If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answers
Answer:
36.16 miles
Step-by-step explanation:
A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
Answer:
The distance between two points X([tex]x_1,y_1[/tex]) and Y[tex](x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the image attached, the coordinates of the plane are:
A(-1, -1), B(1, -1), C(5, 2), D(0, 13), E(-5, 2).
The lengths are:
[tex]|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units[/tex]
But 1 mile = 1 unit
Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles
Related Questions
Answer the question in the photo
Answers
Hope this help.
Please leave a Thank.
12 labourers can complete a peice of work in 72 days.How many men will be required to do the same work in 54 days?
Answers
Answer:
answer will be 16 days-----------------------------------------------
Step-by-step explanation:
12 labour can complete the work in 72 days
so. 1 labour---------------------------------12×72
so. 54 labour--------------------------------- 864/54=16
??????????????????????????
Answers
Answer:
Seconds in second row: 48Glasses in third row: 11Step-by-step explanation:
Answer for seconds in second row:
Set up a proportion: [tex]\frac{5}{20} = \frac{12}{x}[/tex] Cross multiply, then divide: 20 × 12 = 240, 240 ÷ 5 = 48Answer for glasses in third row:
Set up a proportion: [tex]\frac{5}{20} = \frac{x}{44}[/tex] Cross multiply, then divide: 44 × 5 = 220, 220 ÷ 20 = 11I hope this helps!
Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (1,8)
(Please help me)
Answers
Answer:
y= 4x +4
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 4, m= 4.
Substitute m= 4 into the equation:
y= 4x +c
To find the value of c, substitute a pair of coordinates.
When x= 1, y= 8,
8= 4(1) +c
8= 4 +c
c= 8 -4 (-4 on both sides)
c= 4 (simplify)
Thus, the equation is y= 4x +4.
14/27 divided by 2/3 soo can someone help me and maybe give me the answer
Answers
Answer: 9/7
Step-by-step explanation:
In a certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it contain?
Answers
Answer:
760-19
x-3
x=760*3=2280
2280/19=120g of zinc
Step-by-step explanation:
The dimensions of a rectangular monitor screen are such that it's length is 5 in. More than it's width. If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in^2. What are the length and width of the screen?
Answers
Given:
Length of a rectangular monitor screen is 5 in more than it's width.
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
To find:
The length and width of the screen.
Solution:
Let width of the screen be x inches.
Length of a rectangular monitor screen is 5 in more than it's width. So,
Length of screen = (x+5) inches
Area of screen is
[tex]Area=length\times width[/tex]
[tex]A_1=(x+5)\times x[/tex]
[tex]A_1=x^2+5x\text{ in}^2[/tex]
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
New length = 2(x+5) inches
New width = (x-1) inches
So, new area is
[tex]A_2=2(x+5)(x-1)[/tex]
[tex]A_2=(2x+10)(x-1)[/tex]
[tex]A_2=2x^2+10x-2x-10[/tex]
[tex]A_2=2x^2+8x-10 \text{ in}^2[/tex]
Area increased by 170 in².
[tex]A_2-A_1=170[/tex]
[tex](2x^2+8x-10)-(x^2+5x)=170[/tex]
[tex]2x^2+8x-10-x^2-5x=170[/tex]
[tex]x^2+3x-10=170[/tex]
Subtract 170 from both sides.
[tex]x^2+3x-10-170=0[/tex]
[tex]x^2+3x-180=0[/tex]
Splitting the middle term, we get
[tex]x^2+15x-12x-180=0[/tex]
[tex]x(x+15)-12(x+15)=0[/tex]
[tex](x+15)(x-12)=0[/tex]
[tex]x=-15,12[/tex]
Width cannot be negative. So, x=12.
Width = 12 inches
Length = 12+5 = 17 inches
Therefore, the length of screen is 17 inches and width is 12 inches.
(x²+7x+10) =
whats the answer help me plsss:(
Answers
Answer:
(х+2)(х+5)
Step-by-step explanation:
easy, just train quadratic equations ;)
The sum of three consecutive numbers is 519. What are the three numbers?
