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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Answer:
Step-by-step explanation:
Angle ADC and angle CDJ are complementary. That means that they add up to equal 90 degrees. Therefore,
4x + 3x - 8 = 90 and
7x = 98 so
x = 14
Sub in a 14 for x in 3x - 8:
3(14) - 8 = 34
Angle CDJ = 34 degrees
Answer:
where in the heck is the x tho
where is x in the equation I am hella confused and I don't understand how to help
Answer:
1/2 is equivalent to 50%
Step-by-step explanation:
In order to convert a fraction to a percentage you divide the numerator (Top number of a fraction) by the denominator (Bottom number of a fraction), multiply by 100, and add a percentage sign.
So lets try that with our first answer option A) 1/2:
1 divided by 2 = 0.5
0.5 x 100 = 50
50%
So we know that 1/2 is equivalent to 50%
Answer:
b option
Step-by-step explanation:
Refer to the attachment.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
