Answer:

Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where
is called the semi-major axis.
In this case since the major axis is equal to 10 units:

solving for the semi-major axis
:

and also the minor axis of an ellipse is represented as:
Minor axis = 
where
is called the semi-minor axis.
Since the minor axis has a length of 8 units:

solving for b:

Now we can use the equation for an ellipse centered at the origin (0,0):

and substituting the values for
and
:

and finall we simplify the expression to get the equation of the ellipse:

Answer:
Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary's gross pay.
a.
$6.49
Step-by-step explanation:
IN Δ MLN:
∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1
IN Δ FGH:
∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3
∴ ONLY ∠N = ∠F = 98.6
There is no other <span>congruent </span>angles
So, The correct statement is :
Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.
Answer:
-5
Step-by-step explanation:
f(-2) means that -2 is going to be our input in this function.
To solve this, simply substitute -2 for x in the expression given.
If f(x) = 3x+1, then f(-2) = 3(-2) + 1
3(-2)+1 = -6+1 = -5
Hope this helped!
Answer:
Idk
Step-by-step explanation: