = 5

so your sides are: 5, 12, 13 ---> sum = perimeter = 30

Answer 35

thank you