The slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Given:
A line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex].
To find:
The slope-intercept form of the line.
Explanation:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
Where, [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.
The line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex]. So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-1=\dfrac{2-1}{8-4}(x-4)[/tex]
[tex]y-1=\dfrac{1}{4}(x-4)[/tex]
Using the distributive property, we get
[tex]y-1=\dfrac{1}{4}(x)+\dfrac{1}{4}(-4)[/tex]
[tex]y=\dfrac{1}{4}x-1+1[/tex]
[tex]y=\dfrac{1}{4}x[/tex]
Therefore, the slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Learn more:
https://brainly.com/question/14455429
Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?
The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.
How to Interpret x and y intercepts?The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.
We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.
We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.
Read more about Intercepts at; https://brainly.com/question/3951754
#SPJ2
How much force is needed to accelerate a 70 kg skier at 2 m/sec2?
Force = mass x acceleration
Force = 70 kg x 2 m/s^2
Force = 140 N
please help me :(
Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.
Answer:
235 ≤ T ≤ 245
Step-by-step explanation:
(8 hours per night x 30 nights) = 240 hours
The deviation from 8 hours per night is as much as 10 minutes per night.
Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.
So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.
In inequality form,
235 ≤ T ≤ 245
can someone please help me!!!!!
Answer:
5
120
20
Step-by-step explanation:
Se contrató a un arquitecto para construir un monumento conmemorativo. La estructura sería una pirámide formada con balas de cañón. La base sería un cuadrado hecho con 100 balas, la capa siguiente tendría 81 balas y así se continuaría construyendo. La pregunta es, ¿Cuántas balas se utilizaron para construir el monumento?
Answer:
385 balas de cañon
Step-by-step explanation:
la base mide 10 x 10 = 100 balas de cañon
la capa siguiente mide 9 x 9 = 81 balas de cañon
la siguiente 8 x 8 = 64
despues 7 x 7 = 49
luego 6 x 6 = 36
y seguimos adelante con 5 x 5 = 25, 4 x 4 = 16, 3 x 3 = 9, 2 x 2 = 4 y finalmente tenemos 1 sola bala de cañon.
El total de balas de cañon = 100 + 81 + 64 + 49 + 36 +25 + 16 + 9 + 4 + 1 = 385 balas de cañon
I need help with this. This is a test so please answer is correctly!!!
Answer:
4 batches
Step-by-step explanation:
just took the quiz can i have Brainliest pls
Answer:
4 batches
Step-by-step explanation:
A piano teacher charges $20 per lesson plus a $30 fee for supplies. Another
teacher does not have a supply fee but charges $30 per lesson. After how
many lessons will the cost of the two teachers be the same?
Answer:
3 Lessons
Step-by-step explanation:
Find out the difference between the initial price of each lesson. In this equation it's $10. With that being said, for every lesson the difference will always be $10. So the next lesson would be a $20 lesson and so forth. By the third lesson the difference would be $30. You add the $30 to the $30 per lesson teacher and you'll get $90 which would be equal to the teacher doing it for $30 an hour to begin with.
The total number of lessons when the cost of the two teachers be the same is 3 and this can be determined by forming the linear equation.
Given :
A piano teacher charges $20 per lesson plus a $30 fee for supplies. Another teacher does not have a supply fee but charges $30 per lesson.The following steps can be used in order to determine the total number of lessons will the cost of the two teachers be the same:
Step 1 - Let the total number of lessons be 'x'.
Step 2 - The total amount of money the first piano teacher earn is:
= 20x + 30
Step 3 - The total amount of money another piano teacher earn is:
= 30x
Step 4 - According to the given data, the cost of the two teachers be the same, that is:
20x + 30 = 30x
Step 5 - Simplify the above equation.
30 = 10x
x = 3
For more information, refer to the link given below:
https://brainly.com/question/2263981
I NEED HELP PLEASE!
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three-fifths
y = one-fourth x + 5
y = negative one-fourth x minus 1
9514 1404 393
Answer:
y = 1/4x + 5
Step-by-step explanation:
The given line has a "rise" of -8 for a "run" of 2, so a slope of ...
m = rise/run = -8/2 = -4
The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...
-1/m = -1/(-4) = 1/4
The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...
y = 1/4x + 5 . . . . the third choice
Suppose the average farm owned by the farmers who joined Shays' Rebellion had an area of
1,755,625 meters squared. If one such farm is in the shape of a square, what is the perimeter of
the farm?
Hint
A 10,600 meters
B 2,650 meters
C 1,325 meters
D 5,300 meters
Answer:
d would be the answer
Step-by-step explanation:
i took the test
C С
800.54 + 90.52 =
Answer: 891.06
Step-by-step explanation:
add 800.54 by 90.52
Can anybody answer these 2 please hurry
Answer:
the first one is b= 52
the second one is b= 63
Look at points C and D on the graph:
tag: Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at 0, 4 and point D at 3, 1.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (1 point)
Question 11 options:
1) 3.00 units
2) 3.46 units
3) 4.24 units
4) 6.00 units
Step-by-step explanation:
Using Pythagoras' Theorem,
Distance = sqrt[(0-3)² + (4-1)²]
= sqrt[(-3)² + 3²]
= sqrt18
= 4.24 units. (3)
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 items. Let c represent the number of additional customers Joshua must have to meet his goal Joshua needs to have more than ? Area additional customer to meet his goal.
Answer:
More than 7
Step-by-step explanation:
Given that:
Joshua's goal is to sell more than 20 items at a farmer's market.
Number of items already sold = 6
So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14
Given that each customer buys 2 items.
Let [tex]c[/tex] be the number of customers.
So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = [tex]2c[/tex]
And as per the question statement,
Number of more items to be sold > 14 (as calculated in above step)
[tex]2c>14\\\Rightarrow \bold{c>7}[/tex]
Therefore, the answer is: More than 7 additional customers are required.
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points) Group of answer choices Fraction 5 over 7 unit 1 unit 1 Fraction 3 over 7 units 2 Fraction 5 over 7 units
Given:
Length of the rectangle = [tex]\dfrac{2}{7}[/tex] units
Width of the rectangle = [tex]\dfrac{3}{7}[/tex] units.
To find:
The perimeter of the rectangle.
Solution:
We know that,
Perimeter of a rectangle = 2( l + w )
where, l is length and w is width.
Using the above formula, the perimeter of the rectangle is
[tex]P=2(\dfrac{2}{7}+\dfrac{3}{7})[/tex]
[tex]P=2(\dfrac{5}{7})[/tex]
[tex]P=\dfrac{10}{7}[/tex]
[tex]P=1\dfrac{3}{7}[/tex]
The perimeter is [tex]1\dfrac{3}{7}[/tex] units.
Therefore, the correct option is C.
Answer: for short its c have a good day ! :)
Step-by-step explanation:
Please teach me how to do properties of exponents pre algebra
Answer:
Look up on YT how to solve properties of exponents
Step-by-step explanation:
-
Can anyone help me with this
Answer:
Yes I can help you :)
Step-by-step explanation:
help me quys plz, which one is it
In each diagram, MBC has been transformed to yield AIC Which transformation could not be achieved by rotation alone?
Which table of values does not represent a function
Answer:
if an input produces more than one output, the table does not represent a function. In this case, table D is not a function. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.
I WILL GIVE BRAINLEST
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes
PLSSS SHOW YOUR WORK PLSSSSSS
Answer:
2d-5=Q ?
Step-by-step explanation:
Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)
Mountaintop Water Company produces
water bottles 18 hours per day. In the
past 3 hours, the company has produced
3,600 bottles of water. Which is the best
prediction for the number of bottles of
water the company will make in one day?
HELPP
Answer:
24/3×3600=28800bottles per day
Step-by-step explanation:
convert 51 in base 10 into base 5
i cant put a link but i looked up "51 in base 5"
and got 201
The value of the equation is 51₁₀ = 201₅
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 51₁₀ be equation (1)
Let the number with base 5 be represented as B
Now , to convert the equation A to a number in base 5 ,
The equation calculation formula for 51₁₀ number to base 5 is
5 | 51
5 | 10 | 1
5 | 2 | 0
5 | 2 | 2
Therefore , the number B = 201₅
Hence , the value of the equation is B = 201₅
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Help.......................
Answer:
[tex]A.\ 2x^2-5x-12[/tex]
Step-by-step explanation:
[tex](2x+3)(x-4)\\=(2x*x)+(2x*-4)+(3*x)+(3*-4)\\=2x^2-8x+3x-12\\=2x^2-5x-12[/tex]
second pictures of my last question
Answer:
you really did not give us the full pictuer
Step-by-step explanation:
What is the solution set for this inequality?
-8x + 40>-16
Answer:
Step-by-step explanation:
-8×+40>-16
Answer:
x > 7
Step-by-step explanation:
-8x+40>-16
You do 40 minus 40, and that cancells it out, then you do -16 minus 40, wich gives you -56, then, you do -1 divided by -8, wich, again, cancels it out, and finally, do -56 divided by -8 wich gives you 7, so, x=7.
DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
Which of the following describes a rate?
1. A volleyball team won 8 out of 12 games.
2. Anisa gets paid $12 per hour
3. Bradley's class has 8 boys and 14 girls.
4. A restaurant has 5 waiters for every 10 tables.
Answer:
2. Anisa gets paid $12 per hour describes a rate.
Step-by-step explanation:
A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.
Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.
Hope this helps! :)
I WILL GIVE BRAINLEST
Mark sold candles for three weeks. Let x represent the number of candles he sold
the first week. He sold twice the number of candles the second week as he did the
first week. In the third week, Mark sold 4 less than the number he sold the first
week. Which expression represents the total number of candles Mark sold in the
three weeks?
A.2x – 4
B.3x + 4
C.3x – 4
D.4x – 4
Plzssss SHOW YOUR WORK PLZSSS
Answer:
D
Step-by-step explanation:
If x is the first week, and he sold twice the amount so this could be represented as 1x (the first week) plus 2x (the second week since its twice the amount of the first week) and the third week can be represented as 1x-4 since its the same amount of candles sold minus 4. If you add them all together you get 1x+2x+1x-4. if you add like terms you get 4x-4. Hope this helps :)
Long division 4/8,728
Answer:
0.0004582951
Step-by-step explanation:
I just put this equation into a calculator to solve.
Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?
Concept: Domain & Range
The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.