A city planner uses a coordinate grid to model the streets of a city. Each unit on the coordinate grid represents one city block. City hall is located at (0,0).The downtown area is represented by rectangleABCD, which has the vertices listed below. A(9,9) B(9,−2) C(−8,−2) D(−8,9) What is the perimeter of the downtown area?

Answers

Answer 1

Answer:

The perimeter of the downtown area is 56 units.

Step-by-step explanation:

From Geometry we know that perimeter ([tex]p[/tex]), dimensionless, is the sum of the lengths of the rectangle, that is, its 4 sides:

[tex]p = AB + BC + CD + DA[/tex] (1)

Where [tex]AB[/tex], [tex]BC[/tex], [tex]CD[/tex] and [tex]DA[/tex] are the sides of the rectangle, dimensionless.

Each side length is determined by Pythagorean Theorem:

[tex]AB = \sqrt{(9-9)^{2}+(-2-9)^{2}}[/tex]

[tex]AB = 11[/tex]

[tex]BC = \sqrt{(-8-9)^{2}+[-2-(-2)]^{2}}[/tex]

[tex]BC = 17[/tex]

[tex]CD = \sqrt{[-8-(-8)]^{2}+[9-(-2)]^{2}}[/tex]

[tex]CD = 11[/tex]

[tex]DA = \sqrt{[9-(-8)]^{2}+(9-9)^{2}}[/tex]

[tex]DA = 17[/tex]

Then, the perimeter of the downtown area is:

[tex]p = 11+17+11+17[/tex]

[tex]p = 56[/tex]

The perimeter of the downtown area is 56 units.

Answer 2

Answer:

56 units

Step-by-step explanation:


Related Questions

will give brainliest!
hA class conducts a survey about types of movies. 53 girls and 48 boys reported comedy as their favorite. 23 girls and 62 boys reported horror as their favorite. Find the probability of a boy from this school selecting horror as his favorite type of movie​

Answers

Answer:

101

Step-by-step explanation:

what i did was 53 + 48 i got 101 '

and now for 23 + 62 i got 83 so 83 < 101 i dont know what your looking for but this might help!

Find the inverse of each of the given functions. h(x)= 2x-4/3

Answers

Answer:

h^-1(x)=x/2+2/3

Step-by-step explanation:

Convert the decimal 19.52 into a mixed fraction

Answers

19 and 13/25 is your answer.

Answer:

19 11/20

Step-by-step explanation:

1955/100

391/20

19 11/20

Note: you have to place 19 beside" / "

3х + 2y = 14
3х - 2y = 10

Answers

Use elimination
Subtract both
4y = 4, y = 1
3x + 2 = 14
3x = 12, x = 4
Final answer: x = 4, y = 1

Answer:

(4, 1 )

Step-by-step explanation:

Given the 2 equations

3x + 2y = 14 → (1)

3x - 2y = 10 → (2)

Adding the 2 equations term by term, eliminates y , that is

6x = 24 ( divide both sides by 6 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

3(4) + 2y = 14

12 + 2y = 14 ( subtract 12 from both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (4, 1 )

If the measurement of Angle 6 = 50 degrees, then the measurement of Angle 3 = 50 degrees

True or False

Answers

Answer:

True

Step-by-step explanation:

angle 3 and 6 are alternate angles.

alternate angles have the following characteristics:

1. they are inside the parallel lines

2. they are on opposite sides of the transversal

3. they are EQUAL

another example of alternate angles is angle 4 and angle 5

Answer:

True

Step-by-step explanation:

I took this in my class already

can you plz gelp me identify this triangle according to its size and angles​

Answers

Answer:

It is equal angular, acute and equilateral  

Step-by-step explanation:

Suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4.

Answers

Answer:

y=15

Step-by-step explanation:

y=kx

30= 8k

k=15/4

y=15/4×4

y=15

estimate the quotient 1.64 divided by 22

Answers

Answer:

about 0.075

Step-by-step explanation:

The estimation of the quotient 1.64 divided by 22 is 0.0745.

Given that,

There is one number i.e. 1.64.The other number is 22.We need to find the quotient.

Based on the above information, the calculation is as follows:

[tex]= 1.644 \div 22[/tex]

= 0.0745

Therefore we can conclude that the estimation of the quotient 1.64 divided by 22 is 0.0745.

Learn more: brainly.com/question/21416852

Help me what is the slope of the line

Answers

Answer:

3/2

Step-by-step explanation:

A theater has 20 seats per row each row is filled before the next row is used on Wednesday eight people are seated in the last row which option could be the total number of people seated in the theater on Wednesday

Answers

Answer:

448

Step-by-step explanation:

Line segment has endpoints A(-4, -10) and B(-11, -7). To find the x-coordinate of the point that divides the directed line segment in a ratio, the formula was used to find that . What is the x-coordinate of the point that divides into a 3:4 ratio? -7 -5 -3 -1

Answers

Answer:

The x-coordinate is -7

Step-by-step explanation:

We can use the internal division formula to find this;

That will be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

we only need the x coordinates in this case

m = 3 and n = 4

x = 4(-4) + 3(-11)/(3 + 4)

x = (-16 -33)/7 = -49/7 = -7

Answer:

A. -7

Step-by-step explanation: hope this helps :)

pleaseee help me will mark brainliest

Answers

We are going to define two equations where b means bagels and m will be muffins, First equation: 10*b + 4*m = 13 Second equation: 5*b + 8*m = 14 From the second equation, we can isolate b: b = (14 - 8*m)/5 In the second equation 10*(14 - 8*m)/5 + 4*m = 13 2*(14 - 8*m) + 4*m = 13 28 - 16*m + 4*m = 13 28 -13 = 16*m - 4*m 15 = 12*m m = 15/12 = 1.25 Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8 So one bagel costs $0.8 and one muffin $1.25

Answer:

Muffins: $1.25

Bagels: $0.80

Step-by-step explanation:

I wrote down my work. Hope it helps and have a great day!

At the beginning of the month, Kimberly had $65.78. Since then,she has received three payments of $32.50 from her babysitting job. Kimberlys 2 sisters each helped her babysit once during the month,so Kimberly paid them $8.75. If Kimberly did not spend any money, how much money does she have now

Answers

Answers:

she has $80.78.

Step-by-step explanation:

A una obra de teatro acudieron 420 personas y se recaudaron $48,000.00. Si el costo de la entrada de los adultos fue de $200 y el costo de la entrada de niños costaba $80. ¿Cuántos adultos y niños que acudieron?

Answers

Answer:

La respuesta es que acudieron 120 adultos y 300 niños.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes escribir las siguientes ecuaciones:

x+y=420 (1)

200x+80y=48,000 (2), donde:

x es el número de adultos

y es el número de niños

Primero, puedes despejar x en (1):

x=420-y (3)

Ahora, puedes reemplazar (3) en (2):

200(420-y)+80y=48,000

84,000-200y+80y=48,000

84,000-48,000=200y-80y

36,000=120y

y=36,000/120

y=300

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=420-y

x=420-300

x=120

De acuerdo a esto, la respuesta es que acudieron 120 adultos y 300 niños.

If the triangle were reflected across the x-axis, then translated four units to the left,
what would be the value of the x-coordinate of point B?

Answers

When the triangle is reflected across the x-axis, then point B would be (6, -6), but when it's also translated four units to the left, it will be (2, -6).

When you reflect something across an axis, then a point you recall will have the x or y value have the opposite sign (i.e. 6 would become -6 across the x-axis and vice versa).

When you translate something across the graph, you are adding to the x value when shifting to the right, subtracting from the x value when shifting to the left, adding to the y value when shifting upward, and subtracting from the y value when shifting downward.

