Answer:
234
Step-by-step explanation:
The midline is the y value that runs straight through the middle of the wave.If you can picture the standard sine function graph. f(x) = Sin(x) reaches a maximum y = 1 and minimum y = -1 so the midline is y =0.
This equation is shifted up 6 so the midline is shifted up 6
y = 6 is equation for midline
Since BA is half of YX, the scale factor is 2.
Find the values of the other line segments.
BA = 11
BC = 44/2 = 22
AC = 32 / 2 = 16
Find the perimeter.
p = 11 + 22 + 16
p = 33 + 16
p = 49
Therefore, the answer is 49.
Best of Luck!
Answer: 3
Step-by-step explanation:
In theory we know that the equation of a linear function is expressed as
Eq.(1): y = m*x + c,
where m is the slope and c is a constant.
From the table we know the values of x and y, so we can use any of those, but in this case lets use the first and third rows of the table and substituting in Eq.(1) we obtain a 2-equation system as follow:
Point (-2,-2) gives: -2 = (-2)*m + c Eq.(2)
Point (0,4) gives: 4 = (0)*m + c Eq.(3)
Now rearranging Eq.(2) we get: -2 = -2*m + c <=> -2 - c = -2m Eq.(4)
Then rearranging Eq.(3) we get: 4 = 0 + c <=> c = 4
Plugging the value of c in Eq.(4) we get:
-2 = -2m + 4 <=> -2 - 4 = - 2m <=> -6 = -2m <=> m = 3
So finally and from Eq.(1) we obtain
y = 3x + c
Answer:
La mayor tiene 61 años.
Step-by-step explanation:
Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.
Tenemos las siguientes ecuaciones:
(la suma de las edades es 127)
(la mayor tiene 30 años más que la menor)
La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"
(la del intermedio tiene 26 menos que la mayor).
La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos
Obtenemos la ecuación
Sumando 56 a ambos lados y dividiendo por 3, obtenemos
Es decir la mayor tiene 61 años.
