What is the perimeter of ^PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane?

Answers

Answer 1
Answer:

The perimeter of the given triangle in the coordinate plane is 36 units.

Given:

The triangle PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane.

To find:

The perimeter of the triangle.

Solution:

The distance formula to find the distance between two points (x_1,y_1) and

(x_2,y_2):

d=\sqr{(x_2-x_1)^2+(y_2-y_1)^2}

The distance between point  P(-2,9) and Q(7,-3)

PQ=√((7-(-2))^2+((-3)-9)^2)\n\nPQ=√((9)^2+(-12)^2)\n\nPQ=15 units

The distance between point Q(7,-3) and R(-2,-3)

QR=√(((-2)-7)^2+((-3)-(-3))^2)\n\nQR=√((-9)^2+(0)^2)\n\nQR=9units

The distance between point R(-2,-3) and  P(-2,9)

RP =√(((-2)-(-2))^2+(9-(-3))^2)\n\nRP =√((0)^2+(12)^2)\n\nRP =12units

The perimeter of the triangle will be given by"

P= PQ+QR+RP\n\n=15 units+9 units+12 units = 36 units

The perimeter of the given triangle in the coordinate plane is 36 units.

Learn more about the distance formula here:

brainly.com/question/12674171?referrer=searchResults

brainly.com/question/12662141?referrer=searchResults

Answer 2
Answer: Using the distance formula we can determine the perimeter of PQR.

Distance formula: d=√(x-x1)^2+(y-y1)^2
distance of PR: √(-2+2)^2+(9+3)^2= 12
distance of QR: √(7+2)^2+(-3+3)^2=9
distance of PQ: √(7+2)^2+(-3-9)^2= 15

Perimeter: 12+9+15=36

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Sue And Juanita Were Biking On The Track Around Their Town Park. Sue Started First. When She Had Biked 9 Laps, Juanita Had Biked 3 Laps. When Juanita Had completed 12 laps, Sue had completed 30 laps. did both rates remain steady

Answers

Answer:

No. Both rates did not remain steady.

Step-by-step explanation:

  • When Sue had biked 9 laps, Juanita had biked 3 laps. This means that Juanita's rate is 3 laps for every 9 laps Sue bikes.
  • When Juanita had completed 12 laps, Sue had completed 30 laps. This implies that Sue's rate is 30 laps for every 12 laps Juanita bikes.

In conclusion, the rates did not remain steady because Sue's rate was significantly faster than Juanita's.

No both rates did not remain steady

find the equation in slope-intercept form that descrives a line through (4,-2) with slope -3 A. y = -3x - 2 B. y = -3 x + 4 C. y = -3x + 10 D. y = -3x​

Answers

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

So far we know the slope and can plug that into the equation like so...

y = -3x + b

 

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(4, -2)

-2 = -3(4) + b

-2 = -12 + b

10 = b

y = -3x + 10

Hope this helped!

~Just a girl in love with Shawn Mendes

5x -3=2x+3
What is the answer

Answers

the answer is 2 see photo

Answer:

x=2

Step-by-step explanation:

isolate x

5x-2x=3+3

simplify

3x=6

divide each side by 3

x=2

Could somebody please answer these four questions with simple yet explanatory answers?

Answers

1) Surface Area = 2(lw + lh + wh)
2(4*5+4*9+5*9) =202in^2
Surface Area=202in^2
Lateral Area= Perimeter of base * height
5+5=10  <--width+width
4+4=8 <---length + length 
10+8=18  <--total perimeter
18 * 9=162in^2  <--multiplied the height +perimeter of base  
Lateral Area=162in^2

2) Same concept as the previous one
 Surface Area = 2(lw + lh + wh)
2(4*2+4*5+5*2) =76in^2
Surface Area= 76in^2

Lateral Area
Lateral Area= Perimeter of base * height
4+4=8
2+2=4
8+4=12
12 x 5=60
Lateral Area= 60in^2  
Pooja answered #1 and #2 correct, so I shall make my life easier by answering #3 and #4 :P

#3 tests the concept of surface area. The gift wrap will be covering only the surface of each side. Surface area is all of the outside. Volume is all of the stuff inside.

So the surface area of rectangular prism can be found by the formula:
SA = 2(LW + LH + WH)
SA = 2(9*7 + 7*4 + 9*4)
SA = 2(63 + 28 + 36)
SA = 2(127)
SA = 254 in
²

#4 also needs you to find the surface area. 
So the surface area of a triangular prism can be found by this formula:
SA = bh + (\sf s_1 + s_2 + s_3)h
SA = (6.3*2) + (6.3 + 2.5 + 5.2)3
SA = 12.6 + (14*3)
SA = 12.6 + 42
SA = 54.6 cm²

99 POINTS PLZ HELP2. Consider the function f(x) = –2 · 2x + 1.
(a) Complete the table of values.
x –2 –1 0 1 2
f(x)

(b) Use the points in the table to graph the function.
(c) Describe the end behavior of the function.
Answer:



3. Ronnie is building a tower out of blocks. There are 38 blocks in the bottom row. Each row above the bottom row has 3 fewer blocks than the row below it.
(a) Write an iterative rule to model the sequence formed by the number of blocks in each row.
(b) The top row has 5 blocks. Use the rule to determine how many rows are in the tower. Show your work.
Answer:

Answers

38-(3*11)=5

The 11 is how many rows there are. I think that's right, not sure

What operation does the phrase less than suggest

Answers

The Giant Vampire Squirell The King Jesus Cobra Shark
I think subtraction which means to take away