The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

Answer 1

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

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Related Questions

HELP MEEEEEEEEEEEEEEEEE!
X +(X+1)+...+2020+2021=2021

Answers

If x is an integer, and

x + (x + 1) + … + 2020 + 2021 = 2021

then of course

x + (x + 1) + … + 2020 = 0

and we can write the left side as a sum,

[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]

with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that

[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]

Recall that

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 +  \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]

Solve for n :

(2020 - n) (n + 1) + n (n + 1) / 2 = 0

4040 + 4039 n - n² = 0

(n - 4040) (n + 1) = 0

⇒   n = 4040   or   n = -1

But we are taking the sum of a positive number of terms, so n = 4040.

Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?

Answers

Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

what is 3-4 pls pls pls

Answers

Answer: for 3) 427 hikers

Step-by-step explanation: b + 178 + b = 676

2b + 178 = 676

2b = 498

b = 249 bikers

h = 249 + 178 = 427 hikers

21.
2 poin
A student received the following grades last semester. Find the student's
semester grade point average.
Credits
Course
Statistics
Physics
Sociology
Literature
Tennis
Grade Points
A 4.0
A 4.0
B 3.0
B 3.0
D 10
1

Answers

Answer:

4.8

Step-by-step explanation:

add all values and divide it by 5

Segments CD, GH, and JK intersect point A.

Answers

Answer: HK

Step-by-step explanation:

A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas?


12 miles

12 miles

25 miles

25 miles

120 miles

120 miles

312 miles

312 miles

Answers

Answer:

25 miles?

Step-by-step explanation:

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

yes that is correct

A physician orders Fragmin 1,600 international units subcutaneously stat. There are 9-mL vials of Fragmin (dalteparin) 10,000 international units/mL available in stock. What volume of medication should be administered? a) 16 mL O b) 1.6 mL c) 0.16 mL d) 0.016 mL

Answers

Answer:

HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley

I need help on this question as soon as possible. If anybody can give me the correct answer I’ll give brainly. I just need help. This is my 2nd question and there is 11 questions

Answers

Answer:

The solution of the system is (6, 9).

Step-by-step explanation:

Solve one of the variables and substitute the answer for the other variable.

Select one of the problems and solve for x.

3x+y=27

Subtract y from both sides.

3x+-y=27

Divide both sides by three.

x=1/3(-y + 27)

Multiply 1/3 by -y + 27.

x = -1/3y + 9

Replace -y/3 + 9 for x in the other problem 3x-2y=0.

3(-1/3y + 9) - 2y = 0

Multiply 3 by -y/3 + 9.

−y+27−2y=0

Add -y to -2y.

−3y+27=0

Subtract 27 from both sides of the problem.

−3y=−27

Divide both sides by −3.

y=9

Replace 9 for y in x=−1/3​y+9.

x=−1/3*9+9

Multiply −1/3​ times 9.

x=-3+9

Add 9 to -3.

x = 6.

x = 6, y = 9.

Find the slope of the line.
Ay
6
-2, 4)
(
4
2
(2, 2)
-4
-2
2
4
Х
-2
4
The slope is

Answers

Answer:

-1/2 is the slope of the graph.

(15,9) and (x,-3), find all x such that the distance between 2 points is 15

Answers

Answer:

See image

Step-by-step explanation:

I used distance formula to calculate. But if you haven't learned distance formula or solving radical equations, or solving equations by taking sq roots then maybe you were just supposed to graph it and look for the points. The answers came out to be nice neat numbers, so that is possible. x = 6 and x = 24

Combine the like terms to create an equivalent expression -2x-x+8

Answers

Answer:

x+6

x+6

x+6 is the right ans

99 points


solve the system of equations by graphing

k12 test interim checkpoint 4

Answers

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)

Answers

The content of the mixture, which are the colour, developer, and

conditioner, are in a fixed proportion to each other.

Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.

Reasons:

The table of the amount of each product used in the mixture are;

[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]

The number of appointment per month = 50

The quantities used per month have a proportional relationship

Quantity used a month are;

Colour = 30 ml × 50 = 1,500 ml

Developer = 60 ml = × 50 = 3,000 ml

Conditioner = 60 ml × 50 = 3,000 ml

Quantity available are;

Colour = 3.5 liters

Developer = 0.5 liters

Conditioner = 2.2 liters

The quantity needed = Quantity used - Quantity available

Therefore;

Quantity needed are;

Colour = 1,500 ml - 3,500 ml = -2,000 ml

Developer = 3,000 ml - 500 ml = 2,500 ml

Conditioner = 3,000  ml = 2,200 ml = 800 ml

Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner

Therefore, she should order;

3,000 ml = 3 liters of developer

1,000 ml = 1 liter of conditioner

Therefore;

Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.

