I would choose D and C
Hope this Helps!!!!
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Answer:
x =2
Option D is correct !!!
Step-by-step explanation:
By Pythagoras theorem we can solve this
we know that:
An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.
Hope this made sense.
Answer:
The net outward flux across the boundary of the tetrahedron is: -4
Step-by-step explanation:
Given vector field F = ( -2x, y, - 2 z )
= -2 + 1 -2
= -3
According to divergence theorem;
Flux = 
x+y+z = 2; 
Octant
x from 0 to 2
y from 0 to 2 -x
z from 0 to 2-x-y
![= -3 \int\limits^2_0[(2-x)y - \dfrac{y^2}{2}]^{2-x}__0 \ \ dx](https://tex.z-dn.net/?f=%3D%20-3%20%5Cint%5Climits%5E2_0%5B%282-x%29y%20-%20%5Cdfrac%7By%5E2%7D%7B2%7D%5D%5E%7B2-x%7D__0%20%5C%20%5C%20dx)
= -4
Thus; The net outward flux across the boundary of the tetrahedron is: -4
