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Tatiana [17]
2 years ago
6

What is the equation of the quadratic graph with a focus of (3, 4) and a directrix of y = 8? (1 point)

Mathematics
2 answers:
Marta_Voda [28]2 years ago
8 0
This question was already answered this is what the other person got.

ASHA 777 [7]2 years ago
4 0

Answer:

equation become (x -3)² =  -8(y - 6).

Step-by-step explanation:

Given  :  focus of (3, 4) and a directrix of y = 8.

To find : What is the equation of the quadratic graph.

Solution : We have given

Focus = (3, 4).

directrix  y = 8.

The standard form is (x - h)² = 4p (y - k),

where the focus is (h, k + p) and the directrix is y = k - p.

On comparing

(h, k + p) =  (3, 4).

h = 3 ,

From focus

k + p = 4 ------(1)

From directrix

y = k -p

k -p = 8 -------(2)

Adding both the equation 1 and 2

k + p = 4 ------(1)

k -p = 8 -------(2).

____________

2k = 12 .

On dividing by 2

k = 6.

Plug k =6 in equation 1

k + p = 4

6 + p = 4

P = -2 .

Plug all the values in standard equation :

(x - h)² = 4p (y - k),

(x - 3)² = 4(-2) (y - 6).

(x -3)² =  -8(y - 6).

Therefore, equation become (x -3)² =  -8(y - 6).

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A jacket cost $35.50 more than a pair of tennis shoes if the total cost of both items is $161.30 find the cost of each
Mice21 [21]

Answer:

$62.9 and $98.4

Step-by-step explanation:

Let the cost of tennis shoe be x

Since a jacket cost $35.50 more than a pair of tennis shoe,

Then cost of jacket would be

= $35.50 + x

Total cost of both items would be;

x + $35.50 + x = $161.30

2x = $161.30 - $35.50

2x = $125.8

x = $62.9

Therefore, cost of pair of tennis shoe is $62.9

Jacket cost would now be

= $35.5 + x

= $35.5 + $62.9

= $98.4

6 0
3 years ago
Charlie ran 5 miles in 51.5 minutes. Use the equation 5r=51.5 to find r, the average rate he ran.
jenyasd209 [6]
5r = 51.5
r = 51.5 / 5
r = 10.3
6 0
3 years ago
Read 2 more answers
Seven weightlifters are competing in the dead-lift competition. In how many ways can the weightlifters finish first, second, and
Airida [17]
I think the answer is 21 you just multiply the number of weightlifters by the number of places so 7 x 3.
7 0
3 years ago
Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8
pashok25 [27]

Answer:

39

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

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2 years ago
Use the multiplier method to increase £258 by 43%<br>You must show your working.​
raketka [301]

Hello there, to answer your question...

258, percentage increased by 43% (percent) of its value

<h2> = 368.94</h2>

<em>258 + 43% = 368.94</em>

<em></em>

I hope this information helps.

8 0
3 years ago
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