Match the lines m and n to the statements they represent
Answers
Answer:
Line n: A set of points where the coordinates of each point have a sum of 2
Line m: A set of points where the y-coordinate of each point is 10 less than the x-coordinate
Step-by-step explanation:
Given
Lines m and n (See attachment)
Required
Interpret both lines
First, we pick few coordinates of line m and then line n.
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
Test for Statement A:
Set of point with a sum of 2
i.e.
[tex]x + y = 2[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]x_1 + y_1 = 13 + 3 = 16[/tex]
This statement is not true for line m
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex]x_1 + y_1 = -2 + 4 = 2[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]x_2 + y_2 = 6- 4 = 2[/tex]
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
[tex]x_3 + y_3 = 12- 10 = 2[/tex]
This statement is true for line n
Test for Statement 2:
Set of points where y is x - 10
i.e.
[tex]y = x - 10[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]y_1 = x_1 - 10[/tex]
[tex]3 = 13 - 10[/tex]
[tex]3 = 3[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]y_2 = x_2 - 10[/tex]
[tex]-4 = 6 - 10[/tex]
[tex]-4 = - 4[/tex]
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
[tex]y_3 = x_3 - 10[/tex]
[tex]-8 = 2 - 10[/tex]
[tex]-8 = -8[/tex]
This statement is true for line m
Related Questions
Pam read 126 pages of her summer reading bookin 3 hours. Zac read a180 pages of his summer reading book in 4 hours. If they continue to read at the same speeds, will they both finish the 215 page book after 5 total hours of reading?
Answers
Answer:
Zac will finish, Pam won’t
Step-by-step explanation:
Let’s have the individual reading speeds
The individual reading speeds are the number of pages divided by hours taken
For Pam; 126/3 = 42 pages per hour
For Zac; 180/4 = 45 pages per hour
In five hours, Zac would read; 45 * 5 = 225 pages
In five hours, Pam would read 42 * 5 = 210 pages
(I’ll give brainliest)
Answers
Answer:
52.5n+449.85
Step-by-step explanation:
15 x (3.5n +29.99)
15x (3.5n) + 15 x (29.99)
52.5n + 499.85
unrelated but I just had this problem on a homework assignment on the same assignment. Cool coincidence am I right.
Help please due soon
Answers
Answer:
16
Step-by-step explanation:
D
Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?
Answers
Answer:
Step-by-step explanation:
Equation of a line passing through (h, k) in point slope form is given by,
y - k = m(x - h)
From the graph attached,
Slope of the line passing through (6, 12) and (3, 21),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{21-12}{3-6}[/tex]
= -3
Therefore, point - slope form of the line passing through (3, 21) will be,
y - 21 = -3(x - 3)
Now convert this equation in slope intercept form,
y = -3x + 9 + 21
y = -3x + 31
(b). For x = 1 Or day 1
y = -3(1) + 31
y = 28 minutes
Therefore, Phillip took 28 minutes initially to deliver his packages.
Slope of the line states the decrease in the delivery time per day that is 3 minutes per day.
The time of a race is 13.7seconds rounded to 1 decimal place.If the time was x seconds find the inequality in x
Answers
Answer:
13.65 ≤ x < 13.75
Step-by-step explanation:
Let x represent the time in seconds. Since the time is 13.7 seconds when rounded to 1 decimal place, hence for this to be possible the minimum value of x is given as x ≥ 13.65 because 13.65 rounded to 1 decimal place is 13.7 seconds. Also, the maximum value of x is given as 13.75 because 13.75 rounded to 1 decimal place is 13.8 seconds.
Therefore the inequality to represent x is:
13.65 ≤ x < 13.75
If 5x + 2 = 17, then 10x + 4 = 34 True False selle Corporation. All Rights Reserved
Answers
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
As an estimation we are told 5 miles is 8 km.
Convert 17.6 km to miles.
Answers
Answer:
17.6 kilometers are equal to 11 miles.
