The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet
<h3>The length of each side of the polygon?</h3>
To do this, we simply calculate the number of units on each side of the polygon.
So, we have:
S1 = 5 units
S2 = 8 units
N1 = 13 units
E1 = 7 units
W1 = 3 units
W2 = 4 units
<h3>The perimeter of the polygon</h3>
This is the sum of the side lengths.
So, we have:
Perimeter = 5 + 8 + 13 + 7 + 3 + 4
Perimeter = 40
Each unit equals 25 feet.
So, we have:
Perimeter = 40 * 25 feet
Evaluate
Perimeter = 1000 feet
Hence, the perimeter of the factor is 1000 feet
Read more about perimeter at:
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You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.
but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:
"the venue will cost $1500 to rent for an evening"
"$25 per person"
so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.
$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"
with that information, write any other equation you would for a word problem:
y = 25x + 1500
that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.
and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.
y = 25x + 1500
when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)
when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)
when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)
i hope that helped!!
Answer:
The solution of this system of equations is (3 , -8)
Step-by-step explanation:
The given system is
x + 2y = -13
12x + 5y = -4
We make x the subject of the first equation and put it into the second:
We put this expression for x into the second equation
12(-13-2y)+5y=-4
-156-24y+5y=-4
-24y+5y=-4+156
-19y=152
y=-8
We substitute y=-8 into x=-13-2y to get:
The solution of this system of equations is (3 , -8)
Answer:
4
Step-by-step explanation:
Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.
Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.
Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.
<u>Obtención del MCD original:</u>
a) 6 + 8 = 14
b) 4 + 8 = 12
c) 2 + 8 = 6
d) 6 + 8 = 2
Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.
<u>Para el 6432:</u>
6432 / 2 = 3216
6432 / 6 = 1072
6432 / 12 = 536
6432 / 14 = 459,24
Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:
<u>Para el 132:</u>
132 / 2 = 66
132 / 6 = 22
132 / 12 = 11
Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:
<h2>
12 - 8 = 4</h2>
Exitos
