Answer:
1/6
Step-by-step explanation:
1/2 (The probability that its tails) x 1/3(The probability that it lands on a green side)
Answer:
H) -6/13
Step-by-step explanation:
To find the slope of the line between a pair of two points, use the slope formula, 
. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:
So, Option H is correct.
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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28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds
Answer: B
Step-by-step explanation: 45 times (-6) =45 times 6 which equal 270
