Hello there!
Knowing that the vertex form of the quadratic equation is
y=a(x-h)^2+k where (h,k) represents the vertex, and the a value represents the leading coefficient of the quadratic equation in standard form, first plug in your known values (your given coordinate point can be plugged into the x and y values, and your given vertex can be plugged into h and k):
-4=a(0-10)^2-9
Because your a value is still unknown, you can use your given values in the equation to solve for a:
-4=a(-10)^2-9
-4=100a-9
100a=5
a=1/20
Now that you have your a value, you can plug it into your vertex form as well as your vertex values to get that your equation in vertex form is:
y=1/20(x-10)^2-9
Answer:
No; the blue region is larger.
Step-by-step explanation:
The area of the blue region is 64π = 200.96 square inches, while the area of the yellow region is 121π - 64π = 178.98 square inches.
Answer:
El precio de la entrada al cine es de <em>$56</em>
Step-by-step explanation:
Cada uno de los 4 amigos las 2 veces por semana consumen un paquete de palomitas que cuesta: $28 ; entonces debemos multiplicar el costo de las palomitas por las dos veces que las consumen para saber el costo total de las palomitas:
28 x 2 =$56
El ejercicio nos dice que al no comer esas dos veces palomitas pueden ingresar a cine una tercera vez por semana ,lo que significa que al no pagar los $56 en palomitas podrán pagar una tercera entrada,lo que quiere decir que la entrada a cine es de $56.
Entonces podemos hacer la siguiente relación matemática: <em> Precio total de las palomitas dos veces por semana = Precio de la entrada a cine</em>.
Answer:
226.48°F
Step-by-step explanation:
Temperature of the oven = 298°F
if it has risen 76% of this amount so far, the number of degrees Fahrenheit the inside of the oven has risen so far can be expresses as:
= 76% of 298
= 76/100 * 298
= (76*298)/100
= 0.76*298
= 226.48°F
The temperature inside the oven so far is 226.48°F