Learn more about proportional relationships here:

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HW
Due Tuesday, December 7, 2021
1. Tracy's is having a 25% off sale. Dana wants to buy a coat that has
an original price of $83. What is the sale price?

Answers

Answer:20.75 after sale

Step-by-step explanation:

25/100 of 83 is 2075

2075/100 = 20.75

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.

Answers

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

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Golf Club Distance (yards) Distance (feet)
9 iron
99
7 iron
120
5 iron
144
3 iron
162
3 wood
174
Driver
192

Answers

Answer:

7 Iron

Step-by-step explanation:

Just smort

Which equation shows the inverse property of multiplication?
4 + (-4) = 0
-8 + (-3) = -3 + (-8)
2 times one-half = 1

Answers

Answer 3 it’s answering itself as it is the only multiplication problem

The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. According to this formula, in what year will the number of gang-related homicides be 2051?

Answers

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

,

2015

)

Focus:

(

1

,

8061

4

)

Axis of Symmetry:

x

=

1

Directrix:

y

=

8059

4

x

y

1

2019

0

2016

1

2015

2

2016

3

2019

Step-by-step explanation:

The number of gang-related homicides in 2051 will be 3,104.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

N(x) = x² -2x + 2016

N represents the number of gang-related homicides across the country x years after 2017.

Then the number of gang-related homicides be 2051 will be given as,

N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016

N(34) = 34² - 2(34) + 2016

N(34) = 1156 - 68 + 2016

N(34) = 3,104

The quantity of pack-related homicides in 2051 will be 3,104.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Select Is a Function or Is not a Function to correctly classify each relation.

Is a Function Is not a Function
{(2,2),(4,4),(6,6),(8,8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0,3),(3,5),(5,6),(8,4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1,2),(3,3),(4,8),(6,3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3,4),(5,2),(5,6),(7,3)}

Answers

Answer:

1.is a function

2. is a function

3. is a function

4. is not a function

Step-by-step explanation:

The length of the diagonal of quadrilateral is 48m. The lengths of the Perpendiculars drawn on it from the opposite corners are 15m and 19m.Find its area.​

Answers

I think all you have to do is add all the digits

15=x/4 - 3 how do i solve

Answers

Answer: the answer is x=72

Step-by-step explanation:

Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)

the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:

1/4x-3=15 then add 3 on both sides so 15+3=18

step 2: our equation is now 1/4x=18  (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4

18*4=72 which means x=72

A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.

• -3.5

Answers

Answer:

Solution:

o -3.5

As number is negative so sign bit notation is 1.

o First convert 3.5 into binary Binary of 3.5 is 011.1

 

Mantissa field:

0111

radix in .0111 must be moved 3 bit to the right to obtain

011.1

So exponent is positive 3…

 

Final 8 bit floating point notation is

 

1

1

1

1

0

1

1

1

Step-by-step explanation:

What is the value of X?​

Answers

The value of X is 5 because the dimensions of the first triangle is x=5 and 15 so therefore the second triangle has to have the same dimensions according to X so that would be 15 and 6(X)=30. As a result, X=5

the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.

[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]

How can doubling a known fact be helpful when finding products mentally

Answers

Answer:

by doing that

Step-by-step explanation:

if x = y so y is z and you can find thatKegunaan Chi-Square:

Uji Chi Square berguna untuk menguji hubungan atau pengaruh dua buah variabel nominal dan mengukur kuatnya hubungan antara variabel yang satu dengan variabel nominal lainnya (C = Coefisien of contingency).

It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?

Answers

Answer:

3×g=21

..............

IF the domain is {0, 2, -6}, what is the range of y=-2x+3?

Answers

Answer:

Range is {3,-1, 15}

Step-by-step explanation:

Answer:

{3, -1, 15} is the range.

Step-by-step explanation:

Answer as soon as possible I’ll give 5 stars!!!

Answers

Answer:

B

Step-by-step explanation:

2 times x is 2x

2*8=16

its B

Hey there!

2(x + 8)

DISTRIBUTE 2 WITHIN THE PARENTHESES

= 2(x) + 2(8)

= 2x + 16

Therefore, your answer should be: 2x + 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What expressions is equivalent to -19.2 - (-3.8)

Answers

Answer:

-19.2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.1 ft and the height of the pyramid is 28.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

191.8

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

the volume of a pyramid is

base area × height / 3

the base area here is a square.

we know its perimeter : 18.1 ft, which is 4 times the side length.

so, one side of the square is :

18.1/4 = 4.525 ft

the area of the square is side² = 4.525² = 20.475625 ft²

we also know the height of the pyramid, so the volume is :

Vp = 20.475625 × 28.1 / 3 = 191.7883542 ft³

the rounded volume of the pyramid is 191.8 ft³

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