Step-by-step explanation:
Given that:
8 kilometers = 5 miles
Unit rate in terms of kilometer.
1 kilometer = 5/8 miles
Now,
We have to convert 17.6 kilometers in miles
17.6 kilometers = [tex]\frac{5}{8}*17.6[/tex]
17.6 kilometers = [tex]\frac{5}{8}*\frac{176}{10}[/tex]
17.6 kilometers = 11 miles
Hence,
17.6 kilometers are equal to 11 miles.
steven has £1100
he pays £530 for a new tv
his motrtgage is £480
how much money does he have left after playing for the tv and paying for the tv and playing his mortgage
Answers
Answer:
$90
Step-by-step explanation:
$1,100
-$530
-$480
______
$90
HELP ME PLEASE!!!!!!!
Answers
Answer:
1. (0,0) (3,1) (6,2)
2. proportinal
3. im so sorry but i cant see that one i really am sorry!
Step-by-step explanation:
i hope i helped brainliest?
4(c - 3)=8 What is the value of the C? i really need help, i will mark brainliest
Answers
Answer:
c = 5
Step-by-step explanation:
4 (c - 3) = 8
4c - 12 = 8
+12 +12
4c = 20
c = 5 Check:
4 (5 - 3) = 8
20 - 12 = 8, the answer is correct
In solving the equation 2x+5=9, which property of equality do we use first? Why?
Answers
What is the average rate of change of f(x) = 5x – 7 from x = -3 to x = 7?
Answers
Answer:
[tex]f(x) = 5x - 7 \\ change = f(7) - f( - 3) \\ = ((5)(7) - 7) - ((5)( - 3) - 7) \\ = (35 - 7) - ( - 15 - 7) \\ = (28) - ( - 22) \\ = 50 \\ average \: change = \frac{change}{2} \\ = \frac{50}{2} \\ = 25[/tex]
The rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.
A function f(x) = 5x - 7 is given which changes from x = -3 to x = 7.
We have to find out the average rate of change for the given function.
What is the average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] ?
The average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] can be given by a formula which is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex].
As per the question ;
The function is f(x) = 5x - 7
So,
At x = -3
f(x) = 5 × -3 - 7
f(x) = -15 - 7
f(x) = -22
At x = 7
f(x) = 5 × 7 - 7
f(x) = 35 - 7
f(x) = 28
Let's use the formula to find average rate of change of function ;
i.e.,
= [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex]
= [tex]\frac{(28)-(-22)}{7-(-3)}[/tex]
= [tex]\frac{28+22}{7+3}[/tex]
= [tex]\frac{50}{10}[/tex]
= 5
Thus , the rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.
To learn more about rate of change of functions click here ;
https://brainly.com/question/19468803
#SPJ2
Find the x and y intercepts of y=-x+6
Answers
Answer:
the X intercept may be -1 and yintercept no idea
when y=0, x= -6
y intercept is when x=0
when x=0, y=6
what is 16 to the zeroth power
Answers
Answer: 1
Step-by-step explanation: Nice try :)
Answer:
1
Step-by-step explanation:
Anything to the 0th is 1
Plz answer I will give brainlest tag
Answers
Answer:
135/8
Or
16.875
Step-by-step explanation:
(3²-2²)(⅔)^-3
(9-4)(3/2)³
5(27/8)
135/8
16.875
What is the product of 3.06 and 4.1 rounded to the nearest hundredth?
Answers
Answer:
12.55
Step-by-step explanation:
The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given decimal numbers are 3.06 and 4.1.
Now, product =3.06×4.1
= 12.546
To the nearest hundredth is 12.55
Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ2
40 = x/-4/7 what is X
Answers
Answer:
x = -70
Step-by-step explanation:
60 boys in a hostel have food for 30 days. How long would the food last for 72 boys. Tell me how to do it with explanation please
Answers
Answer:
The food will last for 25 days with 72 boys
Step-by-step explanation:
Proportions can be used to find the number of days the food will last for 72 boys.
60 boys in a hostel have food for 30 days.
