Find the perimeter P of ▱JKLM with vertices J(0,1), K(3,4), L(8,4), and M(5,1). Round your answer to the nearest tenth, if necessary. Please help, got to get this done.

Answers

Answer 1

Adding the distances between two consecutive vertices, the perimeter of JKLM is of [tex]10 + 6\sqrt{2}[/tex] units.

The perimeter of JKLM is the sum of the distances between all consecutive vertices.

Given two points, [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is of:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

The perimeter is the sum of these following distances: JK, KL, LM and MJ.

Distance JK:

[tex]D = \sqrt{(3 - 0)^2 + (4 - 1)^2} = \sqrt{18} = 3\sqrt{2}[/tex]

Distance KL:

[tex]D = \sqrt{(8 - 3)^2 + (4 - 4)^2} = \sqrt{25} = 5[/tex]

Distance LM:

[tex]D = \sqrt{(5 - 8)^2 + (1 - 4)^2} = \sqrt{18} = 3\sqrt{2}[/tex]

Distance MJ:

[tex]D = \sqrt{(5 - 0)^2 + (1 - 1)^2} = \sqrt{25} = 5[/tex]

Thus, the perimeter, in units, is of:

[tex]P = 2(5 + 3\sqrt{2}) = 10 + 6\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/20666716


Related Questions

Solve for m: m=−(4+m)+2

Answers

Answer:

m = - 1

Step-by-step explanation:

m = -4 - m + 2    Combine

m = -2 - m          Add m to both sides

m+m = - 2          Combine

2m = - 2            Divide by 2

m = -2/2

m = - 1

m=−(4+m)+2

Simplify both sides of the equation.

m=−(4+m)+2

m=−m+−4+2

m=(−m)+(−4+2)

m=−m+−2

m=−m−2

Add m to both sides.

m+m=−m−2+m

2m=−2

Divide both sides by 2.

2m/2=−2/2

m=−1

hope this helps!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP.For spirit week at the local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear their school colors. what is the ratio?

Answers

Answer:

The ratio is 4:1 school colors to no colors

Step-by-step explanation:

Do 1200/300 = 12/3 =4/1

Answer:

4:1

Step-by-step explanation:

that is the most simplified version of it

unsimplified is 1200:300

a hair salon used 21 ounces from a bottle of shampoo. 30% of the bottle remains. how many ounces were in the original bottle

Answers

Answer:

23

Step-by-step explanation:

I’m pretty sure at least if not sorrrryyy

equation for the amount of sodium in 4 slices of bread 130,260, 390, 520

Answers

We can use a linear equation in this data set because we have a given rate of increase (sodium) over a given quantity (slices).

Therefore, we need to calculate the rate of change between both variables; how much sodium increases per the amount of slices of bread.

Calculating the slope:
• We are not given two coordinate pairs, so to calculate the slope, we need to know how much sodium is added per each piece of bread.
• We will take the difference of the sodium increases in the data set:

260-130 = 130

520-390 = 130

Therefore, the slope or rate of change is 130mg per 1 piece of bread. We can put this into a slope-intercept equation in the form of y=mx+b

Y=130x is the equation.

Please give Brainliest!


The equation y=0.06x+105 gives the cost y of renting a car if the care is driven x miles. Based on this equation, for every mile the car is driven the cost of increases by how much?

Answers

Answer:

it increases by 6 cents for every mile driven plus the initial 105 dollars

Step-by-step explanation:

brainliest plzzzz

Determine the equation of the line that has a slope of and goes through the
point (3,5).

