The perimeter of each polygon created by the coordinates is 15.2 units
How to find the perimeter of each polygon created by the coordinates?The coordinates are given as:
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)
Calculate the distance between each point using
d = √(x2 - x1)^2+ (y2 - y1)^2
So, we have:
dAB = √(-2 - 3)^2+ (3 - 1)^2 = 5.4
dBC = √(3 + 2)^2+ (1 + 1)^2 = 5.4
dCD = √(-2 + 3)^2+ (-1 - 1)^2 = 2.2
dDA = √(-3 + 2)^2+ (1 - 3)^2 = 2.2
The perimeter is calculated as:
P = 5.4 + 5.4 + 2.2 + 2.2
Evaluate
P = 15.2
Hence, the perimeter of each polygon created by the coordinates is 15.2 units
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Example 2 - A rectangle, whose perimeter is two hundred eight feet, has a width that is six feet
shorter than its length. What is the length and width of the rectangle?
Answer:
L=55 ft, W=49 ft
Step-by-step explanation:
W=L-6
perimeter= 2L+2W
208=2(L-6)+2L
L=55
W=55-6
=49
Determine whether the dilation from Figure ABC to Figure A'B'C' is a reduction or enlargement Then find its scale factor.
Answer:
This dilation from Figure ABC to Figure A'B'C' is a reduction, with a scale factor of 1/3.
Step-by-step explanation:
The points for Figure ABC are
A =(3,3)
B =(6,3)
C =(6,-3)
The points of Figure A'B'C' are
A' =(1,1)
B' =(2,1)
C' =(2,-1)
To get from (3,3) to (1,1) we have to multiply by 1/3, (6,3) to (2,1) multiply by 1/3, and so on.
find the indicated length
Answer:
ion know
Step-by-step explanation:
Simplify:(5x)(3x)
Please help
5x3=15
15x
hope it helps!
Everything is in the photo. Because I cannot type out all of that
Answer:
A) 3<x<13
Step-by-step explanation:
It would be A) 3<x<13. It can’t be D because if it were equal to 3 or 13, it would be a line, not a triangle. X must be greater than 3 and less than 13.
Which equation represents a line that passes through (2, -1) and has a slope of 3?
Which is the distance between the points (-6, 2) and (8, 10)?
Answer:to find the distance between two points (x1,y1) and (x2,y2), all that you need ... What is the distance between the the points (0,0) and (6,8) plotted on the graph.
Step-by-step explanation:
The Distance Formula is a useful tool in finding the distance between two points which can be arbitrarily represented as points \left( {{x_1},{y_1}} \right)(x
1
,y
1
) and \left( {{x_2},{y_2}} \right)(x
2
,y
2
).
The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2}a
2
+b
2
=c
2
where cc is the longest side of a right triangle (also known as the hypotenuse) and aa and bb are the other shorter sides (known as the legs of a right triangle).
Please solve these problems. 2(2x-1)=3(x-6) and 4(5-7b)-4=-3(1+3b) I will pick Brainliest, and award 15 points. (They are separate problems tho)
Answer:
see explanation
Step-by-step explanation:
Given
2(2x - 1) = 3(x - 6) ← distribute parenthesis on both sides
4x - 2 = 3x - 18 ( subtract 3x from both sides )
x - 2 = - 18 ( add 2 to both sides )
x = - 16
-------------------------------------------------------------------
Given
4(5 - 7b)- 4 = - 3(1 + 3b) ← distribute parenthesis on both sides )
20 - 28b - 4 = - 3 - 9b , that is
16 - 28b = - 3 - 9b ( add 9b to both sides )
16 - 19b = - 3 ( subtract 16 from both sides )
- 19b = - 19 ( divide both sides by - 19 )
b = 1
Answer:
[tex]\sf 1) \ \ \ \ \huge\boxed{\sf x = - 16}[/tex]
[tex]\sf 2) \ \ \ \ \huge\boxed{\sf b = 1}[/tex]
Step-by-step explanation:
[tex]\sf 1) \ 2(2x-1) = 3(x-6)\\\\Resolving \ Parenthesis\\\\4x - 2 = 3x -18\\\\Combining \ like \ terms\\\\4x-3x = -18+2\\\\x = -16[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\sf 2) \ 4(5-7b) - 4 = -3(1+3b)\\\\Resolving\ Parenthesis\\\\20 - 28b-4 = -3-9b\\\\16 - 28b = -3-9b\\\\Combining \ like \ terms\\\\16+3 = -9b + 28b\\\\19 = 19b\\\\Dividing \ both \ sides \ by \ 19\\\\1 = b \\\\OR\\\\b = 1[/tex]
[tex]\rule[225]{225}{2}[/tex]
Erite 2 • 2•2 •2• 2 • 3•3•3• 3 in exponential form?
