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Flauer [41]
3 years ago
8

How can the equation of a parabola be derived when given the focus and the directrix?

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0
The distance between any point (x0,y0) on the parabola and the focus (m,n) is the same as the distance between (x0,y0) and the directrix line ax+by+c. The distance between (x0,y0) and focus (a,b) is \sqrt((x-m)^2+(y-n)^2). The distance between (x0,y0) and ax+by+c is |ax0+by0+c|/\sqrt(m^2+n^2).  Equalize these two expressions.
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a city that has an elevation of 15 meters is closer to sea level than a city with an elevation of -10 true or false? explain you
12345 [234]

Answer:

False

Step-by-step explanation:

At sea level, elevation is 0. This means that we can portray sea level as being the midpoint of distances below sea level and distances above sea level.

Thus, a distance of 1 m below sea level = - 1 is equivalent to a distance of 1 m above sea level albeit in opposite directions.

Hence, an elevation of 15m above sea level is greater in distance Than an elevation of - 10 m below sea level because the absolute value of 15 is greater than the absolute value of 10.

|15 - 0|= 15

|-10 - 0| = 10

Hence, elevation of - 10 below Sea level is closer to sea level than elevation of 15 above sea level

5 0
2 years ago
Tan x + pi / 6 what is this equal to?
Scilla [17]
If tan (x)+pi/6=0

thn

tan (x)=-pi/6

take atan of both sides

x=atan (-pi/6)
x= -0.4823 rad
= -27.636 deg
5 0
3 years ago
Two sisters share a lottery win of $1,400,000. If
Sedaia [141]

Answer:  

$600,000:$800,000

Step-by-step explanation:

3 0
2 years ago
What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?
xxMikexx [17]
a_1=-5;\ r=3;\ a_n=-405\\\\a_n=a_1r^{n-1}\\\\subtitute\\\\-5\cdot3^{n-1}=-405\ \ \ |divide\ both\ sides\ by\ (-5)\\\\3^{n-1}=81\\\\3^{n-1}=3^4\iff n-1=4\to n=5\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_5=\dfrac{-5(1-3^5)}{1-3}=\dfrac{-5(1-243)}{-2}=\dfrac{5\cdot(-242)}{2}=5\cdot(-121)=-605\\\\\\Answer:\boxed{S_5=-605}
4 0
3 years ago
What is th difference in length between a 1 1/4 inch button and a 3/8 inch button
artcher [175]
Okay so 11/4 needs to be multiplied by 2 so that the D match up.

so 11/4 x 2 =  22/8

22/8  -  3/8  = 19/8

The difference is 19/8
8 0
3 years ago
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