Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
X = -2
3 x -2 = -6
-6 -2= -8
|-8| = 8
-2 + 1= -1
|-1|=1
Answer:
20= v+9+( -16 )
20= v-( 7 )
27= v
Step-by-step explanation:
Adding a negative is the sane as subtracting. Add like terms. Add 7 to both sides. 27= v
Answer: 5.88 feet tall
Step-by-step explanation:
Using this formula
Interest =principal×rate×time/100
Principal is the actual growth=3ft
Rate is the 32%
Time is 3yrs
Interest =3×32×3/100
Interest =2.88
To get the value for 3yrs,add the interest to the principal value
Exact value in 3yrs=
3+2.88
=5.88 feet tall
Answer:
Index of refraction of transparent is 1.48
Step-by-step explanation:
Snell's law states that;
n1(sinθ1) = n2(sinθ2)
Where;
n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.
In this question;
n1 = 1;
θ1 = 43.8°
θ2 = 19.3°
n2 is unknown.
Thus using Snell's law, we have;
1 x sin 43.8 = n2 x sin 19.3
n2 = (sin 43.8)/sin 19.3
n2 = 1.48
