Answer:
Step-by-step explanation:
First you need to use the distributive property:
3-2x+2x+3(6-3x)-7(1-2y)=25+6y
3-2x=2x+18-9x-7+14y=25+6y
3-2x=-7x+11+14y=25+6y
Then Split up the equations.
3-2x=-7x+11
Subtract 3 from both sides
-2x=-7x+8
Then add -7x to both sides
5x=8
Then divide both sides by 5x
X=
To solve for y: just use 14y=25+6y
Subtract both sides by 6y
8y=25
Then divide both sides by 8y
y=
I think it’s D) 9 because when you find the mean of a set of values you are taking into account and adding all of the numbers, and then dividing them by how many numbers there is, so the mean would be summarizing all of them, hope this helps
Philip and Barbara are 8 meters apart because 5+3=8 so it will make 8 meters
4i = b
6(i-6) = b-6
6(i-6) = 4i - 6
6i - 36 = 4i - 6
2i - 36 = -6
2i = 30
i = 15 years old
b = 60 years old
Check:
15 * 4 = 60
9 * 6 = 54 :)
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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