Answer:
La norma de los signos es para el producto de números reales, y la norma es la siguiente.
(+)*(+) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(-)*(-) = (+)
Es decir, el producto de dos números de mismo signo es siempre positivo
El producto de dos números de distinto signo es siempre negativo.
Particularmente, para la suma esta norma no funciona (pues no está definida para la suma)
Pero en casos como:
5 - (-4)
(esto sería: "la diferencia entre cinco y menos cuatro")
notar que podemos reescribir esto como:
5 + (-1)*(-4)
Ahora podemos aplicar la norma de los signos:
5 + 4 = 9
Donde aplicamos la norma de los signos,
Podemos concluir que, si bien es una regla que aplica al producto, siempre la tenemos que tener en cuenta en cualquier operación que hagamos.
Por lo podemos concluir que la respuesta correcta es verdadero.
Step-by-step explanation:
Given that,
A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,
We know that,
Speed = distance/time
The rate while moving downstream
The rate while moving upstream 
The rate of the boat in still water is the average of these:
The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph
Hence, this is the required solution.
After plotting the data, we get a linear line and the right region represents the solution to the inequality.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have an inequality:
x - 2y > -6
As we can see in the inequality, there is a greater than sign, which shows at the boundary there will be a dotted line.
The x-intercept will be at x = -6
The y-intercept will be at y = 3
Thus, after plotting the data, we get a linear line and the right region represents the solution to the inequality.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Answer:
(x-7)^2 + (y-2) ^2 = 130
Step-by-step explanation:
We need to find the length of the radius
the length of the radius is found by using the distance formula
r = sqrt( ( -2-7)^2+( -5 -2)^2)
sqrt( ( -9)^2+( -7)^2)
sqrt( 81+49)
sqrt(130)
The formula for a circle is
(x-h)^2 + (y-h) ^2 = r^2
where (h,k) is the center and r is the radius
(x-7)^2 + (y-2) ^2 = 130
W can be represented in the following equation: 14/tan 38°=w
Since tan 38 equals 0.78128563, we divide 14 by 0.78128563 which gives a value of 17.91
W= 17.91
W+X (which is the whole lenght) can be represented in the equation: w+x=14/tan 19°
So
17.9+X=14/0.34432761
we isolate for x and obtain
X= 40.65-17.9
X=22.75 (which we round to 22.8)
So the answer is option 4:
w = 17.9; x = 22.8