Answers

what is the slope ? i can’t solve with out the slope

23
An object containing the point (-6, 10) was moved to the location (12, -2). Which choice best described the translation?
A right 12, down 12
Bright 6, down 10
right 18, down 12
Dright 18, up 12

Answers

Answer:

C right 18, down 12

Step-by-step explanation:

Well firstly,

you should focus on the x in both the previous and after location of the object.if you minus 12 from the after point (12,-2) by -6 from the previous point (-6,10) for the object, you'll get 18 which is positive, which means that the object will moves to the right side of the graph →

12 - (-6)

= 18

Next,

you should now focus on the y in both the previous and after location of the object.you should minus -2 by 10 and you'll get -12, which means that the object will moves to the down side of the graph ↓

-2 - 10

= -12

So, the object will move 18 boxes to the right and 12 boxes down to achieve the after, final or last location as stated in the question (12,-2)

What is the value of 2x(3+x2) when x=−2?

Answers

Answer:

4

Step-by-step explanation:

hope this helps :)

Write an equation in point-slope form that has a slope of -1/2 and a y-intercept of -8.

Can somone please help me!!

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = mx + b

y = -1/2x - 8

y1+8= -1/2(x1-0)

Point slope form is y1-y=m(x1-x)

Slope: -1/2
Y-intercept: -8
A point from the line: (0, -8)

3. What is the GCF of 12, 24, and 36? A. 12 C. 24 B. 18 D. 48​

Answers

Answer:

A

Step-by-step explanation:

GCF is greatest common factor, which means that it is the greatest number all the numbers can be divisible by

for these numbers it is 12

Hey there!

Finding the GCF (Greatest Common Factor) of 12, 24, & 48

List of the factors

• 12: 1, 2, 3, 4, 6, & 12

• 24: 1, 2, 3, 4, 6, 8, 12, & 24

• 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, & 48

Common factors

• 1, 2, 3, 4, 6, & 12

Biggest numbers out of the factors

• 6 & 12

GREATEST common factor

• 12

Therefore, your answer is: GCF (Greatest Common Factor) → 12

• Option A.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

how many tens are in 1290

Answers

Answer:

129

Step-by-step explanation:

Divide 1290 by 10 and you get 129

Answer: 129 tens

Step-by-step explanation:

1290/10=129

129x10=1290

Solve for x using the property of bisected
diagonals
CN=20 ln=6x-2

Answers

Answer: x=7

Step-by-step explanation:

Since the diagonals of the parallelogram divide each other in half then:[tex]\sf LC=NC=20 \ \Longrightarrow LN=2NC=20\cdot 2=40 \\\\ LN=6x-2=40 \\\\6x-2=40 \\\\ 6x=42 \\\\ \boldsymbol {\sf x=7}[/tex]

1x2(I572535x789)+345678x89/56

Answers

I searched it up, and this is what it showed, hope it helps

Find a point slope form for the line with slaps 1/5 and passing through the point (-8,-9)

Answers

Answer:

Point Slope Formula: y=m(x-x1)+y

Step-by-step explanation:

1) A 60 cm length of wire is used to form a rectangle. The
width of the rectangle is 3 cm longer than the height. Not all
the wire is used.
Find the range of values for the shortest side.

Answers

Answer:

Step-by-step explanation:

here's a somewhat answer, and how to solve it

lets assume that all "60 cm wire is used to make a rectangle"

h = a

w = a + 3

the perimeter of the rectangle is

a + a + a + 3 + a + 3 = 60

4a = 54

a = 13.5

-------------------------------

height = 13.5

width = 16.5

BUT, the problem says "not all the wired is used"

how much? 59? 58? 57.... the lowest value for the shortes side is 1

h = 1

w = 1 + 3 = 4  

perimeter : 1 +4 + 4 + 1 = 6cm

if this is not good enough. please make a comment below to delete my answer

The volume of the Earth is about 0.0000007 times as great as the volume of the Sun. That's pretty small!
How could you write the Earth's volume in comparison to the Sun's in scientific notation?
Earth's volume is _____
X
____times as great as the Sun's.

Answers

Athe sky

Step-by-step explanation:

Answer:

0.0000007

Step-by-step explanation:

7 x 10^7

Please help algebra one

Answers

Answer:

b

Step-by-step explanation:

make me as brainliest pls

Rewrite the equation below so that it does not have fractions.
3/4x-2=2/5

Do not use decimals in your answer.

Answers

Answer:

[tex]\frac{15}{20} x-2=\frac{8}{20}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} x-2=\frac{2}{5}[/tex]

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

[tex]\frac{3}{4} =\frac{15}{20}[/tex]

[tex]\frac{2}{5} =\frac{8}{20}[/tex]

[tex]\frac{15}{20} x-2=\frac{8}{20}[/tex]

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

15x = 48

Step-by-step explanation:

[tex]\begin{aligned}\rm\frac{3}{4}x-2&=\rm \frac{2}{5}\to(multiplied~by~20)\\\rm(20)\frac{3}{4}x-(20)2&=(20)\frac{2}{5}\\\rm 15x-40&=8\\\rm 15x&=8+40\\\rm 15x&=48\end{aligned}[/tex]

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!

Answers

Answer:

A) 33

B) 58

Step-by-step explanation:

A is 33 because supplementary angles add up to 180 in total. 180 - 147 = 33, so its supplementary angle would be 33 degrees.

B is 58 because complementary angles add up to 90 in total. 90 - 32 = 58, so the complementary angle would be 58 degrees.

Answer:  33° and 58°

Step-by-step explanation:

147° and 32°

Two angles are called complementary when their measures add to 90 degrees. (90° - 32°) = 58°

Two angles are called supplementary when their measures add up to 180 degrees.  (180°-147°) = 33°

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
15, 11, 7, ...

Answers

the sequence is arithmetic since the common difference that is equal
d=11-15=7-11=-4
a(n) = a1 +(n-1)d
a1=15
=
a(n) = 15+(n-1)-4

Can anyone help please?

Answers

Answer:

Blank 1: 18

Blank 2: 10

Blank 3: 12

Blank 4: 18

Blank 5: 1.5

Blank 6: 155

Blank 7: 224

Blank 8: 280

B & C

Step-by-step explanation:

Which relation is a function?

Answers

Answer: see below

Step-by-step explanation:

Vertical line test determines which graph is a function.

The graph should pass the vertical line only once if it’s a function.

So we can see that it is the left V-shaped graph.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

The graph number [2], represents a function.

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.

We have some graphs of relations as shown.

Only the graph number [2], represents a function as for a single value value of [x], a single unique value of [y] exists.

Therefore, the graph number [2], represents a function.

To solve more questions on finding the domain and range of functions, visit the link below -

brainly.com/question/1632425

#SPJ2

The lentgh of a rectangle is 7 inched adn the wudth is (x+2) inches. write an expression in the simpilest form that represents the areaof the rectangle

Answers

The area of the rectangle is length * width = 7 * (x + 2) = 7x + 14

HELP NEEDED QUICK

Find the measure of the missing angles.

Answers

Y- 64 X- 26 I believe these are the angles.

Domain and Range

Find the Domain and Range for each graph​

Answers

Answer:

Loading,please wait...

Step-by-step explanation:

there are two numbers tat multiply to -36 and combine to 0. Find the two numbers,then the SMALLER number is your answer for this question

Answers

-6 and 6. -6x6 is -36 and combined equal 0. The -6 is the smaller of the two numbers

A park charges $8 per hour to rent a bike
Choose the equation that models the situation, where c represents the total cost and
h represents the number of hours of bike rental.

Answers

The answer would be c=8h
cost equals 8$ per(times) hour

c=8j

Which is larger?
A) 52
B) 33
o
А
OB

Answers

Answer:

B)3^3

Step-by-step explanation:

please decent answer, I really need it.
thankyou​

Answers

Answer:

Step-by-step explanation:

you need to convert all the numbers to a decimal or fraction with the same denominator then add i all u and take it away from the main number then divide the answer by 2

Identify the property used to the following statements
1. (3)(-5) = (-5)(3)
2. 15+8=23
3. 10(3+2)=10(3)+10(2)

Answers

Answer:

co.mutative property

Step-by-step explanation:

you can switch the terms around

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