The focal length of the given ellipse is given as (±6, 0)
<h3>Equation of an ellipse</h3>
An ellipse is defined as a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant or when a cone is cut by an oblique plane which does not intersect the base.
The standard equation of an ellipse is expressed as;
x^2/a^2 + y^2/b^2 = 1
The formula for calculating the focus of the ellipse is given as:
c^2 = b^2 - a^2
Given the equation of an ellipse
(x-7)^2/64 + (y-5)^2/100 = 1
This can also be expressed as:
(x-7)^2/8^2 + (y-5)^2/10^2 = 1
Comparing with the general equation
a = 8 and b = 10
Substitute
c^2 = 10^2 - 8^2
c^2 = 100 - 64
c^2 = 36
c = 6
Hence the focal length of the given ellipse is given as (±6, 0)
Learn more on focus of ellipse here; brainly.com/question/4429071
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Answer:
The measure of the larger is 
.
Step-by-step explanation:
Given:
The measure of an angle is 
degrees less than three times the measure of another angle.
The two angles are supplementary.
To find: The measure of the larger angle.
Solution:
Let the measure of the smaller angle be 
.
Then the measure of the larger angle be 
.
The two angles are supplementary, so their sum is 
.
So, 
So, the measure of the smaller angle is 
.
And, the measure of the larger angle is 
.
Hence, the measure of the larger is .
1) B, 2) E, 3)C, 4)A, 5)D
Answer:
Using various of methods. It depends of your solving it on a graph, table, etc.
Step-by-step explanation:
You can put it in slope-intercept form (My fav), standard form, point-slope form, you can find the rate change (Y is over X), etc.
2y = x + y (Vertically opposite ∠s)
2y - y = x
y = x
∴3x = 180°
x = y = 60°
X + y = 60° + 60° = 120°
