Eduardo tiene un terreno cuadrado, su frente está determinado por las coordenadasb (2,3) y (18,3). Si se desea realizar una construcción dentro del terreno, para lo cual se necesita poner una malla a su alrededor. ¿Cuántos metros de malla necesita comprar Eduardo para rodear el terreno completo?

Answers

Answer 1
Answer:

Answer:

Eduardo necesita 64 metros de malla para cercar el terreno completo.

Step-by-step explanation:

Por Geometría recordamos que un cuadrado es una figura geométrica con cuatro lados de igual longitud y cuatro ángulos internos rectos. Hallamos la longitud del lado frontal por la Ecuación General de la Longitud de un Segmento de Recta:

l = \sqrt{(x_(B)-x_(A))^(2)+(y_(B)-y_(A))^(2)}(Eq. 1)

Donde:

x_(A), x_(B) - Componentes independientes inicial y final, medidos en metros.

y_(A), y_(B) - Componentes dependientes inicial y final, medidos en metros.

l - Longitud del segmento de recta, medidos en metros.

Si conocemos que A(x,y) = (2\,m, 3\,m) y B(x, y) = (18\,m,3\,m), entonces la longitud del segmento de recta es:

l =\sqrt{(18\,m-2\,m)^(2)+(3\,m-3\,m)^(2)}

l = 16\,m

El metraje requerido para cercar el terreno es el perímetro de ese lugar, es decir, cuatro veces la longitud del lado frontal. Es decir:

p = 4\cdot l(Eq. 2)

Donde p es el perímetro del cuadrado, medido en metros.

Si l = 16\,m, entonces el metraje requerdo para cercar el terreno es:

p = 4\cdot (16\,m)

p = 64\,m

Eduardo necesita 64 metros de malla para cercar el terreno completo.


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If x is 5 then 6x=
30 30x 5x

Answers

if x=5, then 6x= 30 because 6x5=30

(–2, –3) is the image produced by applying the composition T -2.4 rx to a point. What are the coordinates of the preimage?A.
(0, –1)
B.
(0, 1)
C.
(3, 4)
D.
(0, 7)

Answers

Answer:

D. (0,7)

Step-by-step explanation:

We are given that,

The point (-2,-3) is transformed by the composition T_(-2,-4)\circ R_(x).

That is, the point is first reflected across x-axis and then translated 2 units to the left and 4 units up.

So, the rule for the transformation is (x,y) → (x,-y) → (x+2,-y+4)

Thus, the image of (-2,-3) is given by,

(-2,-3) → (-2,3) → (-2+2,3+4) = (0,7)

That is, the image of (-2,-3) after transformation is (0,7).

So, option D is correct.

The ordered pairs below represent a linear relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

Which of the following is a correct statement about this relation?

A. The slope of the line represented by this table is -2 and the y-intercept is -4.
B. The slope of the line represented by this table is 2 and the y-intercept is 7.
C. The slope of the line represented by this table is 2 and the y-intercept is -4.
D. The slope of the line represented by this table is -2 and the y-intercept is 7.

Answers

Answer:

Option B -  The slope of the line represented by this table is 2 and the y-intercept is 7.

Step-by-step explanation:

Given : The ordered pair below represent a linear relation below x and y.

(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

The slope form isy=mx+c

where m is the slope of line and c is the y-intercept.

or to find slope between two points arem=(y-y_1)/(x-x_1)

Since they are ordered pairs so, there slopes were same

Let take points (-3,1), (-2,3)

m=(y-y_1)/(x-x_1)

m=(3-1)/(-2-(-3))=(2)/(1)=2

Therefore, the slope of the given linear function is 2

Now, we have to find y intercept we put in slope form

y=mx+c

y=2x+c

Given pairs are ordered therefore, they satisfy the above equation so let point (-2,3)

3=2(-2)+c

c=3+4=7

So, slope of the line is 2 and y-intercept is 7.

Therefore, Option B is correct.

Slope = rise/run
(-2,3) (0,7)

7-3 /0- -2 = 4/2= 2
When x = 0 y=7 intercept

Answer is B

A group of people bought movies tickets at the AMC Century City. They bought a total of 7 tickets, someadult and some kid tickets. They spent a total of $72. If adult tickets cost $12 and kid tickets cost $9, how
much of each were purchased?

Answers

You would just plug in numbers until you find two the work in the equation:

12x+9y=72

x=3 y=4

The correct answer is 3 adult tickets and 4 child tickets.

Hello!, 

First you would divide 72 by 12 which would be....6 okay 6 adults.

Second you would divide 72 by 9 witch is...... 8 kids

6 adults 8 kids

Casey is reading a book for a book report. At 3:30 P.M., he started reading where he had left off the day before. At 5:30 P.M. he was on page 160. At 8:00 P.M. he was on page 280. If reading the book is modeled by a linear function, what page did Casey start on at 3:30 P.M.?

A) 60
B) 64
C) 70
D) 74

Answers

Well, he can read 120 pages in 2.5 hours. So he can read 100 pages in 2hrs, the difference between 5:30 and 3:30 is two hours. So the answer is 60.

160-100=60. Hope this helped!

An elementary school is having a reading contest, to see which class can read the most number of minutes over the month. Each week, the teachers add up the number of hours their students have read at home and in school. What is the best way to display these weekly totals to show which class is ahead in the contest?A. bar graph
B. scatterplot
C. box-and-whisker plot
D. histogram

Answers

The best way to display the weekly totals to show which class is ahead in the contest is A. Bar Graph

Each bar will represent a different class. They can they compare which class the more hours students read.