Answer:
2^5 * 3^4
a
a
a
a
a
a
a
a
a
aa
easy 2 to the power of 6 multiplied by 3 to the power of 4
The box plots show the target heart rates of men 20-40 years olf and men 50-70 which statement is best supported by the information
What is 20-12x=8-10x
Answer: x= 6
Step-by-step explanation:
20 -12x = 8 - 10x Add 12x to both sides
+12 +12
20 = 8 + 2x subtract 8 from both sides
-8 -8
12 = 2x Divide both sides by 2
x = 6
Answer:
x=6
Step-by-step explanation:
20-12x=8-10x
Add 12x to each side
20-12x+12x=8-10x+12x
20 = 8 +2x
Subtract 8 from each side
20-8 = 8+2x-8
12 = 2x
Divide by 2
12/2 = 2x/2
6 =x
Solve the equation.
-W -2 =42
Answer:
w= -44
Step-by-step explanation:
-p(51+z)=dz+84
how do i solve for z
Answer:
Z=53p/d-84/d
Step-by-step explanation:
hope it help's
If the following angle pairs are supplementary then what is the measure of the missing angle?
Answer:
c
Step-by-step explanation:
How to remember which is which? Well, alphabetically they are:
Complementary add to 90°
Supplementary add to 180°
You can also think:
"C" of Complementary is for "Corner" right angle(a Right Angle), and
"S" of Supplementary is for "Straight" (180° is a straight line)
Or you can think:
when you are right you get a compliment (sounds like complement)
"supplement" (like a vitamin supplement) is something extra, so is bigger
What is the mid point of (0,-4) and (2,-1)
Answer:
[tex](1,\frac{-5}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find the midpoint:
[tex](\frac{0+2}{2},\frac{-4-1}{2} )[/tex]
[tex](\frac{2}{2},\frac{-5}{2} )[/tex]
[tex](1,\frac{-5}{2} )[/tex]
5/6-1/6=4/6=? Would appreciate if helped!
Answer:
2/3
Step-by-step explanation:
You can divide the top and bottom both by 2 which ends up being 2/3
Hope it helps!
Comment if you have any questions!
Answer:
[tex] \frac{2}{3} [/tex]
or
[tex].666[/tex]
Step-by-step explanation:
the second one is just .6 repeated
How is 3/12 and 0.25 alike and different
Answer:
Step-by-step explanation:
They equal the same as a deciaml or a fraction. They are differnet because one is a fraction and one is a decimal.
Step-by-step explanation:
0.25=25/100=1/4
3/12=1/4
What is the area of this figure?
5 ft
6.ft
3 ft
15 ft
9 ft
2 ft
square feet
Answer:
48 square feet
Step-by-step explanation:
Hope this helps!
Se distribuyen 400 bolsas en tres urnas sabiendo que la primera tiene 80 menos que la segunda y esta tiene 60 menos que la tercera, averigua cuántas bolsas tiene cada una.
Answer:
Primeras urnas = 60 bolsas
Segundas urnas = 140 bolsas
Terceras urnas = 200 bolsas
Step-by-step explanation:
Deje que las urnas se representen de la siguiente manera
Primeras urnas = a
Segundas urnas = b
Terceras urnas = c
Se nos dice en la pregunta
400 bolsas se distribuyen en tres urnas
Por lo tanto,
a + b + c = 400 bolsas ......... Ecuación 1
Por la pregunta sabemos que
1) El primero tiene 80 menos que el segundo
a = b - 80
2) Y este segundo tiene 60 menos que el tercero
b = c - 60
Por tanto, c = b + 60
Por lo tanto, sustituimos b - 80 por ayb + 60 por c en la Ecuación 1
a + b + c = 400 bolsas ......... Ecuación 1
b - 80 + b + b + 60 = 400 bolsas
Recopilar términos similares
b + b + b - 80 + 60 = 400 bolsas
3b = 400 + 80 - 60
3b = 420
b = 420/3
b = 140 bolsas
Por lo tanto, el número de bolsas en la segunda urna = 140 bolsas
Dado que a = b - 80
a = 140 bolsas - 80
a = 60 bolsas
Por lo tanto, el número de bolsas en la primera urna = 60 bolsas
Dado que c = b + 60
b = 140 bolsas
c = 140 + 60
c = 200 bolsas.
El número de bolsas en las terceras urnas = 200 bolsas.
Determine the mean of the following set of numbers:
40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Answer:
the mean is 62.8
Step-by-step explanation:
40 + 61 + 95 + 79 + 9 + 50 + 80 + 63 + 109 + 42 = 628
628 / 10 = 62.8
You can use the interactive graph below to find the solution. \begin{cases} y=-5x+6 \\\\ y=3x-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=−5x+6 y=3x−2
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
What interactive graph is that?
