6×6=6×15＋15=6×3+6×3=18＋18=36
Answer:
Step-by-step explanation:
The relationship between the focus, directrix, and semi-major axis is ...
foci are ±ae
directrices are ±a/e
where "a" is the length of the semi-major axis and e is the eccentricity.
Using the given focus and directrix locations, we have ...
ae = 2
a/e = 4
When we multiply these equations, we have ...
(ae)(a/e) = (2)(4)
a^2 = 8
This is the denominator of the x^2 term in the equation for an ellipse:
x^2/a^2 + y^2/b^2 = 1
_____
We can find b^2 from ...
ae = √(a^2 -b^2)
b^2 = (a^2 -(ae)^2) = 8 -2^2 = 4
So, our ellipse equation is ...
x^2/8 +y^2/4 = 1 . . . . . . matches the first choice
Answer:
The vertex of the function is (5,6).
Step-by-step explanation:
The equation is already written in vertex form. Given a quadratic function with a vertex of (h,k), the equation for the graph is y=a(x-h)^2+k.
We can extract h and k from the provided equation and get the point (5,6)
Answer:
Exact Form: x= - 7/3
Hope this helped! If you ever need anymore help feel free to ask. :)
Y= 80.55% approximately, 80.6% rounded up
Calculations:
The percent (percentage) of a given number p/q can be found, for the most part, without a calculator by a slight change in the notation:
y=the number 29/36 expressed as a percent becomes
y=[29(2.7777777778 approx.)]/[36(2.7777777778 approx.)]
y=0.8055 approx. (Express the decimal numeral as a percent)
y=0.8055(100)
y=
80.55% approx., which is 80.6% rounded up to the nearest tenth percent
