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:
6²
Step-by-step explanation:
Use the rule of exponents ...
(a·b)^c = a^c·b^c
Your expression has a=3, b=2, c=2.
3²·2² = (3·2)² = 6²
_____
If you want to get more sophisticated than that, logarithms can get involved.
Answer:
3 buses are needed.
Step-by-step explanation:
96/32=3
3 buses
➴Hope this helps! :)
➳CloutAnswers
Answer:
2,070,281
Step-by-step explanation:
let x = number of years
let y = population
Given:
- initial population = 500000
- rate of increase = 7%
y = 500000 × 1.07^x
when x = 21:
y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281
