Elena, Lin, and Noah all found the area of Triangle Q to be 14 but they reasoned about it differently, as shown in the diagrams below. Pick one of the three students and explain their way of thinking and why his or her answer is correct. Make sure you identify which student you are explaining.

Answer:

B=1 and the rest Im unsure of sorry hope this helps

Step-by-step explanation:

Answer: 2(x + 10)

Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together

16 + 2x + 4

2x + 20

Now you have to take out the highest common factor which is 2

So it will be 2(x + 10)

Answer: X = 9

Step-by-step explanation:

First insert the function into a graphing calculator.

We are trying to find the x intercepts, we substitute y=0.

With a graphing calculator look at where the line intercepts the x axis, (9,0) , and we find that x=9.

Answer:

In my thinking the answer is 9.

Answer:

the right answer is x = 9/2

Answer:

 y = -1/2x -3

Step-by-step explanation:

The line perpendicular to one with a slope of 2 will have a slope that is the negative reciprocal of 2, that is, -1/2. The given point is the y-intercept of the required line, so we can write its equation directly in slope-intercept form:

y = mx + b

where m is the slope (-1/2), and b is the y-intercept (-3). Your line is ...

 y = -1/2x -3

Answer:

No, but you can graph them by converting to mx+b form

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]

Answer:

15.25 hours

Step-by-step explanation:

her pay per hour is $27.2

414.80÷27.2=15.25

Answer: -6x + 18

Step-by-step explanation: multiply each expression in the brackets by -3

so, -3 x 2x = -6x and -3 x -6 will give you +18 or just 18

for a final answer of -6x + 18

Answer:

Length = 21

Width = 16

Step-by-step explanation:

We know that the formula for perimeter is:

P=2W+2L

And we also know that:

L=W+5

So then we put all that we know in the formula:

74=2W+2(W+5)

Now we expand the brackets and do some algebra:

74=4W+10 (-10)

64=4W (÷4)

16=W

Now that we know the width we can pop that into the length equation:

L=16+5

L=21

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

_ _

| - 17 |

PQ = | - 3 |

| - 37 |

|_ 49 _|

Answer:

.16666667

Step-by-step explanation:

(x)3=0.5

divide both sides by 3

x    =.16666667

Answer:

X=7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x-6=15

3x-6+6=15+6

3x=15+6

3x = 21

----   ----

3       3

x=7

Answer: what?

??????..???

Answer: [tex]\frac{170}{X}[/tex]+[tex]\frac{170}{X-9}[/tex]=2

(=)17 0x +170x+1530=2x²+18x

(=)-2 x² +322x+1530=0

Δ=b²-4ac

Δ=115924

[tex]\sqrt{}[/tex]Δ=340,476>0

because Δ>0 so that 2 X

=>x₁=2 (true), x₂=-161(false)

X+9= 2+9=11

first travel 2 mi/hr

second travel 11 mi/hr

Step-by-step explanation:

Answer:

8.2263565e+21

Step-by-step explanation:

im smart

Answer:

km that is k×m means k is multiplied by m

Answer:

212=70+(m X 0.40)

If $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Cost of car rent per day for 100 miles = $70

Additional cost per mile = $0.40

Let m = number of miles driven

Total cost for one day rental = $212

The equation that represents the additional m = miles driven for a day that cost $212 is:

212 - 70 = 0.40m

142 = 0.40m

m = 142 / 0.40

m = 355

This means 355 additional miles were driven.

The number of miles driven for the day is:

= 100 + 355

= 455 miles

Thus if $212 is the total cost for a one-day rental, the number of miles driven is 455 miles.

Learn more about equations here:

https://brainly.com/question/13906726

#SPJ5

The total amount in the account after 1 year will be $420

Based on the information given, the following can be deduced:

Principal = $400

Interest rate = 5%

Time = 1 year

Therefore, the simple Interest will be:

= PRT/100

= ($400 × 5 × 1)/100

= $2000/100

= $20

Therefore, the amount will then be:

= Principal + Interest

= $400 + $20

= $420

Therefore, the total amount is $420

Read related link on:

https://brainly.com/question/24989563

Answer:

75% of 60 = 45

Step-by-step explanation:

In order to find the answer to this question you need to divide the percentage of the number by one-hundred and then divide that number by the number the number you are trying to find the percentage of.

60/x=100/75

(60/x)*x=(100/75)*x        

60=1.33333333333*x      

(1.33333333333) to get x

60/1.33333333333=x

45=x

x=45

75% of 60 = 45

Hope this helps.

Answer:

-0.83

Step-by-step explanation:

Answer:

19. is 18

31. is 10y-x

Step-by-step explanation:

thats only what i know sorry

Answer:

Continuous

Step-by-step explanation:

Answer:

-5, -9

Step-by-step explanation:

This point is located in the fourth quadrant. When rotated at 270 degrees, it'll end up in the third quadrant. The rules for this quadrant is that both the x and y value will be negative.

Answer: I think is -9(5,)

Step-by-step explanation: