Answer:
The answer is d = √[(p - m)² + (q - n)²] ⇒ first answer
Step-by-step explanation:
* The distance between any to points (x1 , y1) , (x2 , y2) is
- d = √[square the difference of x- coordinates plus
square the difference of y-coordinates]
∴ d = √[(x2 - x1)² + (y2 - y1)²] or
∴ d² = (x2 - x1)² + (y2 - y1)²
* x2 - x1 is the horizontal distance (h) and y2 - y1
is the vertical distance (v)
- By using Pythagoras theorem
∴ d = √[h² + v²]
∵ The two points are (p , q) and (m , n)
- Put x1 = m and y1 = n
- Put x2 = p and y2 = q
∴ d² = (p - m)² + (q - n)²
∴ d = √[(p - m)² + (q - n)²]
∴ The answer is d = √[(p - m)² + (q - n)²] ⇒ first answer
Hey there!
When multiplying variables with the same degree, be sure to add the two degrees being multiplied.
For example;
x * x; both of these terms have the degree of "1" as they are "x^1". Since we are multiplying them, we need to add their degrees.
x^1 * x^1 = x^2
Now that we've broken down what we are doing, let's apply this new knowledge to your problem.
(x^3)(x^-2); Remember to just add the degrees; -2 + 3 = 1
This means our product is x^1, or just x.
I hope this helps!
Answer:
(examples) n = 2
n = 3
n = 4
Step-by-step explanation:
to demonstrate, all you do is select a number to represent 'n' and plug it in.
so for example, n = 2:
2(2) + 3(2) = 5(2)
4 + 6 = 10, which is true.
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
#SPJ1
Answer:
no I have no idea I justwant points
