Answer: (b) The focus of an ellipse is always located precisely at the center of the ellipse.
Step-by-step explanation:
An ellipse is defined as <em>"a closed curve with two axes of symmetry (major axis and minor axis) that results in cutting the surface of a cone by an oblique plane to the axis of symmetry with an angle greater than that of the generatrix with respect to the axis of revolution"</em>. That is why the ellipse is considered a conic figure.
To understand it better: an ellipse has two points on its major axis that are equidistant from the center , which are called foci, being this distance constant. In addition, the eccentricity allows to know how far the foci are from the center of the ellipse.
Therefore, the statement that indicates an ellipse has only one focus located precisely at the center is incorrect.
Answer:
Option D.
Step-by-step explanation:
The vertex form of an absolute function is
where, a is a constant, (h,k) is vertex.
It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.
...(1)
It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.
Put a=-1 in (1).
Now, put y=0, to find the equation for this absolute value function when y=0.
Therefore, the correct option is D.
Answer:
<u>The correct answer is C. 5,000</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of fresh meat Joseph eat per week = 11 pounds
2. How many grams of meat does Joseph eat per week?
Let's answer the question this way:
Conversion of pounds to kilograms
Number of kilograms = 11/2.2
Number of kilograms = 5
Conversion of kilograms to grams
Number of grams = 5 * 1,000
Number of grams = 5,000
<u>The correct answer is C. 5,000</u>
If x=-6, then y=-3
Further explanation:
Direct proportion means that if a quanitity increases the other quantity also increases and vice versa
The direct proportion is written as:
If y and x vary directly then
y∝x
y=kx
where k is the proportionality constant
If k=1/2 then the expression will be:
If x=-6, then y=-3
Keywords: Proportion, Constant
Learn more about proportion at:
#LearnwithBrainly
<span>Graphing calculators are more accurate and are faster when finding the solution(s). <span>When solving a system of equations with a graphing calculator, you can have the calculator graph equations of any degree and shape. The graphing calculator also has functions to find where the graphs intersect between two points and are accurate sometimes to ten decimal places. When compared to graphing by hand you can get inaccurate results and results that are not as precise.</span></span>
