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:
Scalene triangle
Step-by-step explanation:
In this question, we are asked to determine what type of triangle will be formed given the length of the pieces which was used to form the triangle.
A triangle is one of the simplest shape in geometry. In fact it is one of the basic shapes that we have in geometry. It is a 3 sided polygon that contains 3 different edges or tips and 3 vertices.
According to the values in the question, we can see that the lengths of the pieces given are different. Now what does this mean for the triangle formed?
The type of triangle formed here would be a scalene triangle. A scalene triangle is a type of triangle in which all of its 3 sides have different lengths. Consequentially, the angles formed by these three sides also are different.
Answer: w = 12
Step-by-step explanation: In this problem, we want to get <em>w</em> by itself on one side of the equation. Since we have <em>14 + W</em>, in order to get <em>w</em> by itself, we must subtract 14 from the left side of the equation.
If we subtract 14 from the left side of the equation, we must also subtract 14 from the right side of the equation. So on the left, +14 and -14 cancel each other and on the right, 26 - 14 simplifies to 12 so <em>w = 12</em>.
To check our answer, we substitute a 12 back in for <em>w </em>in the original equation and we have 14 + (12) = 26 or 26 = 26 which is a true statement so the answer checks.
Answer:
Option 1
Step-by-step explanation:
You must multiply (2x + 3) by (x + 4). I use the FOIL method.
(2x + 3)(x + 4)
Multiply
2x² + 8x +3x + 12
Simplify
2x² + 11x + 12
To check the answer, you could factor this trinomial back into a pair of binomials.