∴, B = (2, -6).

if g(x)=2(x-4), find the value of x if g(x)=20

1) 32
2) 12
3) 14
4) 10
please HELP​

Answers

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

What is the value of x in the equation ? –6 –2 2 6

Answers

Answer:

the answer is 6

Step-by-step explanation:

i took the test

Answer:

The answer is D 6

Step-by-step explanation:

Which point on the number line represents -3/4?





A
B
C
D
Pls answer

Answers

Answer:

B.

Step-by-step explanation:

-[tex]\frac{3}{4}[/tex] = -0.75

-0.75 is less than -0.5 but more than -1.

A shows -1.75.

B shows -0.75.

C shows -0.25.

D shows 0.75.

Note: Each mark is 0.25.

need help please answer

Answers

Answer:

123456789

Step-by-step explanation:

123456789123456789123456789123456789123456789123456789123456789123456789123456789123456788912345678912345678912345678912345678912345678 there is your answer

A ladder leaning against a wall makes an angle of 45 with the ground. If the length of the ladder is 20

Answers

Answer:

4.5

Step-by-step explanation:

Please help I will give you brainliest put the right answer.

Answers

Answer:

The answer is 104

Step-by-step explanation:

I’m guessing the shape is a triangle so if you have to angels you add them up and minus then from 180 what you get is your missing angle.

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y = -4x2 + 141x – 703

Answers

Answer:

b

Step-by-step explanation:

The maximum amount of profit the company can make is $543

Let y represent the amount of profit and x represent the selling price.

The relationship between x and y is:

y = -4x² + 141x – 703

The maximum profit is at dy/dx = 0, hence:

dy/dx = -8x + 141

-8x + 141 = 0

8x = 141

x = 17.625

The maximum profit is:

y = -4(17.625)² + 141(17.625) – 703 = 543

The maximum amount of profit the company can make is $543

Find out more at: https://brainly.com/question/17200182

It took Jaylon 27 minutes to run 3 miles. If he continued to run at the same rate, how far did he run in an hour

Answers

Answer:

6.66 miles

Step-by-step explanation:

Miles run in 27 minutes = 3 miles

Miles run in 1 minute = 3÷27 miles = [tex]\frac{1}{9}[/tex]

1 hour = 60 minutes

Therefore,

Miles run in 60 minutes = [tex]\frac{1}{9}[/tex] × 60

                                        = [tex]\frac{20}{3}[/tex] miles OR 6.66 miles

Write the ratio 7 : 4 in the form n : 1

Answers

7÷4 : 4÷4

1.75 : 1

or (off u round off 1.75)

2:1

Use the Distributive Property to Factor the Expression
6b+ 6

Answers

Answer:

6(b+1)

Step-by-step explanation:

6(b+1)

see this and reply me

Please help me w the equation and please don’t take advantage of the points.

Answers

Answer:

y = 6x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 and given point (0, 4 ) ⇒ c = 4

y = 6x + 4 ← equation of line

what is the maximum temperature for hiking cold, potentially hazardous food?
-less than 32 degrees
-less than 45 degrees
-less than 41 degrees
-less than 70 degrees

Answers

Less than 45° F is potentially hazardous food.

it must be less than 41 degrees

correct answer gets marked brainliest!

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3 [/tex].

We would get the same rate of change if we use any other two pairs of values in the data given.

Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.

To represent y as a function of x, find b, since we know the rate of change (m).

Substitute x = -3, y = 16 and m = -3 in y = mx + b.

Thus:

16 = (-3)(-3) + b

16 = 9 + b

Subtract 9 from each side

16 - 9 = b

7 = b

b = 7

Substitute m = -3 and b = 7 in y = mx + b

The function would be:

✅ y = -3x + 7

3.195 rounded to the nearest hundredth

Answers

3.2 hope thus helps :)))

The chess club members bought 6 tickets to a tournament for $15. How much would 1 ticket cost?

Answers

Answer:

$2.5 for 1 ticket

Step-by-step explanation:

Divide $15 by 6

The answer is 2.5

So it would cost $2.5 for just 1 ticket

Hope this helped :)

Answer:

$2.5

Step-by-step explanation:

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