The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two integers.​

Answer:

22 > x > 10

Step-by-step explanation:

By the triangle inequality, the length of the 3rd side must be less than the sum of the two other sides and greater than the positive difference of the other two sides.  Thus, 6 + 16 > x > 16 - 6

22 > x > 10

Answer:

-12

Step-by-step explanation:

Answer:

-8(-4+x)

Step-by-step explanation:

This is because the value of all the numbers never changes. Because

"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.

Hope this helps! :)

Answer:

purple in the top left

Step-by-step explanation:

um I don't know, it looks right, lol I'm sorry I hope this helps you let me know if its right

Answer:   3

Step-by-step explanation:

Let the number be 'a'.

Since the difference between 13 and a number is 4 more than twice the number,  then    13 - a = 2a + 4

            ⇒    13 - a = 2a + 4

                       2a + a = 13 - 4

                            3 a = 9

                               a = 3

Answer:

36°

Step-by-step explanation:

it's the same as the given number.

lines l, m, and n are parallel to each other and the same line is intersecting all three of them. since the 36° angle is in the same placement as the x° angle, they are the same.

have a lovely day <3

Answer:

first of all tell in the clear manner that anyone can easily understand

Answer:

C is your answer

Answer:

Step-by-step explanation:

Cost of 1 kg of Potatoes = $ 2

Cost of 1 kg of Carrots = $ 2.40

Let the cost of 1 kg of Potatoes = x

Let the cost of 1 kg of Carrots = y

ATQ , 8x + 5y = 28 - 1)

2x + 3y = 11.20 - 2)

Multiplying 2) by 4

8x + 12y = 44.80 - 3)

Applying Elimination method in 1) and 3)

8x + 5y = 28.00

8x + 12y = 44.80

0 + -7y = - 16.80

y = 16.8/7

y = 2.4

Putting the value of "y" in 1)

8x + 5(2.4) = 28

8x + 12 = 28

8x = 16

x = 16/8

x = 2

Answer is in picture below

:)

Answer:

so the answer will be 1

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 5 hours.

An auxilary pump can empty the tanker in 14 hours.

If the main pump is started at 7pm, when should the auxilary pump be started

so that the tanker is emptied by 11pm?

:

Let t = no. of hrs to run the Aux pump

:

The main pump will run 4 hr (7 - 11 pm)

:

Let the completed job = 1; (an empty Tanker)

:

The shared work equation

4%2F5 + t%2F14 = 1

Multiply equation by 70 to get rid of the equation, results:

14(4) + 5t = 70

56 + 5t = 70

5t = 70 - 56

5t = 14

t = 14%2F5

t = 2.8 hrs to run the aux pump

:

2.8 hr = 2 + .8(60) = 2 hrs 48 min

:

Subtract 2:48 from 11:00 = 8:12 PM start the aux pump

;

;

Check solution

4/5 + 2.8/14 =

.8 + .2 = 1

[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]

Option A. x = 36

Hope it helps

ray4918 here to help.

_____________

[tex] \: [/tex]

x + 18 = 54

x = 54 - 18

x = 36✔ (A.)

Answer:

1.001e+17

Step-by-step explanation:

Answer:

(x, y) = (57/4, 31/4)

Step-by-step explanation:

-2x + 6y = 18

-2x = 18 - 6y

x = -9 + 3y

3(-9 + 3y) - 5y = 4

-27 + 9y - 5y = 4

4y = 31

y = 31/4

x = -9 + 3(31/4) = 57/4

Answer:

Step-by-step explanation:

-5y=4-3x

y=(4/-5)-(3/-5x)

2x+6y=18

6y=18-2x

y=18/6-(2/6x)

y=y

(4/-5)-(3/-5x)=18/6-(2/6x)

0.93x=3.8

x=3.8/0.93

x=4.09

sub 4.09 for the 3x-5y=4

which will give you y=1.65

sub 4.09 for -2x+6y=18

which will give you y=4.36

Answer:

124.3

Step-by-step explanation:

42.15+20.00=1/2x

62.15=1/2x

62.15*2

124.3 is the total of her paycheck.

42.1<20.00+x

Based on the cost of filling of the car, we can infer that Mr. Johnson does not have enough to spend on gas.

The car can take 25 gallons of gas and already has 4 liters inside it. The quantity of gas Mr. Johnson has to buy is:

= 25 - 4

= 21 gallons

The price of a gallon is $3.04. The price of 21 gallons would be:

= Price of gas x Number of gallons

= 3.04 x 21

= $63.84

In conclusion, Mr. Johnson does not have enough to spend on gas because he has only $50 yet the gas will cost $63.84.

Find out more at https://brainly.com/question/21060271.

Answer:

B

Step-by-step explanation:

Diameter is across a circle or a circular object. The Radius is half of the diameter. For example if the diamter was 6, the radius would be 3. You can always find radius by dividing the diameter by 2.

Answer:

.

Step-by-step explanation:

3x + x^2 + 2x

= x^2 + 5x

As x goes to negative infinity,

x^2 is always positive and will be higher than  5x as x  increases so

f(x) goes to infinity

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]

Answer: p = - 5.8

Step-by-step explanation:

0.7p - 0.2p = -9.57 + 6.67

0.5p = -2.9

p =  [tex]\frac{-2.9}{0.5}[/tex]

p = - 5.8

please give me a brainliest answer

Answer: if the circumference is 76 the area is 38

Step-by-step explanation:

Answer:

Follow the steps below!

Step-by-step explanation:

If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.

Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler  or other straight edge if straight lines are a challenge to draw.

Answer:

B) or C)

Step-by-step explanation:

Step-by-step explanation:

As you know

[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]

1.

[tex]3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}[/tex]

2.

[tex]2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}[/tex]

3.

[tex] - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} [/tex]

Answer:

180°is the sum of the interior angles of an equilateral triangle

Answer:

1, 10, 16

Step-by-step explanation:

Substitute the given values of x into f(x)

f(0) = 3(0) + 1 = 0 + 1 = 1

f(3) = 3(3) + 1 = 9 + 1 = 10

f(5) = 3(5) + 1 = 15 + 1 = 16

Answer:

2

Step-by-step explanation:

-2+4=2

Answer:

18

Step-by-step explanation:

The boys collected:

12 · 16 = 192

The girls collected:

15 · 14 = 210

So the girls collected 18 more cans more than the boys.

(Integers calculation)

Answer:

C.

Step-by-step explanation:

5/7=.714285714 and so on

7/9=.777777778 and so on

Answer:

>

Step-by-step explanation:

28.45 >3+hgydnjsjsjjsjkso

Answer:

Step-by-step explanation:

Find the values of expressions and compare with -12.48:

#1

Yes

#2

No

#3

Yes