9514 1404 393
Answer:
(a) x^2/16 +y^2/9 = 1
Step-by-step explanation:
The form for the equation of an ellipse centered at the origin is ...
(x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1
The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...
(x/4)^2 +(y/3)^2 = 1
x^2/16 +y^2/9 = 1
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In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.
f(x) = 2
-4x
Step-by-step explanation:
Step 1 :
Given, f(x) = a(x - h)2 + k
Point on the parabola is (3, 6)
Vertex (h,k) = (1,-2)
Step 2:
Substituting the vertex in the equation we have,
f(x) = a(x-1)2 -2
Substituting the point (3,6) in this we have,
6 = a(3-1)2 - 2 => 6 = 4a -2
=> 4a = 8 => a = 2
Step 3 :
Substituting the value for a and the vertex in the given equation we have
f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x
=> f(x) = 2
-4x which is the standard form
[ (52.65 * 5) + 46.25 - 16.25] * 1/6
[ 263.25 + 46.25 - 16.25] * 1/6
293.25 * 1/6 =
293.25/6 =
48.875
error occurred in step 3....he multiplied by 6 instead of multiplying by 1/6
Answer:
A
Step-by-step explanation:
Assuming the triangle is right, use Pythagoras' identity to find N
The square on the hypotenuse is equat to the sum of the squares on the other 2 sides.
Here the hypotenuse = 73, thus
N² + 48² = 73², that is
N² + 2304 = 5329 ( subtract 2304 from both sides )
N² = 3025 ( take the square root of both sides )
N =
= 55 → A
Answer:
a=24
Step-by-step explanation: