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Vlad1618 [11]
3 years ago
8

WILL GOVE BRAINLIEST IF YOU ANSWER CORRECTLY!!!!!!!!

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0
0.279754601
is the correct answer 
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Parabolas. Please help me
olganol [36]
  1. x² = 16 y
  2. x = 0
  3. (x + 4)² = 2/3 (y - 2)
  4. Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>
  5. (y - 6)² = 4p (x - 3)

Step-by-step explanation:

1. First figure

We plot the parabola as given in the attached diagram.

As it is facing upwards, the equation goes as x² = 4py

where, p = 4 (refer the attached diagram)

x² = 4py

x² = 4 (4) y

∴, standard form of parabola is x² = 16 y

2. Second figure

(y + 3)² = 4 (x - 1)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

h = 1

p = 1

Directrix is x = (h - p)

So, x = 0

3. Third figure

3x² + 24x - 2y + 52 = 0

3x² + 24x = 2y - 52

3 (x² + 8x) = 2 (y - 26)

(x² + 8x) = 2 (y - 26) / 3

Adding 16 on both sides,

x² + 8x + 16 = 2 (y - 26) / 3 + 16

(x + 4)² = 2/3 y - 52/3 + 16

(x + 4)² = 2/3 y - 4/3

(x + 4)² = 2/3 (y - 2)

4. Fourth figure

(y + 1)² = 12 (x - 3)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

k = -1

h = 3

p = 3

Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>

5. Fifth figure

Focus = (2, 6)

Directrix is x = 4

Therefore, it follows the standard form

(y - k)² = 4p (x - h)

Directrix is given by x = h-p = 4

Focus is given by (h + p, k) = (2, 6)

Solving for (h - p) = 4, (h + p) = 2

2 - p - p = 4

-2p = 2

p = -1

Hence, h = 3

Therefore, the standard form can be written as

(y - 6)² = 4p (x - 3)

7 0
3 years ago
An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no
Molodets [167]

Answer:

2s + 30 = 2s

Step-by-step explanation:

Time up hill + time down hill = total time

:

Multiply equation by 30s; results

2s + 30 = 2s

:

3 0
2 years ago
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for
Roman55 [17]

Answer:

200 + 12n = 644  Answer: 37

Step-by-step explanation:

200 + 12n = 644

12n = 444

n = 37

Floyd sold 37 albums last month

7 0
3 years ago
The digits of a certain three-digit number are consecutive odd numbers. If the sum of the digits is 15, find the number.
scoray [572]
The answer is 5 because it is consecutive 3 times and it is an odd number
3 0
3 years ago
Read 2 more answers
What is the answer to 16.3-2.666
djverab [1.8K]
The answer: <span>13.634

Don't believe me? Check with a(n) calculator!</span>
4 0
3 years ago
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