Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.




The distance is about

miles.

Each Unit In The Coordinate Plane Corresponds To 1 Mile. Find The Distance From The Stadium To Pine Avenue.

Answers

Answer 1

The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)

The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.

We know the location of the stadium, [tex]S=(-6,6)[/tex]

The point of intersection can be obtained by solving the simultaneous equations

[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]

since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]

[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]

Substitute this value of [tex]x[/tex], into the equation for Pine avenue

[tex]y-2x-12\\=2(6)-12\\=0[/tex]

The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]

To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,

[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]

The distance is [tex]13.4miles[/tex]

Learn more about coordinate geometry here: https://brainly.com/question/15318780


Related Questions

Answer two questions

Answers

Answer:

3) a = 9

4) v = 16

Step-by-step explanation:

Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.

Problem 3

First, let's distribute the 5 onto both terms in the parentheses.

5(a - 3) = 30

5(a) - 5(3) = 30

5a - 15 = 30

Next, we can add 15 to both sides to isolate a.

5a - 15 = 30

5a = 45

Finally, divide both sides by 5 to find the value of a.

5a = 45

a = 9

Problem 4

First, let's remove 2 from both sides of the equation.

v/2 + 2 = 10

v/2 = 8

Then, we can multiply both sides by 2 to find the value of v.

v/2 = 8

v = 16

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]

[tex]\huge\text{NUMBER 2}[/tex]

[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=

Answers

Answer:

i think 1/2(6x-10)-x = 2x-5

Headlights must be used from:

-Sunset to sunrise.

Answers

Answer:

Step-by-step explanation:

ok

Combine the like terms to create an equivalent expression.
large 9p+3p

Answers

Answer:

12p

Step-by-step explanation:

9p+3p=12p

2. 52,000 people attended a concert. Main floor tickets cost $25 each and upper-level tickets
were $12 each. A total of $1,144,000 worth of tickets were sold. How many upper level
tickets were sold?

Answers

Answer:

x (upper level) = 12,000 tickets

Step-by-step explanation:

Firstly, let's convert this gibberish text into the information we want. :D

Total amount of people = 52,000

Main floor tickets = $25 each

Total: $1,144,000

Let the amount of people who brought upper level tickets be x and main floor tickets be y. (assumming 1 ticket = 1 person)

Thus, we come up with this simultaneous equation:

[tex]12x + 25y = 1,144,000\\x + y = 52,000[/tex]

The first equation finds the price of the ticket, while the second is the amount of people.

x (upper level) = 12,000

y = 40,000

Hope this helps! :)

How i can answer this question

Answers

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Why were people concerned with the East India Tea's Company monopoly over the

tea industry?

Answers

Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation:

Solve the following system of equations graphically.
y=3x+4
y=-2x-5

Answers

Answer:

 (x, y) = (-1.8, -1.4)

Step-by-step explanation:

explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.

20.2 miles > 17.6 miles

//also don't send scam links​

Answers

The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2  miles is greater than 17.6 miles"

In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.

So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"

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sum of three consecutive odd numbers is 177. find the number
HINT : let the numbers be x , x+2 and x+4

Answers

x=57

Step-by-step explanation:

x+x+2+x+4=177

3x+6=177

3x=177-6

3x=171

x=57

Therefore the three consecutive numbers are:

57;59;61

Which correlation coefficient best matches the graph?

Answers

Answer:

Which graph?

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

umm i dont know how to answer

Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length ​

Answers

Answer: c = 6.5I

Step-by-step explanation:

C = the cost of the fabric

I = the length of the fabric

C : I = 13 : 2

C : I = 32.50 : 5

C : I = 6.5

C = 6.5I

Which equation has a unite rate of 0.5

Answers

Answer:

r=0.5d

Step-by-step explanation:

Need help ppl keep givin me links

Answers

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Evaluate the expression when B = -4 and C = 6
C-8B

Answers

Start by plugging in the variable. I suggest putting the numbers in parenthesis to make sure you don’t miss any negatives.

(6) -8(-4)

-8*-4 = 32
6+32 = 38

Remember PEMDAA

Find and b. A 110 B 40° с D ​

Answers

Answer:

a: 70 degrees, b: 140 degrees

Step-by-step explanation:

Each of the sets of angles must add up to 180 degrees.

180 - 110 = 70

180 - 40 = 140

Aisha is playing a game in which she can gain or lose points on each turn. The table below shows the points she scores on each of four turns in the game. Aisha states that her highest score is on turn 3, because 16 is greater than 3, 10, or 9. Use the drop down menus to explain Aisha’s mistake. Please help.

Answers

Answer:

Step-by-step explanation:

pls pls pls pls help

Answers

I think the answer is 2

help help help help help help help help

Answers

Answer:

necklace

Step-by-step explanation:

It is the only one with a negative elevation

carl ordered a refrigerator that weigh 192 pounds

Answers

Answer: good for him... how much did he spend on it?

A system of linear equations includes the line that is created by the equation y = 0. 5 x minus 1 and the line through the points (3, 1) and (â€"5, â€"7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (â€"6, â€"4) (0, â€"1) (0, â€"2) (2, 0).

Answers

The solution to the system of equations is (2,0)

The equation is given as:

[tex]y = 0.5x - 1[/tex]

The other equation passes through the points (3,1) and (-5,-7).

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-7 - 1}{-5 -3}[/tex]

[tex]m = \frac{-8}{-8}[/tex]

[tex]m =1[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 1(x -3) + 1[/tex]

[tex]y = x -3 + 1[/tex]

[tex]y = x -2[/tex]

Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]

[tex]x- 2 =0.5x - 1[/tex]

Collect like terms

[tex]x-0.5x= 2 - 1[/tex]

[tex]0.5x= 1[/tex]

Divide both sides by 0.5

[tex]x= 2[/tex]

Substitute 2 for x in [tex]y = 0.5x - 1[/tex]

So, we have:

[tex]y = 0.5\times 2 - 1[/tex]

[tex]y = 1 - 1[/tex]

[tex]y = 0[/tex]

So, we have:

[tex](x,y) =(2,0)[/tex]

Hence, the solution to the system of equations is (2,0)

Read more about systems of equations at:

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Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Hint: Write a formula to help you.
1st term + common difference(desired term - 1)

Answers

Answer:

45

Step-by-step explanation:

The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.

Please mark brainliest I really need it

Answer:

43 I think that is the Answer

Answer:

2(x + 3) + 4(9x + 8) = ?

Answers

Answer:

38x + 38

Step-by-step explanation:


The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

Answer:

Step-by-step explanation:

y = 5x is the reference line (as best as I can interpret " y = 5* - .").

We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.

Parallel lines will have the same slope as the reference line, in this case m=5.  Our new line will take the form of y=5x+b.  An important difference is that the new line must go through (2,6).  We need to find a value of b that will make that work.

Use y=5x + b with point (2,6) and solve for b:

6 = 5*(2) + b

b = -4

The line that is parallel to y=5x and goes through the point (2,6) is thus:

y = 5x - 4

See the attachment.

The equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

What is the general equation of a straight line?

The general equation of a straight line is of the form -

y = mx + b

where -

[m] is slope of line

[b] is y - intercept

Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).

The equation of line [d] in the slope intercept form can be derived as follows -

Slope of line [c] = Slope of line [d]  (parallel lines)

m[d] = 5

Assume the equation of line [d] as -

y = m[d]x + b

6 = 5 x 2 + b

b = 6 - 10

b = - 4

The equation will be -

y = 5x - 4

Therefore, the equation of line [d] in the slope intercept form can be written as -

y = 5x - 4

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/22038782

#SPJ1

Write the expanded form of the expression.

3(4x - 6) =

Answers

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?

Answers

Answer:

242.9 grams

Step-by-step explanation:

Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams

How do I solve this? ​

Answers

C) 18 minutes
This is because each sparkler takes 2 minutes to burn so 10 * 120 = 1200 seconds, then 120 / 0.10 = 12 (which is the 10th of the 2 minutes) now we do 12 * 10 = 120 to get the cut time from lighting a match after a tenth remained. now since we have that we do 1200 - 120 and get 1080 seconds and that is the total time n seconds of the burning matches, now we convert it to minutes by doing 1080 / 60 and get 18.
hope this is helpful!

BRAINLIEST FIRST CORRECT ANSWER!

The list shows the ages of first-year teachers in one school system. What is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55

A.) 51


B.) 24


C.) 23

Answers

Answer:

23 is the answer of this question

Step-by-step explanation:

bye

Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3

Please help, I dont know how to get the other angle measurement.

Answers

Answer:

Angle E is 88º

Step-by-step explanation:

If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.

Can someone help please !

Answers

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].

Solve for the 4th root of 16.

16=4*4=(2*2)(2*2)=2

2

just trust me please
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