Answer:
-12p ^4
Step-by-step explanation:
4p^3 * -3p
-3 * 4 = -12
p^3 *p
use the math rule :
a^n * a^m = a^(n+m)
therefore
p^3 * p^1 = p ^(3+1)
= p^4
= <u>-12p ^4</u>
5 miles....... 8km
40 miles..... x km
x:8= 40:5•8= 64
hi
monthly interest rate is : ![\sqrt[12]{1.05}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B1.05%7D)
So in forty month there will be : 10 000 * ( )^40 ≈11 776,06
1. You would divide the 33/3 first to get 11
2. Then you would add 1 to that answer to get 12
3. Then you would subtract 2^2 from that to get 8
Your answer would be 8.
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
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