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san4es73 [151]
3 years ago
12

You are ima room with other students and are asked to get in groups of 3. When finished, there are 21 groups of 3. How manny stu

dents are in the room?
Mathematics
2 answers:
kap26 [50]3 years ago
7 0

Answer:

63

Step-by-step explanation:

21 goups of 3 students each.

21 * 3 = 69

Answer: There are 63 students.

ivolga24 [154]3 years ago
6 0

There are 63 students in the room, this is because 21 time 3 gives you 63.

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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
What numbers multiply to equal -9 but add up to 12?
Elan Coil [88]
I don't think this is possible.

The factors of -9 are:
-1 x 9
-9 x 1
-3 x 3

And when you add them together you get:
-1 + 9 = 8
-9 + 1 = -8
-3 + 3 = 0

Sorry but there is not an answer. :(

7 0
3 years ago
assume the population of regulation basketball weights are normally distributed with a mean of 22 and a standard deviation of 1
Alex777 [14]

The probability that it will weigh less than 23.1 ounces is = 0.8643

P(x < 23.1)

= P[(x - \mu) / \sigma < (23.1 - 22) / 1]

= P(z < 1.1)

Using the z table,

= 0.8643

Probability is the branch of arithmetic concerning numerical descriptions of ways in all likelihood an occasion is to occur, or how likely it is that a proposition is authentic. The chance of an occasion is a variety of between zero and 1, where, roughly talking, 0 indicates the impossibility of the event, and 1 indicates truth.

The possibility of an event may be calculated through probability formulation by using simply dividing the favorable wide variety of consequences by the overall range of viable consequences.

Opportunity = the number of ways of achieving achievement. the whole quantity of feasible results. for instance, the possibility of flipping a coin and it being heads is ½, because there's 1 way of having a head and the total wide variety of viable results is 2 (a head or tail). We write P(heads) = ½.

Learn more about probability here brainly.com/question/25870256

#SPJ4

3 0
2 years ago
There are three small rounds of cheddar cheese in Grace’s refrigerator. She wants to bring a small wedge of cheese in her lunch
Travka [436]

Answer:

The one-fourth of one round of cheddar cheese

Step-by-step explanation:

Because if we cut every round in 4 equal pieces, 4x3=12, we will have 12 equal pieces of cheddar cheese.

6 0
3 years ago
Write the equation 2y - 4x = 5 in the form y = mx + b.
notka56 [123]
Yea the answer is Y=2x+ 5/2
4 0
3 years ago
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