Answer:
Slope = 0.667/2.000 = 0.333
x-intercept = 6/1 = 6.00000
y-intercept = 6/-3 = 2/-1 = -2.00000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-12*y-(24)=0
Step 1: Pulling out like terms
Pull out like factors :
4x - 12y - 24 = 4 • (x - 3y - 6)
Equation at the end of step 1:
Step 2:
Equations which are never true:
Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Equation of a Straight Line
Solve x-3y-6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-3y-6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000
y-intercept = 6/-3 = 2/-1 = -2.00000
Calculate the X-Intercept :
When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000
x-intercept = 6/1 = 6.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.667/2.000 = 0.333
Geometric figure: Straight Line
Slope = 0.667/2.000 = 0.333
x-intercept = 6/1 = 6.00000
y-intercept = 6/-3 = 2/-1 = -2.00000
I don’t know how do do this please help me cuz this is due before 7
Answer:
That's all
Step-by-step explanation:
you need to replace the values then solve
Answer:
27. 1^-8 = 1/1^8 = 1
28. 2^-5 = 1/2^5 = 1/32
29. -3^-3 = - 1/3^3 = - 1/27
30. 2^-1 = 1/2 = 1/2
31. -3^-4 = - 1/3^4 = - 1/81
32. 5^-3 = 1/5^3 = 1/125
33. 1^-99 = 1/1^99 = 1
34. 1^-3 = 1/1^3 = 1
35. 4^-3 = 1/4^3 = 1/64
36. 2^-3 = 1/2^3 = 1/8
Step-by-step explanation:
Rewrite the expression using the negative exponent rule b^−n=1/b^n
1/2^3
Raise 2 to the power of 3
1/8
The result can be shown in multiple forms, but this is fraction form.
1/8
I hope it helps!!
What is the total surface area of a right cylinder with diameter 14 inches, and height 5 inches
Answer:
The total surface area is 527.79in²
Step-by-step explanation:
I am REALLY good at area!
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Show your work)
Answer:
15.5 because you have to take away some point
Step-by-step explanation:
you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5
_______
[tex] \: [/tex]
x² = (15.8)² - (5.3)²
x² = 249.64 - 28.09
x² = 221.55
x = √221.55
x ≈ 15
PLEASE HELP ITS DUE TOMORROW Rina draws hexagon GHJKLM. She rotates this figure by 180° about the origin to create hexagon G'H'J'K'I'M'.
Which THREE statements are TRUE?
A
G'H' is parallel to L M.
B
ZG'M'L' is a right angle.
С
J'K' is perpendicular to GM
D
ZH'J'K' is congruent to ZHJK.
E
J'K' has twice the length as JK.
Answer:
A, B, D
Step-by-step explanation:
C is wrong. J'K' is not perpendicular to GM
E is wrong. Rotating the figure 180 degrees, does not change the size of any line segments. So J'K' cannot be twice the length of JK
There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, and two orange flavored. What would be the probability of picking a banana, cherry, or a strawberry flavored candy from the bag? Write your answer as a simplified fraction in a/b form.
Answer:
The answer is 7/15
what is the slope of a line parallel to the line whose equation is 2x + y = 3?
Step-by-step explanation:
Here is the answer to the question
Answer:
-2/1
Step-by-step explanation:
Rewrite equation in point-slope form
y=-2x+3
in y=mx+b, m= the slope
The slope of the line is -2/1
Any lines parallel to this line will have the same slope
! ! ! Angles ! ! !
(worth ten points)
Which is the best explanation of why triangles ABC and ACD are similar?
A.) Both triangles are right triangles.
B.) Both triangles contain angles A and C.
C.) Both triangles a right angle and angle A.
D.) Both triangles contain a right angle and angle C.
Answer:
the answer is a :)
Step-by-step explanation:
You buy a new notebook for school the notebook cost to buy or one dollar Martha comes to $3.46And the taxIs 6%How much of the percentWhat is the markupAnd whatIs your finalPrice for The notebook with tax
Answer:
AHHHH I LOVE YOUR PROFILE PICTURE GOKU IS THE BEST <3 :D
Are the graphs of the equations parallel, perpendicular, or neither? y = 4x + 1 and y = -4x -
Answer:
I am not sure if you fully typed the second equation, but both of these that are written down intersect, there for are perpendicular.
If the second equation is incorrect, let me know and I'll be happy to help you :)
Kerri sold her purse for $351. She had originally purchased it for $316. Calculate her profit or loss percentage.
Answer:
$35 profit
Step-by-step explanation:
351-316=35
Answer:
$35
Step-by-step explanation:
she bought it for $316 and sold it for more than she bought it for so we know that she made money.
so all we have to do is subtract 351 from 316
in the given parallelogram ABCD , find the value of x and y
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Value of given variables are :
[tex]x = 36 \degree[/tex][tex]y = 37 \degree[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
The solution is in attachment ~
in the given parallelogram ABCD , find the value of x and y
Answer:
x = 36
y = 37
Here is a linear equation in two variables: 2x+4y−31=123
Answer:
y=−11x+77/2
Step-by-step explanation:
The procedure for solving simultaneous linear equations now called Gaussian elimination appears in the ancient Chinese mathematical text Chapter Eight: Rectangular Arrays of The Nine Chapters on the Mathematical Art. Its use is illustrated in eighteen problems, with two to five equations.[4]
Systems of linear equations arose in Europe with the introduction in 1637 by René Descartes of coordinates in geometry. In fact, in this new geometry, now called Cartesian geometry, lines and planes are represented by linear equations, and computing their intersections amounts to solving systems of linear equations.
The first systematic methods for solving linear systems used determinants, first considered by Leibniz in 1693. In 1750, Gabriel Cramer used them for giving explicit solutions of linear systems, now called Cramer's rule. Later, Gauss further described the method of elimination, which was initially listed as an advancement in geodesy.[5]
In 1844 Hermann Grassmann published his "Theory of Extension" which included foundational new topics of what is today called linear algebra. In 1848, James Joseph Sylvester introduced the term matrix, which is Latin for womb.
Linear algebra grew with ideas noted in the complex plane. For instance, two numbers w and z in {\displaystyle \mathbb {C} }\mathbb {C} have a difference w – z, and the line segments {\displaystyle {\overline {wz}}}{\displaystyle {\overline {wz}}} and {\displaystyle {\overline {0(w-z)}}}{\displaystyle {\overline {0(w-z)}}} are of the same length and direction. The segments are equipollent. The four-dimensional system {\displaystyle \mathbb {H} }\mathbb {H} of quaternions was started in 1843. The term vector was introduced as v = x i + y j + z k representing a point in space. The quaternion difference p – q also produces a segment equipollent to {\displaystyle {\overline {pq}}.}{\displaystyle {\overline {pq}}.} Other hypercomplex number systems also used the idea of a linear space with a basis.
Arthur Cayley introduced matrix multiplication and the inverse matrix in 1856, making possible the general linear group. The mechanism of group representation became available for describing complex and hypercomplex numbers. Crucially, Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object. He also realized the connection between matrices and determinants, and wrote "There would be many things to say about this theory of matrices which should, it seems to me, precede the theory of determinants".[5]
Benjamin Peirce published his Linear Associative Algebra (1872), and his son Charles Sanders Peirce extended the work later.[6]
The telegraph required an explanatory system, and the 1873 publication of A Treatise on Electricity and Magnetism instituted a field theory of forces and required differential geometry for expression. Linear algebra is flat differential geometry and serves in tangent spaces to manifolds. Electromagnetic symmetries of spacetime are expressed by the Lorentz transformations, and much of the history of linear algebra is the history of Lorentz transformations.
The first modern and more precise definition of a vector space was introduced by Peano in 1888;[5] by 1900, a theory of linear transformations of finite-dimensional vector spaces had emerged. Linear algebra took its modern form in the first half of the twentieth century, when many ideas and methods of previous centuries were generalized as abstract algebra. The development of computers led to increased research in efficient algorithms for Gaussian elimination and matrix decompositions, and linear algebra became an essential tool for modelling and simulations.[5]
Vector spaces
Main article: Vector space
Until the 19th century, linear algebra was introduced through systems of linear equations and matrices. In modern mathematics, the presentation through vector spaces is generally preferred, since it is more synthetic, more general (not limited to the finite-dimensional case), and conceptually simpler, although more abstract.
A vector space over a field F (often the field of the real numbers) is a set V equipped with two binary operations satisfying the following axioms. Elements of V are called vectors, and elements of F are called scalars. The first operation, vector addition, takes any two vectors v and w and outputs a third vector v + w. The second operation, scalar multiplication, takes any scalar a and any vector v and outputs a new vector av. The axioms that addition and scalar multiplication must satisfy are the following. (In the list below, u, v and w are arbitrary elements of V, and a and b are arbitrary scalars in the field F.)[7]
the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?
Answer:
75 words
Step-by-step explanation:
15*5=75
each dollar is five words, so times five by fifteen to get the number of words she can use.
A store sells a 3 -pound bag of oranges for $3.60 and a 5 -pound bag of oranges for $5.25 . What is the difference between the price per pound for the 3 -pound bag of oranges and the price per pound for the 5 -pound bag of oranges
Answer:
The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound
So, Five pound would cost 15 cents less than the 3 pounds
Step-by-step explanation:
Divide the price by the pounds
Hope this helps
what is 4/2/3 x 1/3/7 ?
Answer: 2/63
Step-by-
Answer:
Hello,There! I'll be glad to help!
Questionwhat is 4/2/3 x 1/3/7 ?
Answer[tex]6\frac{2}{21}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
[tex]4 +\frac{2}{3} + 1 +\frac{3}{7}[/tex]
Solving the whole number parts
[tex]4 + 1 =5[/tex]
Solving the fraction parts
[tex]\frac{2}{3}+\frac{3}{7} =?[/tex]
Find the LCD of 2/3 and 3/7 and rewrite to solve with the equivalent fractions.
LCD = 21
[tex]\frac{14}{21} +\frac{9}{21} =\frac{23}{21}[/tex]
Simplifying the fraction part, 23/21,
[tex]\frac{23}{21} =1\frac{2}{21}[/tex]
Combining the whole and fraction parts
[tex]5 + 1+ \frac{2}{21} =6\frac{2}{21}[/tex]
Hence, The answer is [tex]6\frac{2}{21}[/tex]
Answer the question as soon as possible
Answer:
D. DistributiveStep-by-step explanation:
This is:
a(b + c) = ab + ac - Distributive propertyCorrect choice is D
In a triangle abc angle a =x and angle b=2x what is the size of angle c
Answer:
∠c = 180 - 3x
Step-by-step explanation:
Triangle interior angles = 180.
Remember this fact:
The sum of the angles of any polygon = (number of sides in the figure - 2)(180)
∠a = x
∠b = 2x
∠c = 180 - 3x
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid. For how much did he sold the video game? please help, WITH EXPLANATION ASWELL !!
Answer:
£22.8
Step-by-step explanation:
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.
First, find
40% of £38
=£15.2
Then, find the price of which he sold the video game for...
£38 – £15.2
= £22.8
Hope this helped you- have a good day bro cya)
A farmer rotates wheat, corn, and soybean crops on her farm the farmer produces 293 bushels of produce and sells them for a total of $1,557
The average amount earned based on the information given is $5.31 per product.
Number of farm products = 293
Total amount earned = $1557
Therefore, the average amount will be gotten by dividing the total amount by the number of farm products and this will be:
= $1557/293
= $5.31
In conclusion, the average will be $5.31.
Read related link on:
https://brainly.com/question/25276097
the probability distribution of all possible values of the sample proportion is the
Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.
What is the missing statement in the proof?
Solve for x: 16 = x + 32
Answer:
Step-by-step explanation:
-16
Answer:
x= -16
Step-by-step explanation:
You want to purchase 7 Rubik’s cubes for a Rubik’s cube you are starting. A Rubik’s cube cost $7.99 How much does it cost to buy all seven to start your Rubik’s cube club
Answer:
just multiply 7.99 * 7. your tryna find how much 7 rubrics cubes cost so your answer should be 55.93 or 56
Step-by-step explanation:
[tex]\sf 7-5x=-43[/tex]
Answer:
[tex]\sf\longmapsto \: x = 10[/tex]
Step-by-step explanation:
Subtract 7 from both sides:
7−5x−7=−43−7
Simplify:
−5x=−50
Divide both sides by −5:
[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]
[tex]\sf\longmapsto \: x = 10[/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
x=10
Step-by-step explanation:
[tex]7-5x=-43[/tex]
[tex]7-5x-7=-43-7[/tex] Subtract
[tex]-5x=-50[/tex]
[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide
[tex]x=10[/tex]
What is the 6th multiple of 13?? I have no idea and I’m in set 1 rip
Answer:
78
Step-by-step explanation:
Write out the 13 times tables: 13, 26, 39, 52, 65, 78, ... 78 is the 6th number.
You can also do 13 × 6 which is 78.
Hope this helps!
Answer:
78
Step-by-step explanation:
8= -2/5c c=
What does c= ?
Answer:
c = -20
Step-by-step explanation:
8/-0.4=-20.
8 = (-2/5) * 20
[tex]\sf 29=8x-3[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is :
[tex]4[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
[tex]29 = 8x - 3[/tex][tex]29 + 3 = 8x[/tex][tex]8x = 32[/tex][tex]x = 32 \div 8[/tex][tex]x = 4[/tex][tex]\huge{\mathfrak{Kaul}}[/tex]
Expand the brackets in this expressions
(2y)²
Answer:
4y²
Step-by-step explanation:
(2y)² = 2²*y² = 2*2*y² = 4y²
2 3/5 + 5 1/4 in a fraction
Step-by-step explanation:
[tex]2\frac{3}{5} +5\frac{1}{4}[/tex]
= [tex]\frac{13}{5} +\frac{21}{4}[/tex]
= [tex]\frac{52 + 105}{20}[/tex]
= [tex]\frac{157}{20}[/tex] Or [tex]7\frac{17}{20}[/tex]
Please give me a brainliest answer
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answer:
Step-by-step explanation:
70% or more 70% is most likely a b-
