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....♥️♥️♥️♥️♥️
PLEASE
What is the slope and the y-intercept for the
equation = −2 − 2?
Answer:
So the slope is -2 while the y-intercept is -2
Step-by-step explanation:
y=mx+b
so you need to rearrange it so it will be
y=-2x-2
So m is slope so it is -2
and -2 is b which is the y-intercept so it is -2
Hope this helps and sorry I took so long
Simplify the expression.
(7x4)?
(7x4)2 =
Answer:
14
Step-by-step explanation:
i took the test
if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube
Answer:
The measured side is not shown, so i will answer in a general way.
A cube is a 3-dimensional object with 6 square faces.
You know that all the sides of a square have the same length, then is the same for the cube.
To calculate the volume of a cube, we start with the area of the base.
The base is a square of sidelength L (Suppose that L is the length of the measured side)
The area of the base is:
A = L^2.
To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).
And the height of the cube is also L.
Then the volume is:
V = L*a = L^3
Which expression has a value of -8?
F 10 + (-2)
G -10 + (-2)
H -10 + 2
J 10 -(-2)
Answer:
H
Step-by-step explanation:
there are 9 water bottles in devin's fridge. he adds two cases that are each missing a bottle of water. when he is done, there are 31 bottles in the fridge. how many bottles are in a case?
Answer:
12
Step-by-step explanation:
Add two to the number of water bottles (33), subtract 9 (24) and divide in half, giving you 12.
4x + 20y = -180
Put the following equation of a line into slope intercept form, simplifying fractions
Answer:
y = - [tex]\frac{1}{5}[/tex] x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
4x + 20y = - 180 ( subtract 4x from both sides )
20y = - 4x - 180 ( divide all terms by 20 )
y = [tex]\frac{-4}{20}[/tex] - [tex]\frac{180}{20}[/tex] , that is
y = - [tex]\frac{1}{5}[/tex] x - 9 ← in slope- intercept form
Can someone help me??
Potential Energy is ____ energy
Answer:
potential energy is mechanical enerygy.
Answer:
kinetic energy
Step-by-step explanation:
the temperature at midnight is -3 degrees the weatherman predicts the temperature to be 25 degrees warmer by noon the next day.find the temperature at noon
Answer:the tempature will be 22 degrees (i dunno if you measure in Farenheight or celcius so dunno)
Step-by-step explanation: because if the tempature
would rise it would be 22 whatever you measure with
please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18
2(3x-4)=10
2x+7=5x+16
x/3-8=-2
3x – 6 = -12
x/-3=8
PLEASE HELP ME!! I NEED THIS ONE IN 20 MINS!! Which point represents the solution to the system of equations below?
A. Point A
B. Point B
C. Point C
D. Point D
Step-by-step explanation:
that is letter C. ok makes help
simplify 8/9/20 please
The value of 8/9/20 could be either 0.04 or 17.77.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given the fraction,8/9/20
Case 01)
(8/9)/20 = 0.888/20 = 0.044.
Case 02)
8/(9/20) = 8/0.45 = 17.77.
Hence "The value of 8/9/20 could be either 0.04 or 17.77".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
Look at the warm-up document and determine your answer. Explain using a well thought out and complete sentence why you chose your answer
Answer:
The bottom right which I believe is D.
Step-by-step explanation:
All the other lines are increasing meaning they are going upward from left to right. The only one that isn't increasing is D and its decreasing.
What does the word “flip” tell you to do in “keep change flip” for dividing fractions a) change the place of the numbers numerator and the denominator for the first fraction b) change the places of the numbers in the numerator and the denominator for the second fraction c) change the places of the numbers in the numerator and the denominator for both fractions d) change the ÷ between the fractions
Answer:
b) change the places of the numbers in the numerator and the denominator for the second fraction
Step-by-step explanation:
In the phrase "keep change flip":
You "keep" the first fraction.
"Change" the division sign into a multiplication sign.
"Flip" (or switch) the places of the numerator and denominator in the second fraction.
