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devlian [24]
3 years ago
9

Free points!!!I'm bored so enjoy.​

Mathematics
2 answers:
melamori03 [73]3 years ago
5 0

Answer:

Thank you so much man!! If you need help in the future just comment on this answer and I will gladly answer!  

IgorLugansk [536]3 years ago
3 0
Jane from breaking bad

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A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
goldenfox [79]

Answer:

A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m

Step-by-step explanation:

Given :

Velocity of bullet = 3510 km/hr

Distance traveled = 100m

Converting distance in meter to kilometer :

(100 / 1000) km = 0.1 km

Recall :

Speed = Distance /time

Time taken = Distance / speed

Therefore,

Time taken = Distance / speed

Time taken = 0.1 km / 3510 km/hr

Time = 2.849 * 10^-5 hour

3 0
2 years ago
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
Given the graph y = f(x), explain and contrast the effect of the constant c on the graphs y = f(cx) and y = cf(x).
Igoryamba
Given the graph y = f(x)

The graph y = f(cx), where c is a constant is refered to as horizontal stretch/compression

A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression is the squeezing of the graph towards the y-axis.  A compression is a stretch by a factor less than 1.

If | c | < 1 (a fraction between 0 and 1), then the graph is stretched horizontally by a factor of c units.
If | c | > 1, then the graph is compressed horizontally by a factor of c units.

For values of c that are negative, then the horizontal compression or horizontal stretching of the graph is followed by a reflection across the y-axis.


The graph y = cf(x), where c is a constant is referred to as a vertical stretching/compression.

A vertical streching is the stretching of the graph away from the x-axis. A vertical compression is the squeezing of the graph towards the x-axis. A compression is a stretch by a factor less than 1.

If | c | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of c units.
If | c | > 1, then the graph is stretched vertically by a factor of c units.

For values of c that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.
3 0
2 years ago
Juan compró un terreno rectangular cuyo perímetro es de 88 m. Se sabe que la medida de lo largo del terreno es 2veces la medida
Nuetrik [128]

Answer:

420 m^2

Step-by-step explanation:

Ancho: x

Largo: 2x + 2

2x + 2(2x+2) = 88

2x + 4x + 4 = 88

6x = 88 - 4

x = 84/6

x = 14

Ancho: 14

Largo : 30

Area: 14 * 30 = 420 metros cuadrados

5 0
2 years ago
PLEASE HELP SHOW YOUR WORKING OUT Branliest
Ad libitum [116K]

Answer:

The equation of this line is therefore    y = 2x + 3.

Step-by-step explanation:

this line passes thru the points (0, 3) and (3, 9).  As we move from  (0, 3) to (3, 9), x increases by 3 and y increases by 6.  Thus, the slope of this line is

m = rise / run = 6/3, or m = 2.  Inserting the known info (m = 2, x = 0, y = 3) into y = mx + b, we get:  3 = 2(0) + b, so we see that b = 3.

The equation of this line is therefore    y = 2x + 3.

5 0
2 years ago
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