Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....
[tex]3x - 4y = 6[/tex]
Subtract sides -3x
[tex] - 3x + 3x - 4y = - 3x + 6[/tex]
[tex] - 4y = - 3x + 6[/tex]
Divided sides by -4
[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]
[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]
This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :
[tex]slope = \frac{3}{4} \\ [/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions.
[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]
Now just need to put the slope and the given point in the above equation.
[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]
Multiply sides by 4
[tex]4(y - 6) = 3(x - 4)[/tex]
[tex]4y - 24 = 3x - 12[/tex]
Plus sides 24
[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]
[tex]4y = 3x + 12[/tex]
Subtract sides -3x
[tex]4y - 3x = 3x - 3x + 12[/tex]
[tex]4y - 3x = 12[/tex]
And we're done....♥️♥️♥️♥️♥️
Unit 3 Closing Activity
Your task is to package 36 cans of tennis balls for shipping. Each tennis ball can contain 3 tennis balls.
You must box them in two rows of 18 cans.
When you go to the box store to purchase a box, you notice that the boxes come in a variety of sizes. All dimensions are in multiples of 6” (ie. 6”, 12”, 18”, etc.). Assume the diameter of one tennis ball is 3 inches. Use 3.14 as the value of .
When talking to the shipping clerk, you find out that there is an extra charge for any extra space in the shipping box that is not taken up by the cans because they have to fill that space in with a filler. Since you are on a tight budget, you want to spend the least amount of money as possible to ship this box.
Your task:
Choose the size box that fits the cans for your shipment.
L= W= H=
2) Determine how much extra space there is in your box after you have put the cans in
Answer:
1) L = 54", W = 6", H = 9"
2) Extra Space = 1389.96 in³
Step-by-step explanation:
1)
LENGTH:
Since, there will be 18 balls along the length of box. Therefore,
Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')
L = 54"
WIDTH:
Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,
Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')
W = 6"
HEIGHT:
Since, each can can hold 3 balls along the height of box. Therefore,
Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')
H = 9"
2)
First we calculate the total volume of box:
Total Volume = L*W*H = (54")(6")(9") = 2916 in³
Now, we calculate volume of one ball:
Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³
Now, we calculate the total number of balls in box:
No. of Balls = (Balls along length)(Balls along width)(Balls along height)
No. of Balls = (18)(2)(3) = 108 balls
Now, we calculate the total volume of box occupied by balls:
Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)
Total Volume occupied by Balls = (108)(14.13 in³)
Total Volume occupied by Balls = 1526.04 in³
Hence, the extra space will be:
Extra Space = Total Volume of Box - Total Volume Occupied by Balls
Extra Space = 2916 in³ - 1526.04 in³
Extra Space = 1389.96 in³
Question 1
A research lab studied the effects that temperature has on the
growth of a certain plant. At 60°F, the plant grows 1.25 cm
per week. At 80°F, the plant grows 2.75 cm per week. How
fast can we expect the plant to grow at 72°F in one week?
A. 1.36 cm
B. 1.5 cm
C. 2.15 cm
D. 2.48 cm
Find the value of |-9 + 1| - 4(4).
-36
-6
-8
16
I will make you brainlliest and give you some points.
|-9 + 1| - 4(4)
|-9 + 1| = |-8| = 8
4(4) = 4x4 = 16
Now you have 8-16 = -8
The answer is -8
2x(x^3-8)
X^2+7x+10=0
2nd term in expansion of (y-2x)^4
Answer:
10.7
Step-by-step explanation:
PLEASE HELP! I WILL MARK THE BRAINLIEST!
A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?
Answer:
2x+3y=-6
Step-by-step explanation:
Solve by elimination.
3x + 4y = -6
5x - 4y = 22
Answer:
Step-by-step explanation:
Just
Emliminate it by 3x’s
Answer:
HOPE THIS HELPED YOU
PLEASE MARK AS THE BRAINLIEST (ㆁωㆁ)
whats the capitol of Florida miaaaaaaa
Answer:
Tallahassee
Step-by-step explanation:
PLEASE HELP!
You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
0.33% and 1 time
3% and 4 times
3% and 144 times
0.33% and 144 times
Answer:
The final balance is $1,612.23.
The total compound interest is $612.23.
Step-by-step explanation:
The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.
Equivalent interest rate for 4% and how many times the money will be compounded to be determine.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the equivalent interest rate = 4%/12
= 1/3
= 0.33%
Now, number of times money compounded = 12 years
= 12 x 12 months
= 144
Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
What do I put in boxes explain
GIVING BRAINIEST
Answer: does, each input has two outputs
Step-by-step explanation:
Answer:
does represent a function because it intersects at more than one point, the relation is a function.
Step-by-step explanation:
You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.
2-2+5+1-3*55+12-33*98
Answer:
-3054
hdjsfahjkdhfjkdsaf
HELP!!!! :( I will give 5 stars!