Example:
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]
[tex]\frac{1}{2}*\frac{3}{1}=\frac{3}{2}=1.5[/tex]
Hope this helps.
Can you Help me please :/
Answer:
(2,1)
Step-by-step explanation:
multiply by negative three on the first equation then solve
Answer:
(-2, 1)
Step-by-step explanation:
Given:
2x+8y=4...(1)
6x-y=-13...(2)
You would want to have an x or a y value that equals the same in both equations. In this case, we can multiply equation 1 by 3 so that both x's in each equation equal 6x.
(2x+8y=4) x 3...(1)
6x-y=-13...(2)
becomes...
6x+24y=12...(3)
6x-y=-13...(4)
As you can see here, both x's in this equation are equal.
Now we will be combining these equations together. Take the equal x values and make sure they will equal 0. You do that by either subtracting the entire equation or adding it. In this problem, we will be subtracting it because 6x-6x=0
(6x+24y=12) - (6x-y=-13) = 25y =25
Now that we can solve for y separately, 25y=25 y=1
To solve for x, just substitute y into one of the original equations (equations 1 or 2). For this problem, I'll use equation 1.
6x-y=-13
6x-1=-13
6x=-12
x=-2
(This is what I got for my answer and here is the explanation. I apologize if my answer is incorrect. If someone notices a mistake in my answer, please correct me, thank you and have a nice day!)
What is the quotient of 513 divided by 19
Answer:
The number 513 is called the numerator or dividend, and the number 19 is called the denominator or divisor.
The quotient of 513 and 19, the ratio of 513 and 19, as well as the fraction of 513 and 19 all mean (almost) the same: 513 divided by 19, often written as 513/19.
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
First you set up the equation of your quotient. Then divide it by 19, like so 513÷19 lastly you solve the answer that the math you calculated.
the empire state building weighs about 7.3X10 to the 8 power (pounds) the world trade center building weighs about 88,200,000 pounds. what’s is total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form aX10 to the power of B, what are the values of A and B?
Answer:
which principle prevents a brach from abusing its powerwhich principle prevents a brach from abusing its power
Step-by-step explanation:
please help, 20 points !!
What is the relationship between Angle 2 and Angle 7?
Answer:
they are the same
Step-by-step explanation:
they are not diffrent because its that same
Answer:
They are alternate interior angles.
MARK ME BRAINLIEST!!
Simplify (I don't know how to write the question itself)
Answer:
16/9
Step-by-step explanation:
A survey showed that 4/5 of moviegoers think tickets are too expensive.
What percent of those surveyed think tickets are too expensive?
Answer:
80%
Step-by-step explanation:
5 times 20 = 100 so with that each 5th is 20% so 4 times 20 is 80
what is the chang in temperture from -24 to 15?
Answer:
38 degree difference
Step-by-step explanation:
24 + 15 =39
But they share the 0 degree spot so minus one.
39-1=38
PLEASE HELP!!
Does anyone know how to answer this question correctly
3/4 x +3-2x = -1/4 + 1/2x +5
Answer:
-9/5
Step-by-step explanation:
The work is in the paper
How do I write the number 17,497,403 well i know how to do it inside standard but my equation says “Write the number Seventeen million, four hundred ninety-seven thousand, four hundred three in standard form and expanded form using multiplication. And I don’t know how to do that
Step-by-step explanation:
Standard form is of course 17,497,403.
Expanded form is:
10,000,000 + 7,000,000 + 400,000 + 90,000 + 7,000 + 400 + 3
Which one is a function brainliest will be involved:)
Answer:
4th one because all the x values are different
Step-by-step explanation:
which equation could be used to find the number of minutes m in h hours
Answer: A
Step-by-step explanation:
Since we know that 60 minutes equals an hour, we can easily just divide an hour by 60 (minutes), and get the answer.
If you have any questions, leave them in the comments. I'll be happy to answer them!
The sugar sweet company is going to transfer its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.
Let C Represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this equation to find a total cost to transport 14 tons of sugar.
