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Oliga [24]
3 years ago
12

What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form: 
x² + 8 x - y + 18 = 0 
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Slav-nsk [51]
It rounds to 14.3 which is 14 lol
5 0
3 years ago
Find the slope of the line through the given points.<br> (-2,7) and (2,-5)
Andreyy89

Answer:

y = -3x + 1

Step-by-step explanation:

hope this is right!

4 0
3 years ago
Find the domain of fg
vazorg [7]
We have the following functions:
 f (x) = x ^ 2 + 1
 g (x) = 1 / x
 Multiplying we have:
 (f * g) (x) = (x ^ 2 + 1) * (1 / x)
 Rewriting:
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 We have then:
 All reals except number 0
 Answer:
 
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7 0
3 years ago
Read 2 more answers
Marco is playing a game with a standard deck of cards. The first person to select a heart from the deck without looking wins. Wh
mestny [16]

Answer:

What is the theoretical probability that Marco will choose a card with a heart on it?  It will be 1/4

What is the theoretical probability that Marco will choose a card without a heart on it?  the answer to this is 3/4

Step-by-step explanation:

7 0
3 years ago
A) A club is considering changing its bylaws. In an initial straw vote on the issue, 24 of the 40 members of the club favored th
lora16 [44]

Answer:

38,38,380

Step-by-step explanation:

GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, 24 of the 40 members of the club favored the change and 16 did not. A committee of six is to be chosen from the 40 club members to devote further study to the issue.

TO FIND: How many committees of six can be formed from the club membership.

SOLUTION:

Total number of members =40

Total members to be chosen =6

To select committee of 6 members from 40 =^{40}C_6

                                                                       =\frac{40!}{34!6!}

                                                                      =38,38,380

Hence 38,38,380 different committee can be formed.

7 0
3 years ago
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