If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
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
help me with this please
Plz hurry and help it’s not a texts it’s a study guide.
Answer:
I do not know the answer but I think it is (1,0) x (-3,4)
Step-by-step explanation:
Answer:
y = -2x -2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
What is the answer pls help
Answer:
a 180* clockwise rotation
Step-by-step explanation:
It is being flipped 180*.
-20x + 27? Can anyone
Answer:
-20x + 27
Step-by-step explanation:
it will remain the same
Answer:
you cant simplify or factorise it.
A is the midpoint of XY
A. find XA
B. Find AY and XY
The number of students in a chess club decreased from 40 to 19. What is the percent decrease? Round your answer to the nearest percent.
The percent decrease is
%.
True or False: Two negatives = a negative when adding and subtracting rational numbers.
Answer:
When subtracting rational numbers we follow the rules for subtracting integers. CHANGE the sign of the second number to the opposite, positive becomes negative, negative becomes positive
Step-by-step explanation:
Select the proper order from least to greatest pleas
Answer: B
Proof is 7/6 is more than a whole so it’s the greatest while 1/8 is the least then that leaves 2/3 and 9/10 and 9/10 is greater than 2/3 so the answer should be B
Answer:
Your picture is locked I would fix it but I dont know how.
Step-by-step explanation:
easy please help 8th grade math
Answer:
x ≥ 0
Step-by-step explanation:
hope that helps
Which fraction is BIGGER?
-7/10 or -4/5
Hello.
Negative numbers closest to 0 are the greatest.
-7/10 is farther away from 0 than -4/5 is.
-7/10 < -4/5, so -4/5 is the bigger fraction.
pls help me i’ll do anything and hurry time limit. f(x) = 9 - x. evaluate f(-1)
Answer:
f=x-9
Step-by-step explanation:
Answer:
f(x) = 10
Step-by-step explanation:
f(x)=9-x f(-1)
Put in the -1 for x
f(x) = 9 - (-1)
f(x) = 9 + 1
f(x) = 10
Hope this helps :)
during this year's basketball season, michael averaged 22.075 points per game. which numbers are less than 22.075
A) 21.9
B)22.08
C)23.06
D)22.07
E)22.079
Answer:
A) 21.9 and D) 22.07
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
22.075
A=0.175 less
B=0.005 more
C=0.985 more
D=0.005 less
E=0.004 more
If you were to sketch L_ PUT, what would the vertex be?
HELP!!!! Please it’s 6th grade!!
Carly wants to buy some fish to keep in her room. At a local pet store customers can pay
$12.50 for a fish tank and $0.20 for each fish they purchase.
a. What is the slope or rate of change in the situation described? Explain.
Answer:
12.50
Step-by-step explanation:
Im not completely sure on this but the answer is 12.50 because it states that the price for a fish tank is $12.50. So im pretty sure that the intercept is that.
The Slope here is $0.20 which represent cost of each fish.
What is Rate of Change?A rate of change is a rate that describes how one quantity changes in relation to another quantity.
Given that, Carly wants to buy some fish to keep in her room. At a local pet store, customers can pay $12.50 for a fish tank and $0.20 for each fish she purchased,
Let total cost be C, and total number of fish be n
According to question,
C = 12.50 + 0.20n
Hence, the slope 0.20 represents the change in total cost as the number of purchase of fish changes.
For more references on Rate of Change, click;
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A phone company charges a monthly rate of $60 and $0.10 per text sent . Tara sends 100 text messages this month . How much is her phone bill b, going to cost ?
Answer:
Taras phone bill will be 70 doll hairs.
Step-by-step explanation:
100x.10=10
10+60
70
hope this helps!!!
Answer:
70 dollars
Step-by-step explanation:
0.10 times 100 is 10 dollars. 60 plus 10 equals 70 dollars a
HURRY WILL GIVE BRAINIEST!!!!!
Simplifies each expression.
A.) 8^-2
B.)1/3^-3
C.)6^12*6^8*6^0
Answers:
a) [tex]\frac{1}{64}[/tex]
b) 27
c) [tex]6^{20}[/tex]
Is this graph a function?
Answer:
Depends; it is a function of y because each y value maps out to only 1 x value, but it is not a function of x, because for x = 3 y maps out to infinite values.
What expression is equivalent to x2 - 49?
OA (x - 72
O B. (x + 7)2
OC. (x+7)(x-7)
D. (x+7)(7 - x)
Answer:
the answer to that is letter C. (x+7)(x-7)
April has 196 stickers. Meredith has 3 times as many stickers. Use rounding to estimate the number of stickers that Meredith has.
Answer:
588 or 590if rounding to tens
Step-by-step explanation:
If x is direct proportional to y cube and x=32 when y=2
1. Find the value of x when y=6
2. Calculate the value of y when x=108
Answer:
1x=864,
2y=3
Step-by-step explanation:
y=6,x=?
if x is directly proportional to y^3 &if (when x=32, y is=2) we can understand that x=4y^3
1,x=4y^3
x=4(6^3)
x=4(216)
x=864
2,x=4y^3
108=4y^3
108/4=4y^3/4
27=y^3
√27=y
y=3
i think it is easy to understand,but if the answers are not clear you can ask me &i hope it helps you
Write an expression that is equivalent to three over four (5z+ 16).
Answer:
15/4 z + 12
Step-by-step explanation:
The sum of 3 fifteens and 17 fifteens in numbers and symbols
Answer: The sum of 3 fifteens and 17 fifteens is 3+17 = 20 fifteens. 20 fifteens can be expressed as 20 x 15 = 300.
Step-by-step explanation:
20 x 15 = 300.
Do you line the decimals when subtracting a decimal problem???
Answer: Yes
Yes, you always have to line the decimals when you subtract decimals.
Example:
0.65
-0.25
------------
0.45
Hope this helps!
GIVING BRAINLIEST AND MORE
Quotient is the result of dividing two numbers
Inverse operations is the opposite operations that undo one another
Dividend is the number being divided
Divisor is the number of parts that the dividend is being dividend into.
Answer:
# 1: Inverse Operations
# 2: Dividend
# 3: Divisor
# 4: Quotient
One example of consecutive odd integers would be 3, 5, 7, 9, ...
If the first consecutive odd integer is represented by x, which algebraic expression represents the second
consecutive odd integer?
____
Which expression represents the third consecutive odd integer?
____
The answers are
X+2
X+4
Answer:
1.) x+2
2.) x+4
Step-by-step explanation:
I got it right on Edge, hope this helps
The expression represents the second consecutive odd integer is X + 2
and for the third consecutive odd integer is X + 4.
What are integers?All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a set of integers is formed.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Given One example of consecutive odd integers would be 3, 5, 7, 9, ...
the difference between 2 consecutive numbers is
5 - 3 = 2
when X is the first odd integer,
the second consecutive odd integer is X + 2
difference between 3rd and first digit is
7 - 3 = 4
the third consecutive odd integer is X + 4
Hence adding the consecutive even numbers to the first digit of odd numbers gives the consecutive odd numbers.
Learn more about integers;
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How can credit cards be more secure than cash?
Answer:
carrying cash can be risky and theres a chance of loosing some. a card is thin and easy to carry around and keep track of.
Step-by-step explanation:
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
Answer
a= -6
Step-by-step explanation:
-2(a-3)=12
1.) -2(a)= -2a
2) -2(-3)= 6
3) -2a+6=12
-6 -6
4) -2a/-2 = 12/-2
a = -6
when sediment is transported down a mountain and along a stream we are seeing the conservation of what
Answer:
The answer is matter.