Answer: 
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, you can calculate the value of <em>x</em> as you can see below:
In this case, you have that:
<em> adjacent=x</em>
<em> hypotenuse=11</em>
Therefore, when you substitute values and solve for <em>x</em>, you obtain the following result:
Answer:
Below in BOLD.
Step-by-step explanation:
5x^2 - 6x - 2 = 0
Quadratic formula for ax^2 + bx + c = 0 is
x = [-b ± √(b^2 - 4ac)]/ 2a
Here we have a = 5, b = -6 and c = -2
so x = [-(-6) ± √((-6)^2 - 4*5*-2)]/ 2*5
= [ 6 ± √(36 + 40)] / 10
= 0.6 ± √76 / 10
= 0.6 ± 0.8718
= 1.4718, -0.2718
= 1.5, -0.3 to one decimal place.
x^2 + 3x = 40
x^2 + 3x - 40 = 0
We can factor this one:
(x - 5)(x + 8) = 0
x - 5 = 0 giving x = 5 and
x + 8 = 0 giving x = -8.
Answer x = -8, 5.
Answer: y
=
−
2
(
x
+
4
)
2
+
6
Step-by-step explanation:
Find the parabola through (
−
2
,
−
2
) with vertex (
−
4
,
6
) using the vertex form y
=
a
(
x
−
h
)
2
+
k
.
Standard Form: y
=
−
2
x
2
−
16
x
−
26
Vertex Form: y
=
−
2
(
x
+
4
)
2
+
6
Un objeto cae accidentalmente de un vehículo con una velocidad de
50 km / hy recorra 20 m antes de detenerse.
Calcular:
a) La aceleración:
b) El tiempo que tarda en detenerse:
Responder:
1.439 s
-9,645 m / s²
Explicación paso a paso:
Dado que:
Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s
Distancia (d) = 20
Tiempo = distancia / velocidad
Tiempo = 20 / 13.889
Tiempo = 1.439 s
Aceleración (a):
Cambio de velocidad / tiempo empleado
= (0 - 13,889) / 1,439
- 13.889 / 1.439
= -9,645 m / s²
