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mr_godi [17]
3 years ago
11

Can somebody help me please:(!

Mathematics
2 answers:
dlinn [17]3 years ago
7 0
The greatest number is 28 people
UkoKoshka [18]3 years ago
7 0

Step-by-step explanation:

the greatest number of people that can sit on Seven tables is 28 it's seven tables times before people I just couldn't find you to tell you quick enough all you had to do is multiply 7 of those tables by four people sorry I didn't get to you quick enough someone else did

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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
In 2002, Takaru Kobyashi ate fifty hot dogs in twelve minutes. At that rate, and assuming that he wouldn’t explode, how many dog
kupik [55]
So he ate 50 in 12 minutes. 
There are 60 minutes in an hour. You want to divide 12 into 60 minutes.
Multiply your answer on 5 times the number of Hog-Dogs.
= 250 Hot-Dogs 
5 0
3 years ago
Which number is the best approximation for
olga_2 [115]
It should be C, I got 7.1.
6 0
3 years ago
An ice cream shop offers 5 different types of ice cream, 6 different toppings and the option of having a small, medium or large.
prohojiy [21]

Answer:

90 possible outcomes.

Step-by-step explanation:

In order to find the total number of combinations possible you simply need to multiply the total number of each options with one another. For example, the number of options in each category are the following

types: 5

toppings: 6

size: 3  (small, medium, large)

Now we simply need to multiply all three of these numbers together to find the total number of possible outcomes.

5 * 6 * 3 = 90 possible outcomes.

5 0
3 years ago
Which quantity can be described as changing at a constant rate?
SSSSS [86.1K]

Answer:

321

Step-by-step explanation:

#/68&$#57:'#46&"¥<>`《\_£=%~《|

3 0
2 years ago
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