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:
The 2 numbers are 32 and 65.
Step-by-step explanation:
x + y = 97 where x and y are the 2 numbers.
x = 2y + 1
Substituting for x in the first equation:
2y + 1 + y = 97
3y = 96
y = 32.
So x = 2y + 1 = 64 + 1 = 65.
"more" means added to, or addition. So 8 more than 'x' is:
x + 8
Answer: Danny can make 15 sundaes from 11 1/4 cups of chocolate
Step-by-step explanation:
number of cups of chocolate syrup= 11 1/4 cups
For ever sundae, he decides to make, it will require 3/4 cup of chocolate
Number of sundae , Danny can make = number of cups of chocolate syrup /3/4 cup of sundae
= 11 1/4 / 3/4
45/4 x 4/3= 15 sundaes
Therefore, Danny can make 15 sundaes from 11 1/4 cups of chocolate
(-4,-3) hola! My friend and thanks for asking mama Sita.