Answer:
-1/2
Step-by-step explanation:
the slope of the line 2x-y=5 is 2
a perpendicular line has the negative reciprocal of the slope of the other line
hopefully this helps :)
Answer:
The second one
Step-by-step explanation:
Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
Answer:
(D) 2√3
Step-by-step explanation:
From the above question ,we are asked to solve for:
6/√12 −√3
In other to simplify, we would expand the numerator of 6/√12
So we have;
= [6/(√4 ×√3)] - √3
= (6/ 2 ×√3) - √3
= (6/2 × √3) - √3
= (3 ×√3) - √3
= 3√3 - √3
= 2√3
Therefore, the value of 6/√12 −√3 is
option (D) 2√3
Answer:
Step-by-step explanation:
Given:
Center of the ellipse is, 
Minor axis length is, 
A vertex of the ellipse is at (1, -3)
Now, distance between the center and the vertex is half of the length of the major axis.
Using distance formula for (-4, -3) and (1, -3), we get:
Therefore, the value of half of major axis is, 
. Also,
Now, equation of an ellipse with center 
is given as:
Plug in 
and determine the equation.
Therefore, the equation of the ellipse is:
