Step-by-step explanation:
General quadratic equation: y = ax² + bx + c.
When x = 0, y = -3.
=> (-3) = a(0)² + b(0) + c, c = -3.
We now have y = ax² + bx - 3.
When x = 2, y = -4.
=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,
4a + 2b = -1.
Our 1st system of equations is 4a + 2b = -1.
When x = 4, y = -3.
=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,
16a + 4b = 0, 4a + b = 0.
Our 2nd system of equations is 4a + b = 0.
Now we solve the system of equations:
4a + 2b = -1
- (4a + b = 0)
=> b = -1
Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)
Answer:
x = 35
y = 100
Step-by-step explanation:
∠AEB and ∠DEC are vertical angles because they are opposite each other; they are also equal because of this. We can write an equation to model the situation:
∠AEB = ∠DEC
50° = x° + 15°
x = 35
∠AEB and ∠AED are supplementary because the form a line; this means they add up to 180°
∠AEB + ∠AED = 180°
50° + y + 30° = 180°
y + 80° = 180°
y = 100
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
Answer:
Step-by-step explanation:
Assuming the toppings don't have to be the same
4*10*10*10*10=4000
If the toppings have to be different:
4*10*9*8*7=20160