you are a city planner and I have been asked to redesign a park . Currently the park is 500 feet long and 300 feet wide. Q1) calculate the scale factor of the drawing. Q2) The city would like sidewalks placed on the diagonals of the park. How long will the sidewalks be in the scale drawing? Q3) The diagonals meet at a central fountain(point g) they would like to add a playground that is equidistant from the fountain and corner C. At which coordinate with the center of the playground be located? Q4) The city would like a running trail through the park perpendicular to sidewalk AC. What would the slope of the trail be? Q5) what is the equation of line BD in point slope form ? Please help me ASAP.

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

Answer:

-9

Step-by-step explanation:

Answer:

6x + 1

Step-by-step explanation:

1. (10x + 3) + (-4x -2) --> sum means to add.

2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.

3. 6x + 1

Answer:

b = 3

Step-by-step explanation:

Answer:

as explained

Step-by-step explanation:

as in the photo i've shown :

i've shown the table for you both

i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.

for first one

if x=2 replace x=2 in f(x) you will get f(2)=4

f(3)=1

f(4)=0

f(5)=1

f(6)=4

Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)

Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5

Answer:

42/145

Step-by-step explanation:

i tried might be wrong

Answer:

A square field has a perimeter if 3.6km what is the length of one side in metres

Step-by-step explanation:

A square field has a perimeter if 3.6km what is the length of one side in metres

Given,

We need to find,

As we know that,

→3600=4s

→3600/4=side

→Side=900m

Answer:

r=63

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    r/3-(21)=0             r

Simplify   —

           3

r    

 — -  21  = 0

 3     2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         21     21 • 3

   21 =  ——  =  ——————

         1        3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Answer:

C

Step-by-step explanation:

94%

Answer:

k = 1

Step-by-step explanation:

Given that,

[tex]f(x) = x^3 +kx + 2[/tex]

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.

[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]

So, the value of k is 1.

Answer:

45 cm2

Step-by-step explanation:

your welcome I guess?

im doing the same test btw

EDIT: i finished my test this answer is wrong. pls do search for a different answer.  because mine is wrong.

Answer:

1

Step-by-step explanation:

12 divided by 4 = 3

3 divided by 3 = 1

1/4

Answer:

90, 91 and 92

Step-by-step explanation:

Given

Consecutive integers = 273

Required

Find the integers

The question seem to be incomplete. However, I'll assume we're dealing with sum.

Let the smallest integer be y.

So,

y + y + 1 + y + 2 = 273

Collect like terms.

y + y + y = 273 - 2 - 1

3y = 270

Divide both sides by 3

y = 90

Hence, the integers are 90, 91 and 92

Answer:

30

Step-by-step explanation:

1/2(12)(5)

Answer:

30

Step-by-step explanation:

The area of a triangle is 1/2 bh

b= base, in this case 12 cm

h= height, in this case 5 cm

so you multiply 5 times 12 and you get 60

You take that 60 and half it to get your answer of 30.

Answer:

2 5/18

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

√15 is not a rational number it's a irrational number

:-))

Answer:

Irrational

Step-by-step explanation:

Rational numbers are those that can be written in the form a/b where a and b are both integers with no common factors.

sqrt15 cannot be written in that form, therefore it is irrational.

Answer:

below

Step-by-step explanation:

first put it in point-slope then slope intercept:

y+10=3(x+5)

y+10=3x+15

y=3x+5

now graph it

Answer:

funny

Step-by-step explanation:

Answer: month 7

Step-by-step explanation:

My sis did it

Answer:

14 minutes.

Step-by-step explanation:

To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:

2,150X = 30,100

X = 30,100 / 2,150

X = 14

Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.

Answer:

i think 0.38

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

someone else said c and i got it right

Answer:

The other dude was wrong :( the answer is 6.39

Step-by-step explanation:

I took the test on K12

Answer:

The three numbers are 23, 29 and 35.

Step-by-step explanation:

Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.

To find: The three numbers that are in both sequences and also between 20 and 40.

Consider both the sequences.

Put n = 11 in the nth term 2n+1, we get 23.

So, the 11th term of first sequence is 23.

Now put n = 8 in the nth term 3n-1, we get 23.

So, the 8th term of the second sequence is 23.

Therefore, first number that is in both sequence and lies between 20 and 40 is 23.

Now put n = 14 in the nth term 2n+1, we get 29.

So, the 14th term of first sequence is 29.

Put n = 10 in the nth term 3n-1, we get 29.

So, the 10th term of the second sequence is 29.

Therefore, second number that is in both sequence and lies between 20 and 40 is 29.

If we put n = 17 in the nth term 2n+1, then we get 35.

That is, 17th term of first sequence is 35.

Now we put n = 12 in the nth term 3n-1, then we get 35.

That is, 12th term of second sequence is 35.

So, third number that is in both sequence and lies between 20 and 40 is 35.

Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.

Answer:

12 meters

Step-by-step explanation:

Area = length × width.  If we divided 96 (area) by 8 (width) we should get the length. 98 ÷  8 = 12.