Let x be the number of days for which the food will last
The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional
Which means
[tex]60*30 = 72 * x\\x = \frac{60*30}{72}\\x = 25[/tex]
Hence,
The food will last for 25 days with 72 boys
PLEASE HELP!!
Find the value of x
10 and 11!
Answers
Answer:
10)
11x-1+20x-3=151 (the exterior angle of an triangle is equal to the sum of two opposite interior angles)
31x-4=151
31x=151+4
31x=155
x=155/31
x=5°
11)
14x-13=4x+13+6x+2
14x-4x-6x=13+13+2
4x=28
x=28÷4
x=7°
Pls help me I don’t understand this!!! Happy new year everyone.
Answers
Jada has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00.
c) They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?
Answers
Answer: See explanation
Step-by-step explanation:
Your question wasn't well written but I saw an identical question so let me help out.
a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?
b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?
a. Subtotal = $42.00
Tax = $3.99
Percentage of subtotal that is sales tax will be:
= Sales tax/Subtotal × 100
= 3.99/42.00 × 100
= 9.5%
b. Tip = $7
Sub total = $42
The percentage of the subtotal that is the tip will be:
= Tip/Sub total × 100
= 7/42 × 100
= 16.67%
Will give Brainliest!!!
The ordered pair below represents a point on the line 3y + 4x = 5. Enter the missing y-coordiante for this point in the box.
(−14,?)
Answers
Answer:
(-1/4, 2)
Step-by-step explanation:
Substitute the given information into the equation and solve for y.
3y +4(-1/4) = 5
3y -1 = 5 . . . . . . simplify
3y = 6 . . . . . . . . add 1
y = 2 . . . . . . . . . divide by 3
(The other person who said -5 is incorrect and he gave no explination)
Find the equation of the line specified.
The line passes through the points (-2, 3) and (-4,7)
a. y = -2x-1
y = -4x-1
b. y = -2x +3
d. y = -2x + 7
C.
Please select the best answer from the choices provided
Answers
7-3 divided by -4--2
Slope is -2
substitute point in y=mx+b
7= -2(-4)+b
7=8+b
Move 8 to the other side as a negative number
b is equal to -1
Putting it all together we have y= -2x-1
Therefore, the answer is option a
Answer:
A……
Step-by-step explanation:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
[tex]\displaystyle m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 40)
Point (20, 50)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract: [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify: [tex]\displaystyle m=\frac{1}{2}[/tex]A gear rotates eight times every 15 seconds how many seconds does it take to rotate 24 times
Answers
Answer:
360
Step-by-step explanation:
Answer:
It would take 45 seconds for a gear to rotate 24 times.
Step-by-step explanation:
8 goes into 24 three times. Just multiply 15 by three.
Hope this helps!
Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
12 divided by three-fourths
12 times three-fourths
Three-fourths divided by 12
Four-thirds divided by 12
Answers
Overview
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Question Progress
Homework Progress
4/28
Expand and simplify (2x - 3)(3x + 4)
Answers
Answer:
6x²-x-12
Step-by-step explanation:
(2x - 3)(3x + 4)
6x²+8x-9x-12
6x²-x-12
Please help me as soon as possible
Answers
Answer:
A
Step-by-step explanation:
A is the correct answer
3. Mr. Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true?
A. They are the same size and shape.
B. They are the same size but different shapes.
C. They have corresponding angles that are congruent.
D. They have corresponding sides that are congruent.
Answers
Answer:
A
Step-by-step explanation:
Ortiz used similar triangles to make a design. Which statement about the triangles in the design must be true? They are the same size and shape.
Express {x+1}{2x-3} as a trinomial.
Answers
Answer:
[tex]2x^2 + 5x + 3[/tex]
Step-by-step explanation:
First, expand the original equation:
(x + 1)(2x + 3)
[tex]2x^2 + 3x + 2x + 3[/tex]
Now simplify:
[tex]2x^2 + 5x + 3[/tex]
And that's your answer!