Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. ​ ​To the nearest foot, what is the distance Kimmy walks to school each day?

Answers

Answer 1

Answer:

1342 feet

Step-by-step explanation:

Kimmy's house is located at (8, 4)

The school entrance is located at (-4, -2).

To find the distance Kimmy walks to school every day, we use the Distance formula:

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

Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]

[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]


Related Questions

Which is the first step in simplifying the expression 2(x + 3) + 5?

Answers

Answer:

Step-by-step explanation:

Feel pleasure to help you.

Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?


$____

Answers

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

In an election of housing society,there are 30 voters.Each of them gives the vote.Three persons X,Y and Z are standing for post secretary.If Mr.X got 2/5 of the total votes and Me.Z got 1/4 of the total votes then how much did Mr.Y get?

Answers

Answer:

Mr Y got 10 votes

Step-by-step explanation:

The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.

Le us calculate the votes of each contestant

Mr X

He got 2/5 of the total votes

number of votes = 2/5 × 30

number of votes = 60/5

number of votes = 12

Mr Z

He got 1/4 of the total votes

number of votes = 1/4 × 30

number of votes = 30/4

number of votes = 1/4 × 30

number of votes = 7.5 ≈ 8 votes

Mr Y

The remaining votes will be 30 - 12 - 8 = 10 votes

Therefore,

Mr Y got 10 votes

Which function below represents exponential decay? ƒ( x) = 2(1.3) x ƒ( x) = 0.5(2) x ƒ( x) = (-3) x ƒ( x) = 4(0.25) x

Answers

Answer:

f(x) = 4 (0.25)ˣ

Step-by-step explanation:

If the growth factor is between 0 and 1, the function is exponential decay.

If the growth factor is greater than 1, the function is exponential growth.

What is the slope of the ramp shown in the diagram below?

Answers

Answer:

Step-by-step explanation:

slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A

The slope is negative as the ramp slopes down from left to right

The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a diagram of a ramp.

It can be picturized as a right angled triangle.

We know that,

Slope = Change in y coordinates / change in x coordinates.

Horizontal distance = change in x coordinates = 10

Vertical distance = change in y coordinates = 3

Substituting,

Slope = 3/10

Hence the slope of the ramp is 3/10.

Learn more about Slope here :

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An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.

HELP!!!!!!!

Answers

Answer:

first class section has  14 Seats

Seat used = (5/7) * 14 = 10 Seats

Business class Section has 64 Seats

Seats used = (5/16) * 64 = 20 Seats

Economy class Section has 4 * 108 = 432 Seats

Seats used = (5/9) * 432 = 240 Seats

Total Seats = 14 + 64 + 432 = 510

Total Seats Used = 10 + 20 + 240 = 270

270/510  = 270 ( 2 * 255)   >  1/2

Yes , more than half of the seats being used

Step-by-step explanation:

Find the vertical asymptotes.
Simplify fractions and leave in improper form.
3x2 + 17x + 10
y =
6x2 - 11x + 4
X =
Ž, x =
4
[?]

Answers

Answer:

x1 = 4/3, x2 = 1/2

Value to fill in the question mark: 3

Step-by-step explanation:

The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.

So, to find the asymptotes, we need to calculate:

[tex]6x^{2} - 11x + 4 = 0[/tex]

Using Bhaskara's formula. we have:

[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]

[tex]\sqrt{\Delta} = 5[/tex]

[tex]x_1 = (11 + 5)/12 = 4/3[/tex]

[tex]x_2 = (11 - 5)/12 = 1/2[/tex]

So the value we need to fill in the question mark is 3

Find the measure of the arc.

146°E

mFD =

Answers

Answer:

124

Step-by-step explanation:

A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,

[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]

Thus, the measure of the arc mFD is 124°.

Learn more about Circle:

https://brainly.com/question/11833983

For each sequence, find the first 4 terms of a sequence:

a) n²+3
b) 2n²

Answers

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms

Answer:

a) 4, 7, 12, 19

b) 2, 8, 18, 32

Step-by-step explanation:

In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :

[tex]a) {n}^{2} + 3[/tex]

[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]

[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]

[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]

[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]

[tex]b)2 {n}^{2} [/tex]

[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]

[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]

[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]

[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]

Help please :/.

What is the surface area of a cube where the length of each edge is 4 feet?

A) 12 sq ft
B) 24 sq ft
C) 64 sq ft
D) 96 sq ft

Answers

Answer:

the answer is 96 square feet

you could use

4×4=16

then times how many rectangle you have which is 6

What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)

Answers

Step-by-step explanation:

4(3x-2) + 6x(2-1)

10x + 11x

21x

Answer:

18x - 8

Step-by-step explanation:

find the number of regular tiles each of 8 cm by 6 cm that need to be fitted into a rectangular floor of 3.6 m by 2.4 m

Answers

Answer: 18 tiles

Step-by-step explanation:

Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.

Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m

No. Of tiles that can fit the floor =

8.64 / 0.48 = 18

Classify the following triangle. Check all that apply.

Answers

E. and F. it has two congruent sides and has an obtuse angle
E and F: it had an obtuse angle along with 2 congruent sides

I need to know this problem cause I need to finish summer school

Answers

Answer:

27

Step-by-step explanation:

#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.

I see that you are in high school. Im in 7th grade and i can do this lol.

a car is drawn with a scale of 1 in: 4 yards. find the actual length of the car if the drawing if the car has a length= 3in

Answers

Answer:

So since you have the ratio of 1 : 4

we need to find 3 : x

since 1*3 = 3. We multiply all by 3

4*3 =12.

Answer is 12

What point is located 4 points from point M?

A. Point A


B. Point B


C. Point C


D. x-axis


E. y-axis

Answers

A. Point A. If you count (9,0) in the x axis you find Point A 4 points away from M

If the regular recipe that makes 14 pancakes calls for 1 cup of milk, how many cups should I use to make 21 pancakes? Group of answer choices 1 cup 2 cups 0.5 cups 1.5 cups

Answers

Answer:

x = 1 1/2 cups

1.5 cups

Step-by-step explanation:

We can use ratios to solve

14 pancakes        21 pancakes

------------------ = ------------

1 cup                  x cups

Using cross products

14x = 21*1

Divide each side by 14

14x/14 = 21/14

x = 3/2

x = 1 1/2 cups

How do I solve this problem??

Answers

Answer:

3/10 m^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and then divide that by 2

2/5 × 3/2 ÷ 2 = 3/10

A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.

Answers

Answer:

L+6=W

Step-by-step explanation:

Answer:

4w + 12

Step-by-step explanation:

w + (w+6) + w + (w+6) = 4w + 12

for perimeter you add all the sided together

w = width

w + 6= length

A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?

Answers

Answer:

Density = 13.57 g/cm³

Step-by-step explanation:

▪Volume = 3 cm³

▪Mass = 40.7 grams.

▪Density (p) = Mass (m) ÷ Volume (v)

p = m ÷ v

p = 40.7 ÷ 3

p = 13.56666

p = 13.57 g/cm³

Can someone please help me I’m stuck I don’t know what to do

Answers

Answer: its the 2nd one

Step-by-step explanation:

The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108. Which best describes the data set? It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate. It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change. It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change.

Answers

Answer: C. I hope this helps ❤️.

Answer:

the correct answer is c

Step-by-step explanation:

help me for brainetest pls answer on paper on a number line

Answers

Answer:

10 5/8

Step-by-step explanation:

Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the distance from point P to point R. 4.9 4.7 2.5 2.3

Answers

Answer:

5.1

Step-by-step explanation:

Before we calculate  the y value for the point Q that is located two thirds the distance from point P to point R, we need to get the distance of point p from point R using the formula for calculatingf the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given P(−2, 7), and R(1, 0)

RP = √(1-(-2))²+(0-7)²

RP = √3²+(-7)²

RP = √9+49

RP =√58

To get the y value for point Q that is located two thirds the distance from point P to point R, this will give

PQ = y = 2/3 of √58

= 5.1

Answer: I Believe its 2.3

Step-by-step explanation:

P is located at (-2,7)

R is located at (1,0)

Look at the y coordinates

P(-2,7)  R(1,0)

7 to 0= distance of 7

multiply 2/3 by 7 = 4.7      (it was originally 4.666666665 but i couldnt find the answer with just 4.6 so i rounded it to 4.7)

Now plug in the info we know:

.y axis = 7 - 4.7 = 2.3

Hope this helped! Im taking the test and ill be back if this is wrong

Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8

Answers

Answer:

[tex]-5[/tex]

Step-by-step explanation:

[tex]3x+4=-5y+8\\9x+11y=-8[/tex]

Rearrange the first equation and substitute it into the second equation.

[tex]3x=-5y+8-4\\3x=-5y-4[/tex]

(as we want 9x instead of 3x we are going to multiply this equation by 3)

[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]

Rearrange the first equation and substitute in our y value to solve for x.

[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]

Hence

[tex]y-x=-1-4=-5[/tex]

Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour? I need the answer as a fraction.

Answers

Answer:

He can ride his bike 5/34 of a mile per hour.

Step-by-step explanation:

If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.

What is the length of AC? And Length of AB?

Answers

Answer:

The length of AC is 5 units. The length of AB is 3 units.

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST
What is the location of A on the decimal number line below?


Write your answer as a decimal.

Answers

Answer:

  2.6

Step-by-step explanation:

A is after the 6th of 10 spaces between 2 and 3. It has the value 2 +6/10 = 2.6.

This is the graph of f(x). Wha is the value of f(2)

Answers

Answer: 2

Step-by-step explanation:

They are saying that x equals 2, and the question is what the function is defined at when x = 2

Going to x = 2, the y value is just 2

The answer is 4.

f(2)=4

A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?

Answers

Answer:

10000 ml

Step-by-step explanation:

1 liter =1000 ml

15 -5 = 10

10 * 1000= 10000

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