Answer:
C=$7650
Step-by-step explanation:
Flat fee of 4500
S= 225x
x=14 tons of sugar
4500+225(14)=$7650 (C)
Equation:
C=4500+225(S)
Answer:
Total cost to transport 14 tons of sugar: $7650
Step-by-step explanation:
In the problem we are trying to find, C, the total cost to transport 14 tons of sugar.
$4500 to rent trucks
Additional $225 for each ton of sugar transported
C=4500+225(S)
We have our equation so now when begin to solve.
The problem gives us, S, the number of tons of sugar we are transporting, which is 14 tons.
So if it is an additional $225 for each ton of sugar then we would multiply 225 and 14. Which will look something like this:
C=4500+225(14)
Now we just simplify!
225(14)=3150
C=4500+3150
C=7650
To make 3/4 pound it makes nuts how many pounds of cashews would you add to 1/8 pound them almonds and 1/4 pound of peanuts
9514 1404 393
Answer:
a. 3/8 lb of cashews
Step-by-step explanation:
The amount that needs to be added is the difference between the amount of mix wanted and the amount of mix provided by the given quantities of nuts.
3/4 lb - (1/8 lb +1/4 lb) = (3/4 -1/4 -1/8) lb = (2/4 -1/8) lb = (4/8 -1/8) lb
= 3/8 lb . . . . amount of cashews needed
Solve for y: 8x - 3y = 17
Option 1: y = -3/8 x - 17/3
Option 2: y = 8/3 x - 17/3
Option 3: y = -8/3 x + 17/3
Option 4: y = 3/8 x + 3/17
PLEASE SHOW STEPS.
Brainliest will be awarded to whoever answers with steps and correctly.
# 12 points
Answer:
x = 2.125 + 0.375y
Step-by-step explanation:
Simplifying
8x + -3y = 17
Solving
8x + -3y = 17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
8x + -3y + 3y = 17 + 3y
Combine like terms: -3y + 3y = 0
8x + 0 = 17 + 3y
8x = 17 + 3y
Divide each side by '8'.
x = 2.125 + 0.375y
Simplifying
x = 2.125 + 0.375y
Quadrilateral ABCD is translated to get quadrilateral A’B’C’D’. Vertex A is at (-5, 2), and vertex A’ is at (2, -2). Quadrilateral ABCD is translated blank. If vertex B is at (-6, 5), then vertex B’ is at blank
Answer:
vertex B' is at (1, 1)
Step-by-step explanation:
Let us revise the rules of translation of a point
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Let us use the rules to solve our question
∵ Vertex A = (-5, 2)
∵ Vertex A' = (2, -2)
→ The coordinates of the two points changed which means the
quadrilateral is translated horizontally and vertically
∵ The x-coordinate of A = -5
∵ The x-coordinate of A' = 2
→ Which means it moves to the right, so use the first rule above
∴ the rule of translation is T (x, y) → (x + h, y)
∴ x → x + h
∵ x = -5 and x + h = 2
∴ -5 + h = 2
→ Add 5 to both sides
∴ -5 + 5 + h = 2 + 5
∴ h = 7
∴ The quadrilateral is translated 7 units right
∵ The y-coordinate of A = 2
∵ The y-coordinate of A' = -2
→ Which means it moves down, so use the 4th rule above
∴ the rule of translation is T (x, y) → (x, y - k)
∴ y → y - k
∵ y = 2 and y - k = -2
∴ 2 - k = -2
→ Add K to both sides
∴ 2 - k + k = -2 + k
∴ 2 = -2 + k
→ Add 2 to both sides
∴ 2 + 2 = -2 + 2 + k
∴ 4 = k
∴ The quadrilateral is translated 4 units down
→ Let us find B'
∵ T (x, y) → (x + h, y - k) is the rule of translation
∵ B = (-6, 5)
∵ h = 7 and k = 4
∴ B' = (-6 + 7, 5 - 4)
∴ B' = (1, 1)
∴ vertex B' is at (1, 1)
Quadrilateral ABCD is translated 7 units right and 4 units down. If vertex B is at (-6, 5), then vertex B′ is at (1, 1)