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stiks02 [169]
3 years ago
9

Find the equation of a parabola with focus F(-3, 9) and directrix x = -13.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer:

y² = 38x + 79

Step-by-step explanation:

Since directrix is the line x = -13, then it means x + 13 = 0

Focus is F(-3, 9).

Let A(x, y) be any point inside the plane having the focus and directrix.

Let MA be the perpendicular distance from A to the directrix and it means that A lies on parabola provided FA = MA.

Thus;

√[(x - (-3))² + (y - 9)²] = (x + 13)

Squaring both sides gives;

(x + 3)² + (y - 9)² = (x + 13)²

>> (x² + 6x + 9) + (y² - 18x + 81) = x² + 26x + 169

>> 6x + 9 + y² - 18x + 81 = 26x + 169

>> y² = 26x + 12x + 169 - 90

>> y² = 38x + 79

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3 years ago
A messenger earns 2640 per year and pays tax at the rate of 10k On a naira how much tax does he pay in the year
Marta_Voda [28]

Answer:

264 naira

Step-by-step explanation:

Given that:

Amount earned per year = 2460

Rate of interest paid : 10k per naira earned

Tax paid by messenger per year :

100k = 1 naira

10k = (100/10) = 0.1 naira

Hence 0.1 naira is paid as tax on every naira earned

Total amount paid on 2640 Naira :

Amount paid per naira * total amount earned

(0.1 * 2640) = 264 naira

5 0
3 years ago
Which step is included in the constitution of inscribed polygons?
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3 0
3 years ago
Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
crimeas [40]

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

8 0
2 years ago
Elapsed time 2 hr 37 min, end time: 1:15. start time?
3241004551 [841]

Answer:

10:38

Step-by-step explanation:

2 hours back from 1:15

11:15

37 minutes back from 11:15

10:38

The start time is 10:38.

6 0
3 years ago
Read 2 more answers
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