The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.How many miles longer is Trail A than Trail B?
Answers
The length of the trails can be determined be using a formula related to
Pythagorean theorem, which makes use of the rise and run of a trail.
The number of miles longer Trail A is than Trail B is 4 milesReasons:
The location of the park = (1, 9)
The stating point of Trail A = (-7, -6)
Starting point of Trail B = (6, -3)
The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;
[tex]Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}}[/tex]
Therefore;
[tex]Length \ of \ trail, \ A = \sqrt{\left (1-(-7) \right )^{2}+\left (9-(-6) \right )^{2}} = \mathbf{17}[/tex]
[tex]Length \ of \ trail, \ B = \sqrt{\left (1-6 \right )^{2}+\left (9-(-3) \right )^{2}} = \mathbf{13}[/tex]
The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles
Therefore;
Trail A is 4 miles longer than Trail B
Learn more about finding the distance between two points on a graph here:
https://brainly.com/question/9917504
Related Questions
Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
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C.
y = x + 12
D.
y = x - 12
E. y = 1
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Answers
Answer:
Please check your post. I did the best I could.
Step-by-step explanation:
A. y = 2x 4 = 2*(16)? Nope
B. y=x? I don't understand the equation: y = x? 2 = x?????
C. y = x + 12 4 = 16 + 12? Nope
D. y = x - 12 Same???
E. y = 1 x 4 = 16? Nope
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.
Answers
take out a zero on both top and bottom
420/7
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= 60
Hope this helps!
Brainliest and a like is much appreciated
A line passes through the point -10,9 and has a slope of 1/2. Write an equation in slope-intercept form for this line
Answers
Answer:
Step-by-step explanation:
The slope intercept form of an equation of a line is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Since the slope is (1/2), we can write:
y = (1/2)x + b
We want a value of b such that it forces the line to go through point (-10,9). Enter that point in the equation and solve for b:
y = (1/2)x + b
9 = (1/2)*(-10) + b
9 = -5 + b
b = 14
The eqyuation of a line with a slope of (1/2) and goes through point (-10,9) is:
y = (1/2)x + 14
See attachment.
Four movie tickets cost $30.00. Each ticket cost the same amounts.what was the cost of each tickets in dollars and cents
Answers
Answer: $7 and 50 cents
Four movie tickets cost $30.00
1 movie ticket will cost 30.00/4 = $7.50
$7.50
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A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?
Answers
Answer:
$24,000
Step-by-step explanation:
The difference for principal amount P is ...
(8% × P) - (7 3/4% × P) = $60
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The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of m?
Answers
Answer:
m = 3
Step-by-step explanation:
Slope of first one is -1/3
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Answer:
Given the equation line 4x+12y=8
Step-by-step explanation:
The equation is y=mx+5y=mx+5
The line passes through A(3,14)A(3,14)
Putting (x,y)=(3,14)(x,y)=(3,14), we have…
14=3m+514=3m+5
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⟹m=3
the two-way table shows information about the subjects studied
Answers
Answer:
a) 62
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Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
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b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
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Answers
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
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Answers
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Answer:
C
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Slope intercept form is Y = Mx + b
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If each quadrilateral below is a square, find the missing measures
solve for X
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Answer:
i think x = 18.5
Step-by-step explanation:
6x-21 = 90°
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Answer:
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Answer:
t<28 Tia ran the race under 28 seconds
t>28 The temperature is warmer than 28°F
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Step-by-step explanation:
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Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
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Answers
Answer:
12
Step-by-step explanation:
if h=5
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[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
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Answers
Answer:
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Step-by-step explanation:
[tex]5 * (-6 / -1+ -10)[/tex]
According to PEMDAS, we need to do the math in the parentheses first.
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Answers
Answer:
check online for more information
Answer:
Check online for more informations.
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Answer:
the volume of cylinder = πr²h
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= π × 6 × 6 × 5
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Answer
If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45
Please help question in pic
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Answer:
7,3
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Answer:
[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]
Step-by-step explanation:
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Answer:
64 once bottle for $5.05
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Answers
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
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We know p2≥0 for all values of p
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Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.
Answers
Answer:
thanks
Step-by-step explanation:
Answer:1- $52 {40+12(1)=}
5- $100 {40+12(5)=}
10 - $160 {40+12(10)=}
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nolan is taking a multiple choice test his grade is given by the equation y=70-2x where y represents his final score and x represents the number of questions he got wrong . waht could the number 70 represents in the equation?
Answers
Answer:
70 could represent the total number of points nolan can earn on the test
Step-by-step explanation:
1/2 - (-1/3 + 2/5)
please help?
Answers
1/2-(-1/3+2/5)
= 1/2-(-0.33333333333333+2/5)
= 1/2-(-0.33333333333333+0.4)
= 1/2-(0.066666666666667)
= 1/2-0.066666666666667
= 0.5-0.066666666666667
= 0.43333333333333
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Step-by-step explanation:
Just add and subtract them.
Correct me if I am incorrect.
HELP!! BRAINLIEST!! +15 POINTS!! REAL ANSWERS ONLY PLEASE
Answers
Solve 54=y−14. i need help anything helps.
Answers
Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
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68=y
BRAINLIEST
Please solve