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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Answer:
He will make $165 every year.
3000 + 165(4) = 3660 (this is his total amount)
He will need 4000 - 3660 = $340
<u><em>He will need an Additional $340.</em></u>
Answer:
x = 40°
Step-by-step explanation:
Two sides are the same length, so the angles opposite them are the same size.
The sum of the angles = 180°. One angle is 100°, so the sum of the remaining two angles is 80°.
Since the remaining two angles are congruent, each is 40°.
E = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
Nata [24]
Answer:
A=11,13,17,19 B=12,18 None=10,14,16,19 Both=15
Step-by-step explanation:
11,13,15,17,19 are all odd so they go in A
12,15,18 Are all multiples of 3 so they go in B
10,14,16,19 Are not classified so they go outside of the diagram but inside E
15 is odd and a multiple of 3 so put it in the center and not with A and B