Correct answer would be the flute!
Answer:
Step-by-step explanation:
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
centro: (0,0)
focos: 
eje conjugado = 
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
de los focos podemos obtener que:
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
podemos utilizar la siguiente fórmula para obtener a:
si despejamos a en la ecuación obtenemos lo siguiente:
ahora podemos sustituir los valores:
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
si graficamos la hipérbola, queda como en el documento adjunto.
Answer:
1. D
2. D
3. B
Step-by-step explanation:
1. The y-axis of the graph is the volume of gas in the tank and the x-axis is the distance traveled. So the y-intercept represents how much gas is in the tank before it has been driven anywhere. D
2. Just by inspecting the graph, we can see that the x-intercept is 240. So answers a and c are denitely incorrect. Also, since we know the graph is comparing the distance from the house to time, we can observe that the x-intercept is when the cyclist is at home or 0 miles from their house. So the x-intercept must represent the duration of time it took the cyclist to reach home. D
3. Ok so we know the equation of the line is 3x-8y-12=0, and we're trying to find the x and y intercepts. So we can plug 0 in for x to find the y-intercept. And plug 0 in for y to find the x-intercept.
x-intercept: y=0
3x-8(0)-12=0
3x-12=0
3x=12
x=4
=> (4,0)
y-intercept: x=0
3(0)-8y-12=0
-8y-12=0
-8y=12
y=-3/2
=> (0,-1.5)
So the answer is B
4. We can see that one prize is worth $6, so in theory, if the relation was linear we should be able to say that the cost of the number of prizes you buy is 6 times the number of prizes bought. Since we can see that that is not true, we can determine that the data is non-linear. We can also tell that the data is discrete because you can't buy a partial prize. So the answer is C
I'm sorry I don't have time to finish the rest of the questions!! I hope my other answers are helpful though!
If I’m not mistaken it should be 8x+25. :)
Hope this helps!
Answer:
83
Step-by-step explanation:
Add the numbers together