Answers
Answer:
El primer número llamaremos = x
El segundo número llamaremos = x + 1
El tercer número llamaremos = x + 2
Calculamos
x + (x + 1) + (x + 2) = 519
x + x + 1 + x + 2 = 519
x + x + x + 1 + 2 = 519
3x + 3 = 519
3x = 519 - 3
3x = 516
x = 516/3
x = 172
El valor de "x" lo reemplazamos en: (x + 1 y x + 2)
x + 1 = 172 + 1 = 173
x + 2 = 172 + 2 = 174
Respuesta.
Los números son: 172, 173 y 174
172 + 173 + 174 = 519
f(x)=4x^5-8x^4-5x^3+10x^2+x-2
Use the rational zero test to find all possible rational zeros of f, separate with commas if needed. I already tried (2x+1)(2x-1)(x+1)(x-1)(x-2) and WebAssign says it’s incorrect.
Answers
Answer:
-1; -1/2; 1/2; 1; 2 or factors of -2 are -1, 2, 1, -2
factors of 4 are 1, 4, 2, -1, -4, -2
possible zeros are -1, 1, 1/2, -1/2
try 1
Step-by-step explanation:
NEED YOU GUYS HELP ONCE AGAIN!!
Answers
Answer:50
Step-by-step explanation:
SHOW ALL WORK!!!
1.
Find the distance between (-4,-2) & (4,4)
Answers
Answer:
Step-by-step explanation:
Bastian was able to map triangle ABC onto triangle A'B'C' using a reflection, rotation, and a dilation. Then Bastian concluded that he was able to map triangle ABC onto triangle A'B'C' using a sequence of rigid transformations and dilations, so the triangles are similar. What error did Bastian make in his conclusion?
Bastian used a rotation, so the triangles aren't similar.
Bastian used a combination of similarity transformations, which can produce a non-similar result.
There is no error. This is a correct conclusion.
Bastian used a dilation, which does not preserve similarity.
Answers
hope this helped
What is the solution for x 10x-3x+8=-3+7x+11
Answers
Answer:
there is not a solution to this equation
Step-by-step explanation:
10x - 3x + 8 = -3 + 7x + 11
simplify
7x + 8 = 8 + 7x
there is not a solution to this equation
Answer:
x=2
Step-by-step explanation:
add the x's on one side and then subtract it by 7x. (10x- 7x)
then -3 + 11=8
8-8=0
transfer 2 to the other side x=2
Tarah collected 254 cans of food for the food drive. Ana collected 421 cans of food for the food drive. The
1
girls decided to combine their cans of food and donate to the local food bank. They donated 60% of the
remaining cans of food to the homeless shelter. How many cans of food do they have left over to
donate?
Answers
Answer:
270 is the awnser
If ABC has vertices A (3,-1), B (2, 1), and C(5,3), find vertices of its image A'B'C'
after dilation with a scale factor of 2 about the origin.
OA) A (3/2, 1/2), B'(1,1/2), C'15/2,3/5)
OB) A 16, -2), B'(4,2), C (10, 6)
OC) A (6,2), B (4, 2), C'(10, 6)
OD) A (6,2), B (2, 2), C'(10, 6)
Answers
Answer:
d
Step-by-step explanation:
The vertices of image A'B'C' after dilation with a scale factor of 2 about the origin are , A' (6, -2), B' (4,2), and C' (10, 6).
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
ABC has vertices A (3, -1), B (2, 1), and C(5, 3).
Now, After dilation with a scale factor of 2 about the origin the vertices of A', B' and C' are,
A' = 2 × (3, - 1)
= (6, - 2)
B' = 2 × (2, 1)
= (4, 2)
C' = 2 × (5, 3)
= (10, 6)
Learn more about the multiplication visit:
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Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm
A. yes
B. no
Answers
Answer:
yes
Step-by-step explanation:
In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].
[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]
400+441 should equal 841
So yes, the lengths make a right triange.
Solve for r
n(17 + r)= 34r – r
Answers
Answer:
17n/33-n is the answer
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x 5y 15. What is the equation of the parallel northbound track that runs through the point (4, -2)?
Answers
Answer:
2x+5y=-15
Step-by-step explanation:
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
After swimming 80 feet below the surface of the water, a whale swims up 40 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.
A) The equation is -80 + (-40) = -120. The whale is 120 ft below the water's surface.
B) The equation is -80 + 40 = -40. The whale is 40 ft below the water's surface.
C) The equation is -80 + (-40) = -40. The whale is 40 ft below the water's surface.
D) The equation is -80 + 40 = -120. The whale is 120 ft below the water's surface.
Answers
Answer:
the answer is d
Step-by-step explanation:
he swims 80 feet below so thats gonna be a negative number. he then swims up 40 feet so you would be adding . so -80+ 40 = -120
The new location of the whale in relation to the equation of water's surface is -80 + 40 = -120 which correct option (D)
What is equation?
Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers are equal.
Whale swims 80 ft below so it be a negative number.
Whale then swims up 40 ft so would be adding .
When the whale is 120 ft below the water's surface so it be a negative number.
-80+ 40 = -120
Hence, the new location of the whale in relation to the equation of water's surface is -80 + 40 = -120
Learn more about equation
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Write a real-world situation that can be modeled by the equation 1/3x+10=3/5x
Answers
Answer:
One-third of Leah's weekly paycheck plus $10 = three-fifths of her check.
What is her weekly pay? or 1/3 of a handyman’s fee plus an extra fee of 10 dollars for showing up, which is equal to 3/5 o his fee altogether. What is his fee in all with the extra fee
A package of 5 pairs of insulated gloves costs $35.95 What is the unit price of the pairs of gloves?
Answers
Answer:
$7.19 a pair
Step-by-step explanation:
35.95/5 = 7.19
Answer:
$7.19
Step-by-step explanation:
$35.95 / 5 = $7.19
BRAINLIEST ANSWER!! NEED HELP ASAP!
Answers
Answer:
1. 30(8.75) + 11t = 400
2. 12.5 hours
Step-by-step explanation:
1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.
30 hours and $8.75 an hour would be equivalent to 30(8.75)
We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t
Finally, you want to earn a total of $400 a week, which means the sum equals 400
30(8.75) + 11t = 400
2. 30(8.75) = 262.5
400 - 262.5 = 137.5
137.5 / 11 = 12.5
For the following square, find the value of x after that Find the length of each side of the square above. Be sure to label your answer and then Find the perimeter of the square above. Make sure to label your answer Please i need help fast or else im gonna fail my class please take this seriously.
Answers
Answer:
x = 9 ; 39 in. ; 156 in.
Step-by-step explanation:
Because it is a square, we know that all 4 sides are equal to each other.
This means we can take the two expressions and equal them to each other.
4x + 3 = 3(2x - 5)
4x + 3 = 6x - 15
-2x + 3 = -15
-2x = -18
x = 9
Now that we know the value of x, we can substitute it in to find the side length.
4(9) + 3
36 + 3
39 in.
Therefore, each side of the square is 39 in.
Finally, since we know all the side lengths are 39, we can find the perimeter by adding up all 4 side lengths.
p = 4(39) = 156 in.
Therefore, the perimeter of the square is 156 in.
answer and I’ll leave a good review
Answers
Answer:
d
Step-by-step explanation:
g
Answer:
C
Step-by-step explanation:
They are all more in the modern era
what is the image (-2,-5) after a dilation by a scale factor of 2 centered at the origin
Answers
Answer:
Step-by-step explanation: (-4,-10)
The island has 600 bikes and 900 people. What is the bike to person ratio?
Answers
Write the slope-intercept form of the equation of each line.
11x + 8y = -45
Answers
Answer:
y= -11x/8 - 45/8
Step-by-step explanation:
Write this equation in slope intercept form:
y= mx + b
11x + 8y = -45
8y= -11-45
y= -11x/8 - 45/8
Hope this helps :)
give a numerical example that shows these are not the same expressions. 2(n+5) and 2n+5
Answers
Answer:
The two are different expressions because when you distibute, you multiply all terms inside the parenthesis with the 2 in the first one: 2(n+5) = 2n + 10.
2n + 10 ≠ 2n + 5.
Step-by-step explanation:
Answer: Any number that isn’t 1, 2, -1, or -2 I believe.
Step-by-step explanation: In the first expression, you have to distribute the 2, making it equal to 2n + 10, whereas the first is just 2n + 5.
For example if you were to plug the number 3 into this, you would have 2(3+5), which is 2(8) = 16. Versus the other side, 2(3)+5 = 11
The weight of a person in pounds.
1293
Answers
Answer:
if 1293 is ounces, 80.8125 would be lbs !!
Step-by-step explanation:
Answer:
h
Step-by-step explanation: