Sarah is going from home to school then to the library to study and finally to the part to meet with friends before going home. Find the distance Sarah will travel today based on the locations of each stop on the coordinate plane. Include:
Distances between all 4 locations
Total distance
The method used for each calculation
Sarah’s house (2,-5)
The school (2,4)
Library (-3,4)
Park (-3,-5)
Answer:
i) The distance between Sarah's house and the school is 9
ii) The distance between the school and the library is 5
iii) The distance between the library and the park is 9
iv) The distance between the park and Sarah's house is 5
2) The total distance Sarah travels is 28
Step-by-step explanation:
The given coordinates of the locations are;
Sarah's house (2, -5)
The school (2, 4)
Library (-3, 4)
Park (-3, -5)
Sarah's journey is; From the house → The school → Library → Park → House
The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;
d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9
Sarah's house → The school = 9
ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5
The school → Library = 5
iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9
The library → The park = 9
iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5
The park → Sarah's house → 5
2) The total distance = 9 + 5 + 9 + 5 = 28.
The median observation are arranged in ascending are 72,74,75,5x-10,3x+30,85,88,94.If the median mark is 82 ,find the value of x
Step-by-step explanation:
The position of the median of an even data set is 1/2(8+1)=4.5
That is between two values, 4 and 5.
(5x-10+3x+30)/2=82
(8x+20)/2=82
(8x+20)=41
8x=41-20
8x=21
x=21/8
If there are 3000 people in a room, what is the probability they have watched a video with 80k views?
Answer:
The answer is 26.667 ..
Step-by-step explanation:
80k/3000
How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these
Answer:
B. {All numbers less than 2}
Step-by-step explanation:
X + 5 < 7
Subtract 5 from each side
X + 5-5 < 7-5
x<2
All numbers less than 2
Menus eusvtagebisvsuveudysvs sieue rjeuysvudg duty’s itteveh help
Answer:
13+12+5/2
Step-by-step explanation:
solv it answer will come
Answer:
12×5=60
1/2×4×12=24
24×2=48
60+48=108
=108cm²
find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)
Answer:
4!
Step-by-step explanation:
In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.
So, we have to put vowels at each even position; only then the condition will be satisfied.
We can put this in 3! ways (permutations of A, I & U).
For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).
Hence, the answer is 4!/3! x 3! = 24 ways.
24=4!.
PLEASE HELP!!! Bring the fraction:
b/7a^2c to a denominator of 35a^3c^3
a/a-4 to a denominator of 16-a^2
I think this should be the answer
Someone please help me PLEASE.
With explanations.
Answer:
hlo
buddy
msg me on
navneet175285
Step-by-step explanation:
njkmmnu
Barry bought 3.28 pounds of cashews. Danielle bought 1.97 pounds of
cashews. How many more pounds of cashews did Barry buy than Danielle?
Answer:
1.31
Step-by-step explanation:
3.28 - 1.97
The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980. What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.
Answer:
Step-by-step explanation:
1985:
x = 5 years ( 1980 to 1985- 5 years)
0.142x + 1.93 = 0.142*5 + 1.93
= 0.71 + 1.93
= $ 2.64
1999:
x = 19 years
0.142x + 1.93 = 0.142*19+ 1.93
= 2.698 + 1.93
=4.628 = $ 4.63
2010:
x = 30 years
0.142x + 1.93 = 0.142*30 + 1.93
= 4.26 + 1.93
= $ 6.19
Find the attached question.
p=70°
q=32°
r=38°
Answer:
Solution given:
r=38°[inscribed angle on a same arc are equal]
p=½*140°=70°[inscribed angle is half of the central angle]
<OBA=38°[base angle of isosceles triangle]
again
<C=<B[inscribed angle is half of the central angle]
70°=<OBA+q
70°=38°+q
q=70°-38°
q=32°
Ben rode a bike at a speed of 12km/h for 1 hour 45 minutes from town A to town B. find the distance in kilometers between town A to town B
Can someone help me with this math homework please!
Answer:
A) Over the interval [-2.5, 0.5], the local maximum is 2--------------------------
Hope it helps...
Answer:
(A) Over the interval [-2.5, 0.5], the local maximum is 2.
Step-by-step explanation:
"Over the interval [-2.5, 0.5], the local maximum is 2."
Correct. The local maximum is the maximum, or highest point, of the graph in a certain area of interval. In [-2.5, 0.5], the highest point is at the y-value of 2.
"As the x-values go to positive infinity, the function's values go to negative infinity."
Wrong. As the x values go to positive infinity (meaning they go to the right, or positive side of the graph), the function goes up, meaning the function's values go to positive infinity.
"The function is decreasing over the interval (-1, 0.75)."
Wrong. Only from [-1, 0] is where that area of the graph decreases. The other half of it, (0, 0.75), is where the graph increases.
"The function is negative for the interval [-2, 0]."
Wrong. Only from [-1, 0] is the function negative. In the interval [-2, -1], the function is positive.
Hope that helps (●'◡'●)
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Answer:
option C.
Step-by-step explanation:
since the graph y = 6x is shrunk by a factor of ½
it becomes y = 3x
to find one coordinate of this graph we put x = 1 so that we get y = 3
so one point we have is (1, 3).
and the other point is origin
[ for if you keep x = 0 then 3 × 0 = 0 so y comes 0 too.]
now this graph is translated 9 units in the negative y direction
so the point that initially was (0, 0) now becomes (0, -9).
we see that the only graph passing thru (0, -9) is C.
so the answer is option C.
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[tex] \mathfrak{hope \: this \: helps \: ツ} [/tex]
Can someone please help?
Answer:
Step-by-step explanation:
What is the value of h in the diagram below?
Answer:
from what I know I think the answer is D_24
- CA Geometry A Illuminate
Answer:
3
Step-by-step explanation:
Select all that apply Which of the following are characteristics of frequency tables? Multiple select question. They can be used for qualitative data. They can be used for quantitative data. No observation can fit into more than one class. The percentage of observations in each class is provided.
Answer:
They can be used for quantitative dataThey can be used for qualitative data.No observation can fit into more than one classStep-by-step explanation:
The frequency table refers to the number of times the event occurs and lists the items shown by value and thus is quantitative and qualitative such as graphs and numerical summary.The following are characteristics of frequency tables:
They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one classA frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.
organize raw data into the readable datadisplays the frequency of various outcomes of the sample.count of occurrences of that outcome used for qualitative as well as quantitative data.Thus, the correct answer is -
They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one classLearn more about frequency distribution:
https://brainly.com/question/12635271
45 girls and 30 boys ratio in the lowest terms
Answer:
3:2
Step-by-step explanation:
45, 30
both divisible by 15, so:
3 : 2
bc :
3*15 = 45
2*15 = 30
Answer: 2/3
Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3
pls help 10 points each 2 question due in 30 mins
Answer: 108cm%2F%222+cm%22=54 .
Then you would add more rows like that for a total of
72cm%2F%222+cm%22=36 rows.
Step-by-step explanation:
many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.
It is possible because 72 and 108 are both divisible by 2.
You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,
Really hope this helped couldnt really see it
Laura is taking her family to an ice show. Each ticket costs $15, and programs
cost $6 each. She has $97. She buys 5 tickets and wants to figure out the
greatest number of programs she can buy.
If x = number of tickets and y= number of programs, which of the following
inequalities could you use to find the answer to the problem?
A. X+ y = 97
B. 15 + 6y s 97
C. 15x + 6ys 97
D. 15x + 6y2 97
Answer:
Im not sure what the answer choices are supposed to be but i think it's out of C or D.
Step-by-step explanation:
simplify.
1/4(1−2/3)^2+1/3
Answer:
13/36
Step-by-step explanation:
1 - 2/3 equals 1/3 which is inside the parenthesis
square the number in parenthesis (1/3) and it equals 1/9
multiply the 2 fractions 1/4 and 1/9 to get 1/36
finally add 1/3 with 1/36
12/36 + 1/36 would equal 13/36
A telephone company charges $40.00 per month for cell phone usage that does not exceed 750 minutes. Any usage over 750 minutes is charged at a rate of $0.45 a minute. If a customer uses a cell phone for 977 minutes in a month, how much will that monthly cell phone bill be?
Question 3(Multiple Choice Worth 5 points)
(01.01 LC)
What is the decimal equivalent of 3/9
02
0.3
04
0,5
Answer:
0.3
Step-by-step explanation:
just divide on a calculator 3/9 and u get 0.3
Can someone help me with my summer school geometry work ?
Answer:
second one
Step-by-step explanation:
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
9514 1404 393
Answer:
Y = 7.2
Step-by-step explanation:
We can multiply each element of the set by 5/6 and see which result is an integer. We find 5(7.2)/6 = 6, an integer.
Y = 7.2
what is rounding used to?
Answer:
rounding is used to make long/rough calculations cleaner or easier
Step-by-step explanation:
Answer:
Rounding is used in instances where you can only have a limited number of digits or You must round to the nearest digit.
Step-by-step explanation:
For example lets say i have the problem 12.5 + 4 + 3.2.
I am told to round up to the nearest whole number.
After adding all the numbers up, I find I have 19.7 since the tenths place is a 7, I would round up leaving my final answer as 20.
Which numbers belong to the solution set of the inequality?
X+ 9 < 78
A. 70, 72, 74, 80
B. 44, 50, 54, 68
C. 50, 62, 66, 71
D. 87, 89, 92,95
Answer: B
Step-by-step explanation:
x+9<78 => x< 78-9=> x< 69 => b right
Answer:
B.44,50,54,68
Step-by-step explanation:
40+9<78
50+9<78
54+9<78
68+9<78
A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x
Answer: 32
Step-by-step explanation:
total= 180
180-148=32
FOR BRAINLIEST ANSWER ONLY THE GIVEN-NUMBERS:
2.
3.
4.
Answer:
2.) (3,-2)
3.) (5,3)
4.) *Still trying to solve*
Step-by-step explanation:
2.)
Step 1.
5x + 4y = 7
3x - 4y = 17
+ ------------------
8x = 24
8 8
x = 3
Step 2.
5x + 4y = 7
5(3) + 4y = 7
15 + 4y = 7
-15 -15
4y = -8
4 4
y = -2
Final Answer: (3,-2)
3.
Step 1.
4x + 5y = 35
x = 2y - 1
4(2y - 1) + 5y = 35
8y - 4 + 5y = 35
13y - 4 = 35
+4 +4
13y = 39
13 13
y = 3
Step 2.
x = 2y - 1
x = 2(3) - 1
x = 6 - 1
x = 5
Final Answer: (5,3)
I do apologize that I couldn't find the solution to 4.) if I do I will edit this answer
I hope this helps!
