Mathematics High School

Busby County is rectangular. A map of the county on a coordinate plane shows the vertices of the county at (5, 8), (8, 8),(8,10),and (5,10). What if the coordinates were A(−2, 5), B(5, 5),C(5,−9),and D(−2,−9)? What would the perimeter of the county be?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]

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

The perimeter of rectangle = 2(length + breadth)

If the vertices are at (5, 8), (8, 8),(8,10),and (5,10), then:

[tex]length=\sqrt{(8-5)^2+(8-8)^2} =3\\\\breadth=\sqrt{(8-8)^2+(10-8)^2} =2[/tex]

The perimeter of the county would be = 2(length + breadth) = 2(3 + 2) = 10 unit

If the vertices are at A(−2, 5), B(5, 5),C(5,−9),and D(−2,−9), then:

[tex]breadth=|AB|=\sqrt{(5-(-2))^2+(5-5)^2} =7\\\\lenght=|BC|=\sqrt{(5-5)^2+(-9-5)^2} =14[/tex]

The perimeter of the county would be = 2(length + breadth) = 2(7 + 14) = 42 unit

Related Questions

0
류
In
+
0
4
1
6
1
Which fraction is equal to
좋

Answers

Answer:

B = 6/8

Step-by-step explanation:

3 x 2 = 6

____ __

4 x 2 8

(Equivalent fraction)

Cecilia needs to divide 378 guppies into 3 groups. How many guppies will be in each group?

There will be
guppies in each group.

Answers

126 guppies in each group!

Answer:

In each group will be 126 guppies

Step-by-step explanation:

You must divide 378 by 3:

378 = 300 + 60 + 18

378 : 3 = 300 : 3 + 60 : 3 + 18 : 3 = 100 + 20 + 6 = 126

Pamela is 12 years older than jiri the sum of their ages is 78 what is jiri’s age

Answers

Answer:

please give me brainliest

please I only need two more :C

Step-by-step explanation:

78 - 12 = 66

66 ÷ 2 = 33

Answer:

Jiri's age is 33 years old

Step-by-step explanation:

let Pamela's age be = x

let Jiri's age be = y

pamela is 12 years older than Jiri

x = 12+y

sum of their age is 78

x+y = 78

use the substitution method to solve this question

x = 12+y -------- (1)

x+y = 78 --------- (2)

substitute (1) into (2)

x+y = 78

12+y+y = 78

12+2y = 78

2y = 78-12

2y = 66

y = 33

find the percent change from 30 to 6

Answers

Answer:

-80.00%

Step-by-step explanation:

1) Find the difference between 30 and 6 as a number.

2) Divide the result from Step 1 by the starting number 30.

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

The three steps above can be made into a formula. Thus, to find the percent change from 30 to 6, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 30, and Y is the ending number 6 that it changed to. When we enter these numbers into the formula, we get:

((6-30)/30)*100 = -80.00%

Thus, the answer to the question "What is the Percent Change from 30 to 6?" is:

-80.00%

Find the median of the following data.
2, 8, 7, 8, 6, 15, 6, 8,3
A. 8
B. 6
Oc. 15
D. 7
O E. 2

Answers

Answer:

B.6 is the correct answer

Step-by-step explanation:

I hope it helps ❤❤❤❤

Answer:

B. 6

Step-by-step explanation:

I hope it helps........

Simplify the following expression:

1/4(12h + 8) + 1/2(6h - 2)

Answers

Answer:

6h + 1

I hope this helps!

Answer:

6h + 1

Step-by-step explanation:

1/4(12h + 8) + 1/2(6h - 2)

fractions also mean division, so divide the first pair by 4 and divide the second pair with 2

3h + 2 + 3h - 1

add like terms

6h + 1

A songwriter gets paid monthly at a rate of $150 for each song he completes. Last month he wrote 8 songs and got halfway through a 9th song. How much money was he paid last month?

Answers

Answer:

The answer would be 1275 if they get paid for half the money on the 9th song

Step-by-step explanation:

Answer:

$1200

Step-by-step explanation:

I NEED HELP. PLEASE PROVIDE ME WITH FULL SOLUTIONS PLEASE AND THANK YOU. Kenny travels a certain distance East from point A to B and then travels a distance of 4.9 km to C. If the distance between point A and C is 13.05 km, then what is the distance Kenny travelled East? WILL MARK BRAINLIEST WHEN I GET THE CHANCE.

Answers

9514 1404 393

Answer:

about 12.10 km

Step-by-step explanation:

The Pythagorean theorem applies. If 'e' represents the distance Kenny traveled East, then ...

e^2 +4.9^2 = 13.05^2

e^2 = 13.05^2 -4.9^2 = 146.2925

e = √145.2925 ≈ 12.095

Kenny traveled about 12.10 km East.

Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3 hours. What is the unit rate for all 24 problems? 4 problems per hour 6 problems per hour 8 problems per hour 12 problems per hour

Answers

Answer:

6 problems per hour

Step-by-step explanation:

Total problems = 24

she completed the first 12 problems in 1 hour

The last 12 in 3 hours.

Total time = 1 hour + 3 hours

= 4 hours

unit rate for all 24 problems = total number of problems / total time taken

= 24 problems / 4 hours

= 6 problems per hour

Use the interactive number line to find each sum to complete the table.

A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled a + b with entries 3, R, S, T.

R =
S =
T =

Answers

Answer:

R= -3

S= -3

T= -9

Step-by-step explanation:

i got this right

The required sum using the interactive number line is R = -3, S = -3, and T = -9.

Given a table of the form:

a b a+b

1 2 3

-1 -2 R

-4 1 S

-6 -3 T

It is required to find the value of R, S, and T.

R = -1 + (-2) = -1 - 2

That is on a number line, -1 is taken 2 units to the left.

Then the point is -3.

So, R = -3.

S = -4 + 1

Here, -4 is taken 1 unit to the right.

Then the point is -3.

So, S = -3

T = -6 + (-3) = -6 - 3

Here, -6 is taken 3 units to the left.

Then the point is -9.

So, T = -9

Learn more about Number Lines here :

https://brainly.com/question/17220505

#SPJ2

Whoever gets right I’ll give you brainless

Answers

Answer:

figure 2

Step-by-step explanation: look at x and since its zero it will be a straight line across the x middle line and just look in the equation and then look at the y axis and then do it

Solve the equation x=4/3(pie)r3 for r

Answers

Answer:

Heeya mate!! Option D is the right one

Hope this helps you

Stay happy and safe

Do mark as brainliest ✌️

How many solutions does the nonlinear system of equations graphed below have?
A.)two
B.)Four
C.)Zero
D.)One

Answers

Answer: A.

Step-by-step explanation:

Two

A boat leaves a pier and travels 15 miles due east, then turns and travels 15 miles in the direction N 20 E. Which diagram represents the boats current distance x from the pier?

Answers

Answer:

I chose B

Step-by-step explanation:

Because it goes north and east, and i got an 84

Answer:

The answer is A

Step-by-step explanation:

because the green arrow represents the 15 miles East, then the blue arrow is 20degrees east of a line straight up and down, so its N 20 E

Step-by-step explanation:

3x + 2 = -40 - 4x. I give brainliest just for the love of god help me.

Answers

Answer:

x=-6

Step-by-step explanation:

3x+2=-40-4x

add 4x to both sides to get

3x+4x+2=-40

now subrtact 2 from both sides

3x+4x=-40-2

combine like terms

7x=-42

divide -42/7

x=-6

1.6y+y-4/15y+1 1/6y=2 1/3

Answers

1.6y+y-4/15y+7/6y=21/3

We move all terms to the left:

1.6y+y-4/15y+7/6y-(21/3)=0

Domain of the equation: 15y!=0

y!=0/15

y!=0

y∈R

Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R