3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.

Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.


(a) Find the distance from the fountain to the slide. Show your work.
(b) Find the distance from the fountain to the swings. Show your work.

3. A Playground Designer Wanted To Place A Fountain So That It Was Close To Both The Slide And The Swings.

Answers

Answer 1

Answer:

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.


Related Questions

You spend 15 minutes . You then spend two hours reading email. Write the ratio of the amount of time spent watching television to the amount of time spent reading email as a fraction in simplest form.

Answers

Answer:

1:8

Step-by-step explanation:

The ratio for watching tv, to reading email is 15:120 (because two hours equals 120 min.).I then divided both sides by three to get 5:40. I then divided that ratio by 5 to get 1:8, which is the simplest form.

Use the compound interest formula to compute the total amount accumulated .
$1060 for 5 years at 7% compounded annually

Answers

Answer:

1486.7

Step-by-step explanation:

1060*(1+0.07)^5 = 1486.705

Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?

48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch

Answers

Answer: 48 square inches per inch

Step-by-step explanation:

The surface area of a cube of sidelength e is:

A(e) = 6*e^2.

The rate of change is:

A'(e) = 2*6*e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Answer:

Just did the test, 48 square inches is correct on edge

Step-by-step explanation:

Give credit to the other person.

"You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary."
Supervisor: "Thanks, I look forward to the additional __________ per month."

Answers

Answer:

$3,774

Step-by-step explanation:

The ratio of yes votes to no votes was 4 to 7. If there were 3824 yes votes, what was the total number of votes?

Answers

Answer:

10,516

Step-by-step explanation:

you can do it different ways but I found the scale factor by dividing 4 into 7 which gives you 1.75 you then multiply that by the amount of yes votes (3824x1.75) which gives you 6692 and then you add that to the amount of yes votes which gives you the answer, 10516 - the total number of votes!

Divide total yes votes by the ratio for yes then multiply by the ratio for no:

3824 /4 = 956

956 x 7 = 6692 total number of no votes


total number of votes = 6692 + 3824 = 10,516

Often we need to use exponents to correctly model the variation in situations:
The volume of a cylinder varies jointly with the square of its radius and its height. Its
general equation looks like V = kr’h where k= some constant number for all cylinders
and V, rand h are variables representing volume, radius and height, respectively. When
the radius is 3 cm and height is 5 cm, the cylinder has a volume of 141.3 cm. Find the
volume when the radius is 6 cm and the height is 10 cm.

Answers

Answer:

V = 1130.4 cm³

Step-by-step explanation:

Given that V varies jointly with r² and h then the equation relating them is

V = kr²h ← k is the constant of variation

To find k use the condition when r = 3 and h = 5 then V = 141.3 , then

141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )

k = 3.14 ← note approximation for π

V = 3.14r²h ← equation of variation

When r = 6 and h = 10, then

V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³

by rounding to one significant figure 615 x 38

Answers

Answer:

20000

Step-by-step explanation:

PLEASE HELP!!!! A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream.

Answers

Answer:

2 mph

Step-by-step explanation:

Let the speed of current be x

Speed of the boat in same direction as current is

10 + x

Speed against the current is

10 - x

Based on the given we get the equation for time

6/(10 + x) = 4/(10 - x)

Solving for x

6(10 - x) = 4(10 + x)60 - 6x = 40 + 4x6x + 4x = 60 - 4010x = 20x = 2

The answer is 2 mph

Answer:

6/(10-x) = 4/(10+x)

A home decrease in value from $520,000 to $475,000. What is the percent decrease for the house

Answers

Answer:

5467547

Step-by-step explanation:


Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph.
The distance from Raj's house to the airport is 20 miles.
If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected

Answers

Answer:

40

Step-by-step explanation:

I’m pretty sure it’s 40

What is the slope of a line parallel to the line 9x+3y = 2?​

Answers

Answer:

-9 :)

Step-by-step explanation:

E = {m, a, t, h}
The possible subsets of set S are;
Four
Three
Elements Elements
{m, a, t, h} {m, a, t}
{m, a, h}
{m, t, h
{a, t, h
Zero
Element
{ } or Ø
Two
Elements
{m, a}
{m, t}
{m, h}
{at}
{a, h)
{t, h
One
Element
{m}
{a}
{t}
{h}​

Answers

Answer:

Step-by-step explanation:

dcfrbfirpfbrpifurghfpirfuh

I need help with this problem ASAP!