$4,200 with a 35% markdown
Answer:
1, 470
Step-by-step explanation:
4,200 * 0.35 = 1, 470
Answer:
2730 dollars
Step-by-step explanation:
35% of 4,200 is 1,470 so you want to subract 4,200 - 1470 = 2730
GIVING BRAINLIEST!!!!
How many solutions exist for the given equation?
1/2(x+12)=4x-1 (1/2 is one half)
zero
one
two
infinitely many
Answer:
Two
Step-by-step explanation:
there is TWO sulotions!!!
what is 4 9/10 as an improper fraction
Answer:
36/10
Step-by-step explanation:
4*9=36
The value of improper fraction is,
⇒ 49/10
We have to given that,
A mixed fraction to change into an improper fraction is,
⇒ 4 9/10
Since, An improper fraction is a fraction whose numerator is equal to or greater than its denominator.
Now, We can change it as,
⇒ 4 9/10
⇒ (10 × 4 + 9) / 10
⇒ (40 + 9)/10
⇒ 49/10
Therefore, the solution in improper fraction is,
⇒ 49/10
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.
Answer: $270
Step-by-step explanation:
I = prt
I = 0.18 x 750 x 2
I = 135 X 2
I = 270
Step-by-step explanation:
hope u understand from this picture
{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}
Dom:
Range:
Function?
Answer:
Domain = {-2, 2, 3, 4, 5}
Range= {6, 0, 6, -1, 3)
It is a function
Step-by-step explanation:
It is a function because there is only one y value for each x value
Raj is playing a game . He needs to find pairs of cards that have the same value . Which two pairs of cards does Raj have that express the same value?
Answer:
7/9= 0.77(repeating) and 3/8=0.375
Step-by-step explanation:
student is training 4 a track team during the first 3 months of the year by running 30 minutes every day, while averaging 5 miles each day.
Select graph that correctly shows the total miles ran during the time of training program
30 minutes - 5 miles;
1 hour - 10 miles
10 hours - 100 miles ...
The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted along the y-axis ( Miles ). Also:
3 months = 90 days
90 x 1/2 hours = 45 hours
Answer: The graph B ) ( or the second one ).
Which method would you use to solve the following equation?
Answer:
Inverse
Step-by-step explanation:
I would use the inverse. Hope this helps!
Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total numbers of baskets?
Answer:
2:3
Step-by-step explanation:
You can simplify 12/18 to 2:3 also if michel is that good at basketball he should go to the NBA
I need it asap HELP ME PLEASE
Answer:
x=-38
Step-by-step explanation:
8x+51=6x-25
2x= -76
x= -38
Solve the equation: 3x − x − 5 = 2(x + 2) − 9 No solution, 1, All real numbers, 0
Answer:
I hope this helps
Step-by-step explanation:
Simplifying
3x + -1x + -5 = 2(x + 2) + -9
Reorder the terms:
-5 + 3x + -1x = 2(x + 2) + -9
Combine like terms: 3x + -1x = 2x
-5 + 2x = 2(x + 2) + -9
Reorder the terms:
-5 + 2x = 2(2 + x) + -9
-5 + 2x = (2 * 2 + x * 2) + -9
-5 + 2x = (4 + 2x) + -9
Reorder the terms:
-5 + 2x = 4 + -9 + 2x
Combine like terms: 4 + -9 = -5
-5 + 2x = -5 + 2x
Add '5' to each side of the equation.
-5 + 5 + 2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
0 + 2x = -5 + 5 + 2x
2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
2x = 0 + 2x
2x = 2x
Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
There are 12 girls and 15 boys in a class. The teacher wants to make reading groups with the same number of girls and boys in each group. What is the greatest number of reading groups that can be made
Answer:3
Step-by-step explanation:
Given the quadrilateral ABCD, what is the length of diagonal AC?
A 16/2
B 8/2
C 13
D 4/2
Square roots by the way
Answer: a
Step-by-step explanation:
Can anyone show me this? :(
I showed the steps in the photo
Hope you can understand it ^_^
Evaluate 2(x - 4) + 3x - x2 for x = 2.
O A. -6
O B. -2
O C. 6
O D. 2
Answer:
B. -2
Step-by-step explanation:
2(x - 4) + 3x - x2
2(2 - 4) + 3(2) - (2)2
2(-2) + 6 - 4
-4 + 6 - 4
-8 + 6
-2
x + 3 = 10 , then the value of x is
Answer:
7
Step-by-step explanation:
Because 7+3= 10, Please tell me if my answer is wrong
Answer: 7
Explanation:
Because 7+3=10
A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus
Answer:
125
Step-by-step explanation:
The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.
Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.
Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.
So, x+90=215
[tex]\Rightarrow x=215-90=125.[/tex]
Hence, the number of fraternity men on the campus was 125.
The slope of this graph is?
Find the slope of the line that passes through (4,8) and (2, 1)
Please help
Answer: (7,2)
Step-by-step explanation below.
Hello!
First, we need to put it in the y2-y1/x2-x1 form.
8-1/4-2 = 7/2
So the slope would be...
m = 7/2
So the line would go up 7 and right 2.
Hope this helps you!