i. Let t be the line tangent at point J. We know that a tangent line at a point on a circle, is perpendicular to the diameter comprising that certain point.
So t is perpendicular to JL
let l be the tangent line through L. Then l is perpendicular to JL
ii. So t and l are 2 different lines, both perpendicular to line JL.
2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.
Remark. Draw a picture to check the steps
Answer:
<u><em>9 months</em></u>
Step-by-step explanation:
Principal= P= $1200
Rate=R= 15%
Interest= I= $135
Time= T= ?
I=P*R*T/100
135= 1200*15*T/100
135*100=18000*T
13500/18000=T
T= 0.75 years
T= 0.75*12= 9 months
Just find 6.2% of 457.88
6.2%=6.2/100=0.062
0.062 tiemes 457.88=28.388 rouned 28.39
C
Answer:
Note that
0.16666...is equivalent to 1/6
Step-by-step explanation:
We can use the sum of fractions to write out the decimal:
For this particular question, we can see that
0.16666...is the fraction 1/6, therefore
the given decimal
2.16666...=2+1/6=13/6
The Lagrangian,

has critical points where its partial derivatives vanish:





tells us
, so that


Then with
, we get

and
tells us

Then there are two critical points,
. The critical point with the negative
-coordinates gives the maximum value,
.