All categories

3 years ago

E bisects line segment df. df=2y, and ef=8y-3. find de, ef, and df.

Mathematics

1 answer:

Usimov [2.4K]3 years ago

8 0

1/2DF = EF

1/2(2y) = 8y - 3

Multiply 1/2 * 2y.

y = 8y - 3

Subtract 8y from both sides.

-7y = -3

Divide both sides by -7.

y = 3/7

Plug 3/7 for y into DF and EF.

DF: 2(3/7) = 6/7

EF: 8(3/7) - 3 = 24/7 - 3 = 3/7

EF = DE because they are bisected, so DE = 3/7

You might be interested in

What value of b will cause the system to have an infinite number of solutions?

irga5000 [103]

b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

Solution:

Need to calculate value of b so that given system of equations have an infinite number of solutions

$\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}$

Let us bring the equations in same form for sake of simplicity in comparison

$\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}$

Now we have two equations

$\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}$

Let us first see what is requirement for system of equations have an infinite number of solutions

If $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ are two equation

$\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ then the given system of equation has no infinitely many solutions.

In our case,

$\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}$

As for infinitely many solutions $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$

$\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}$

Hence b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

8 0

3 years ago

What is the degree of each monomial? -9 a. -8 b. 0 c. -10 d. -9

laiz [17]

Any monomial without a written exponent has a degree of 1.

$-9^1=-9$

6 0

3 years ago

Read 2 more answers

53 + 88 = , ADJUST THE SUM OR DIFFERENCE

Hitman42 [59]

I have a sum because it is an addition problem

5 0

3 years ago

Read 2 more answers

Stacy thinks her employer may not be withholding the correct amount from her paychecks for state income tax. She made arrangemen

lyudmila [28]

The answer is B) Stacy’s employer is withholding too little for state income tax.

Stacy's state income tax withholding should be:
163.88 x 19% = $31.14, which is less than $24.58

4 0

3 years ago

The table shows values for functions

Studentka2010 [4]

Answer:

The study examined stochastic stability of EEG samples recorded in succession from the same healthy volunteer at unchanged state. The absence of statistical repetitions not only for EEG samples, but also for the corresponding spectral densities was proven. A method to calculate the pairwise comparison matrices of ECG samples and quasi-attractors was proposed. The diagnostic effectiveness of these calculations was demonstrated during photostimulation, when successive EEG samples chaotically changed under overall homeostatic conditions.

Discover the world's research

20+ million members135+ million publications700k+ research projectsJoin for free

No full-text available

To read the full-text of this research,

you can request a copy directly from the authors.

Request full-text PDF

Citations (13)

References (16)

... It was about the need for a third science that W. Weaver spoke about in 1948 [8]. Now it is the theory of chaos-self-organization, which, according to K. Gödel's theorem, has gone beyond the bounds of deterministic and stochastic science -DSS [9][10][11][12][13][14][15][16][17][18]. ...

... that the European Association of Cardiology recommends registering the heart rate for at least 5 minutes (for example, the parameters of the cardio intervals). At the same time, it is believed that during this period a sample of 300 (or more) cardio intervals will be obtained, and this sample should be quite representative [14][15][16][17][18]. ...

... What kind of evidence-based medicine can we talk about in the study of cardiovascular system if 85% or more of the compared cardio intervals samples do not statistically coincide (they do not belong to the same general population)? Obviously, further use of stochastic methods is not advisable [14][15][16]20-23] for cardiovascular system studying, which was pointed out by W. Weaver [8]. ...

New computational methods for investigation of the third type of systems

Conference Paper

Nov 2021

V. V. EskovM. A. FilatovV. GalkinO. Filatova

View

Show abstract

... Иными словами, за последние 20 лет был открыт огромный класс объектов и систем, которые не могут быть диагностированы и смоделированы (описаны) в рамках существующих теорем и моделей (на базе ДСН). В первую очередь, речь идет о работе мозга [8][9][10][11][12] и о поведении любых биосистем, образующих организм человека [13][14][15][16][17]. ...

... С позиций статистики мозг любого человека генерирует непрерывный статистический хаос (неповторяющиеся выборки). 0,00 0,00 0,00 0,00 0,38 0,00 0,00 0,08 0,06 0,00 0,00 0,07 0,00 0,01 10 0,28 0,00 0,01 0,00 0,66 0,21 0,00 0,93 0,06 0,00 0,00 0,36 0,00 0,00 11 0,31 0,00 0,30 0,06 0,03 0,52 0,01 0,15 0,00 0,00 0,00 0,05 0,00 0,00 12 0,00 0,00 0,02 0,03 0,00 0,00 0,19 0,00 0,00 0,00 0,00 0,00 0,00 0,00 13 0,90 0,00 0,10 0,04 0,21 0,66 0,00 0,97 0,07 0,36 0,05 0,00 0,00 0,00 14 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 0,00 15 0,00 0,58 0,00 0,00 0,00 0,00 0,00 0,00 0,01 0,00 0,00 0,00 0,00 0,00 Такой результат мы получили по всем параметрам организма человека и доказали [12][13][14][15][16][17][25][26][27][28][29][30] особые свойства биосистем. Очевидно, что любая система ИИ на базе ЭВМ не сможет диагностировать стационарное состояние мозга (см. ...

... 1), мышц, работы сердца и т.д. Тем более ИИ не сможет идентифицировать реальные изменения в СТТ (биосистемах) [15][16][17][18][19][20][21][22]. ...

Artificial Intellect with Artificial Neural Networks

Article

Oct 2021

Валерий ЕськовМ.А. ФилатовГ.В. ГазяН.Ф. Стратан

View

Show abstract

... These special properties of the TTS (complexity) are based on the lack of statistical stability of any samples of the components of the state vector of any biosystem x=x(t)=(x1, x2, …, xm)T, where xi(t) represents the parameters of the biosystem. This was first proved in the form of the Eskov-Zinchenko effect (EZE) in biomechanics [5][6][7][8][9][10], and then for other biosystems [11][12][13][14][15][16]. The EZE extends not only to samples of tremorograms (TMG), teppinggrams (TPG), electromyograms (EMG), RR intervals (RR) and other parameters of the human body, but also to their spectral densities of signals (SDS), autocorrelations A(t) and other characteristics xi(t). ...

... Elements of this matrix (see table 1) represent the Newman-Keuls test p for pairwise comparison of TMG samples. If p≥0.05, then this compared pair of TMG can be attributed to one (same) sampled population [11][12][13][14][15][16]. From table 1, it follows that the number k1=7 of such pairs is extremely small. ...

8 0

2 years ago