Answers

Answer:

aye down load the app Socratic

Step-by-step explanation:

just take a picture and it will show you the answers

Davis hit a baseball from a height of 3 feet above the ground at an angle of 24 degrees with the horizontal at an initial velocity of 110 feet per second. How far will the ball travel before it hits the ground?

8. Write a parametric equation for the flight of the ball.

9. Find the maximum height of the ball.

10. How many feet did the ball travel horizontally before it hit the ground?

Answers

Answer:

The ball travel horizontally before it hit the ground is 34.22 feet.

Step-by-step explanation:

Given that,

Height = 3 feet

Angle = 24 °

Initial velocity = 110 feet/s

We need to write a parametric equation for the flight of the ball

Using given data

[tex]r(t)=u\cos\theta\times t\hat{i}+(h+(u\sin\theta)t-\dfrac{1}{2}gt^2)\hat{j}[/tex]

Put the value into the formula

[tex]r(t)=110\cos24\times t\ i+(3+110\sin24\times t-\dfrac{1}{2}32t^2)j[/tex]

[tex]r(t)=100.4t(i)+(3+44.7t-16t^2)j[/tex]

Now, on differentiating w.r.to t

[tex]v(t)=100.4i+(44.7-32t)j[/tex]....(I)

We need to calculate the time

Using equation (I)

If y'(t)=0, then the ball will be at maximum height

So, [tex]y'(t)=44.7-32t[/tex]

Put the value of y'(t)

[tex]44.7-32t=0[/tex]

[tex]t=\dfrac{44.7}{32}[/tex]

[tex]t=1.4\ sec[/tex]

We need to calculate the maximum height

Using equation of motion

[tex]y(t)=h+ut-\dfrac{1}{2}gt^2[/tex]

Put the value into the formula

[tex]y(1.4)=3+44.7\times1.4-16\times(1.4)^2[/tex]

[tex]y(1.4)=34.22\ feet[/tex]

Hence, The ball travel horizontally before it hit the ground is 34.22 feet.

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 6 diamonds

Answers

Answer:

Step-by-step explanation:

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 8 hearts?

For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.

E(X)=

?=

Phil walks around a field 4 times.

The field is 2.1 miles.

About how many miles does Phil walk in all?

Answers

Answer:

8.4

Step-by-step explanation:

You multiply 2.1 and 4

Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800. Sharon car has a market value of $9000 she also has a balance of $1450 in her saving account and has stocks that are currently worth $1050. What is Sharon’s net worth?

Answers

Given:

Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800.

Car = $9000

Balance in her saving account = $1450

Stocks = $1050.

To find:

Sharon’s net worth.

Solution:

Total liabilities = Credit card balance + Car loan balance

                        = $1300 + $4800

                        = $6100

Total Assets = Car + Balance in her saving account + Stocks

                     = $9000 + $1450 + $1050

                     = $11500

Now,

Net worth = Total assets - Total liabilities

                 = $11500 - $6100

                = $5400

Therefore, Sharon’s net worth is $5400.

Sharon's net worth, based on her assets and liabilities, is $5,400.

What is the net worth?

Net worth refers to the difference between an individual's assets and liabilities.

Assets are the properties owned by the individual.  Liabilities are the sources of funding for the assets.  They are financial obligations owed to outsiders (creditors).

In business, the net worth of an entity is known as equity.

Data and Calculations:Liabilities:

Credit card balance of $1300

Car loan balance of $4800

Total liabilities = $6,100

Assets:

Sharon's car with a market value of $9000

Savings account balance of $1450

Stocks that are currently worth $1050

Total assets = $11,500

Net worth = $5,400 ($11,500 - $6,100)

Thus, Sharon's net worth is $5,400.

Learn more about net worth at https://brainly.com/question/27218751

#SPJ1

May can do 936 jumping jacks in
6 minutes. Heather can do 616
jumping jacks in 4 minutes. Who
can do the most jumping jacks
per minute?

please help meeee !

Answers

Answer:

May

Step-by-step explanation:

936 ÷ 6 = 156

616 ÷ 4 = 154

Answer: May

May can do 936 jumping jacks in

6 minutes. Heather can do 616

jumping jacks in 4 minutes. Who

can do the most jumping jacks

per minute?

If you were to divide 936 by 6, you would get 156. Then, divide 616 by 4, and you would get 154. This gives you how many jumping jacks each of them do in one minute. The answer to May’s equation was more than Hather’s equation, so May can do more jumping jacks than Heather.

Which expression is equivalent to this polynomial? x2 + 8

Answers

what are the options?

Answer:

D

Step-by-step explanation:

got it right on plato

HELP PLZZZ. In an indirect proof, you prove an if- then statement is true by assuming the statement is false then disproving the false statement. You want to prove the statement below in an indirect proof. What statement should you prove false.
Statement to prove true: if a figure has exactly three sides,then it is a triangle.
Statment to prove false:???

Answers

Answer:

If a figure is a triangle, then it has three sides.

Step-by-step explanation:

You just flip the if then statement around.

A collector has 50 movie posters and 40 band posters. She wants to sell 25 movie
posters but still have her poster collection maintain the same ratio of 50:40. If she
sells 25 movie posters, how many band posters should she sell? Complete the
explanation to find out how many band posters she should sell.

Answers

she’d have to sell 20 band posters so it’s 25:20 which is a 5:4 ratio

Paula needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Paula will spend on blueberries.

Answers

Answer: $8

Step-by-step explanation: each cartoon is 4 dollars

and she need 2

2•4=8

Answer:

4(2b) and 8b

Step-by-step explanation:

4(2b) = 4x2b= 8b

At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no restrictions?

Answers

Answer:

40320

Step-by-step explanation:

There are 5 boys and 3 girls

With no restrictions, 8 people can seat in 8! ways

8! = 40320 arrangements

Answer:

40320

There are 5 boys and 3 girls

With no restrictions, 8 people can seat in 8! ways

8! = 40320 arrangements

find the mode of the following data 1,2,1,1,3,2,2,2​

Answers

Answer:

2

Step-by-step explanation:

the mode is the on that appears the most, most common one

JUST #4 PLS Eazy, Adding fraction

Answers

Answer:

-1 5/6

Step-by-step explanation:

-1 2/3 turn it into mixed fraction

-10/6

then -10/6 + -1/6 = -11/6 and simplify and get -1 5/6

Hope this helps dude ! ^-^

The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 160 centimeters in 20 seconds.

What is the time in seconds the ant crawls when the total distance is 216 centimeters?


8 s

11 s

25 s

27 s

Answers

Answer:

27

Step-by-step explanation:

I did the math ;-;

Subtract.
6/12 - 3/10

Answers

Answer:

1/5

Step-by-step explanation:

yeah

Answer:

0.2

Step-by-step explanation:

Write the addition equation as a multiplication equation. 8 x 8 x 8 = 24

Answers

Answer:

8+8+8=24

Step-by-step explanation:

The answer is 8+8+8 because 8×3=24 and you would have to write 8 , 3 times. If you get what I mean.

The perimeter of a trianglular pool is 36
yards the length of two sides or 10 yards and 15 yards how long is the third side

Answers

Answer:

11 yard

Step-by-step explanation:

Let the 3rd side be 'a'.

Perimeter = 36

=> sum of sides = 36

=> 10 + 15 + a = 36

=> 25 + a = 36

=> a = 36 - 25

=> a = 11

Which expression is equivalent to 5y^3/(5y)^-2?
a. y^5
b. y^6
c. 125y^3
d. 125y^5

Answers

Answer:

I think the answer is D.

Step-by-step explanation:

[tex] \frac{ {5y}^{3} }{ {(5y)}^{ - 2} } \\ = \frac{ {5y}^{3} }{ {(\frac{1}{5y})}^{2} } \\ = {5y}^{3} \times {25y}^{2} \\ = 125 {y}^{5} [/tex]

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