__
My own graph is attached. It shows the solution to be (x, y) = (1, 1).
Answer:
x= 1 y=1 (1,0) and (0,1)
Step-by-step explanation:
The area of a square is 117 square meters which best represents the length of a side.
The best representation for the length of a side of the square is 10.82 meters.
Given that the area of the square is 117 square meters.
Let's denote the length of the side of the square as "s."
The formula for area of square
= s²
Substituting the value of area of square 117 square meter back to the formula
117 = s²
Take the square root of both sides:
s = √(117)
s ≈ 10.82 meters
So, the length of a side of the square is 10.82 meters.
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What is the absolute value of 6 added to the absolute value of 5?
Answer:
11
Step-by-step explanation:
I’m pretty sure. Just add it
Answer:
11
Step-by-step explanation:
Absolute value only applies to negative numbers. It will make negative numbers positive. As you can see in the problem, they are asking for the absolute value of positive numbers, so you can ignore the absolute value signs and add normally.
Hope it helps! Comment if you have any questions!
An outdoor spigot at the school has a leak and is dripping water. A student counted eighty drops of water in five minutes and noticed that sixty drops of water filled a container to a level of ten milliliters. If the spigot is not fixed and this dripping rate continues, how many liters of water will be wasted in four weeks? Round the answer to the nearest liter.
Answer:
108 liters
Step-by-step explanation:
Given that:
80 drops are there in 5 minutes.
Time to be considered is 4 weeks.
Let us find number drops in 4 weeks.
Number of drops in 5 minutes = 80
Number of drops in 1 minute = [tex]\frac{80}{5}[/tex]
Number of drops in 60 minutes = [tex]\frac{80}{5}[/tex] [tex]\times 60[/tex]
Number of drops in 24 hours (60 [tex]\times[/tex] 24 minutes) = [tex]\frac{80}{5}[/tex] [tex]\times 60[/tex] [tex]\times 24[/tex]
Number of drops in 28 days (28 [tex]\times[/tex]24 hours OR 60 [tex]\times[/tex] 24 [tex]\times[/tex]28 minutes) = [tex]\frac{80}{5}[/tex] [tex]\times 60[/tex] [tex]\times 24[/tex][tex]\times[/tex]28 = 645120
Now, we are given that 60 drops = 10 mL
1 drop = [tex]\frac{10}{60}[/tex] mL
645120 drops = [tex]\frac{10}{60} \times 645120[/tex] = 107520 mL
We know that 1000 mL = 1 Liter
1 mL = [tex]\frac{1}{1000}[/tex] Liter
107520 mL = [tex]\frac{1}{1000} \times 107520\ L \approx 108\ L[/tex]
So, the answer is 108 Liter.
solve for x 4(−7x−2)−10=-3 + 5x+1
Answer:
i think the answer is -33
Step-by-step explanation:
I WILL MARK BRAINLIEST!!!
Molly swimming in a pool that is 25 m long. She swim 24 length of the pool and 40 minutes. What was the rate of speed in meters per hour?
Can you please tell me how you got the answer thank you
Answer:
the length she swim = 24m
time taken = 40 minutes =40/60hour
rate of speed= 24/(40/60)= 36mper hour
Step-by-step explanation:
Step-by-step explanation:
Because Molly swam across the pool 24 times, she swam a total of 24 * 25m = 600 meters.
600m in 40 minutes
Since 40 minutes * 1.5 = 60 minutes = 1 hour,
600m * 1.5 = 900m.
Hence Molly's speed was 900m/h.
what is the answer I really need help
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Logical Analysis of pattern.
Since here we can determine it,
It shows that,
8-4 = 4 +6 = 10 and so, on
so,
3rd option is the answer.
--> Subtract 4 , Add 6 , repeat it
Answer:
From 8 to 4, there is a difference of 4, and from 4 to 10 a difference of 6. This continues until 8, and the next in the pattern if plus 6.
Step-by-step explanation:
Reptile sticker come in sheets of 6 and fish stickers come in sheets of 9. Antonio buys the same number of both types of stickers and he buys at least 100 of each type. What is the least number of sheets of each type he might buy?
Answer:
he ill buy 0.06 reptile stickers and 0.09 fish sticker sheets
Step-by-step explanation:
1.
Which of the following is a conjecture?
Why is it so dark in here?
А
He is never going to get here.
B
Straight ahead.
That bridge over there.
D
I’m so stupid I don’t know
Answer:
I am stupid too, so forgive me if I am wrong.ಥ_ಥ
I am pretty sure the correct answer is D since 2 can be multiplied by 3 to get 6, and 3 can be multiplied by 3 to get 9. Thus, if the number of guitars is multiplied by 3, the number of amps will always be a multiple of 3.