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stepladder [879]
3 years ago
8

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7.

Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

Answer: The equation of the parabola is (x+5)^2=-24(y-1)(x+5)

2

=−24(y−1) .

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How many triangles can the polygon below be divided into? A polygon with 10 sides. 6 7 8 9
Dominik [7]

Answer:

240

I think I'm not sure but try

8 0
3 years ago
After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

a_1=a

The common ratio of the sequence is

r

The explicit formula for a geometric sequence is :

a_n=a_1(r^{n-1})

To find the third term, we put n=3 to get:

a_n=a(r^{3-1})

This simplifies to:

a_3=ar^2

7 0
3 years ago
What’s the area of this figure
kvasek [131]

Answer:

743.25m^2

Step-by-step explanation:

Area of triangle = 1/2bh

= 1/2 x 30 x 26

= 390

Area of semi circle = 1/2 πr^2

= 1/ 2 x 3.14 x 15 x15

=353.25m^2

= 390 + 353.25

= 743.25m^2

8 0
3 years ago
Read 2 more answers
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and pro
NARA [144]

Answer:

percentage of professional professor are 75

Step-by-step explanation:

Given data

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

to find out

what percent of the professional professors

solution

we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40

because here

total = A + P - both

90 = 60 + 70 - both

both = 40

so professors  tenured will be here 70 - 40 = 30

so

percentage of professional professor are = 30 / 40 × 100

percentage of professional professor are 75

5 0
3 years ago
Solve the following by completing the square.
sertanlavr [38]

I think it might be D. I'm just giving an educated guess.

6 0
2 years ago
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