The points which represents the vertices of the given equation are; (15, −2) and (−1, −2).
<h3>Which points among the answer choices represents the vertices of the ellipse whose equation is given?</h3>
The complete question gives the equation of the ellipse as; (x-7)²/64+(y+2)²/9=1.
Since, It follows from convention that general equation of ellipse with centre as (h, k) takes the form;
(x-h)²/a² +(y-k)²/b² = 1.
Consequently, it follows from observation that the value of a and b in the given equation in the task content is; √64 = 8 and √9 = 3 respectively.
Since, 8 > 3, The vertices of the ellipse are given by; (h±a, k).
The vertices in this scenario are therefore;
(7+8, -2) and (7-8, -2).
= (15, -2) and (-1, -2).
Read more on vertices of an ellipse;
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Given:
Radius = 14 ft
θ = 45°
To find:
Area of the shaded sector
Solution:
Area of the sector formula:
ft²
The area of the shaded sector of a circle is 24.5π ft².
Answer:
x=104°
Step-by-step explanation:
180=(x+4) +72
180-72=x+4
108=x+4
108-4=x
104=x
x=104°
Hope this helps! :)
