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3 years ago

Find the slope of the line that contains the points (-6, 4) and (2, -8)

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

8 0

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{-8-4}{2+6}=\frac{-12}{8}=\boxed{-\frac{3}{2}}$

Hope this helps.

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A rocket is launched from a tower what time will the rocket reach its max

Lena [83]

Answer:

Step-by-step explanation:

A science class designed a ball launcher and tested it by shooting a tennis ball up and off the top of a 15-story building. They determined that the motion of the ball could be described by the function: h(t) = -16t2 + 144t + 160, where ‘t’ represents the time the ball is in the air in seconds and h(t) represents the height, in feet, of the ball above the ground at time t.

a) Graph the function h(t) = -16t2 + 144t + 160 (see below)

b) What is the height of the building?

The height of the building is also the height of the tennis ball before it is launched into the air. This occurs when t=0 so substitute 0 for t and you get:

H(0) = -16(0)2 + 144(0) + 160

The height of the building is 160 feet.

c) At what time did the ball hit the ground?

The ball hits the ground when the height is 0. Therefore, we are looking for a solution to: -16t2 + 144t + 160 = 0

Use the quadratic formula or put this into a calculator. The solution is t=10 and -1, but only 10 makes sense. Therefore, the ball hits the ground at 10 seconds.

d) At what time did the ball reach its maximum height?

You can put this into the calculator or you can realize that the maximum height is also

− the vertex. The x-value (‘t’ in this case) is 2

−144

which is (2)(−16) = 4.5.

Therefore, the ball reached its maximum height at 4.5 seconds.

e) What is the maximum height of the ball?

We calculated the time of the maximum height (4.5 seconds). Therefore, substitute 4.5 into the function to find the maximum height.

-16(4.5)2 + 144(4.5) + 160

The maximum height is 484 feet.

5 0

3 years ago

The sum of 2 times p and 2 is 48. What is p?

yaroslaw [1]

Answer:

p = 23

Step-by-step explanation:

2p + 2 = 48

-2 -2

2p = 46

/2 /2

p = 23

Hope this helps and I hope u have an Amazing day!!

8 0

3 years ago

paige's basketball team scored 28 points in their first game and 72 points in their second game. How many more points did they s

Free_Kalibri [48]

72-28=44
Paiges basketball team scored 44 more points in the second game than the first game

5 0

3 years ago

Evaluate 20-(-5)<br>plz

Nady [450]

Answer:

the answer is 25

Step-by-step explanation:

3 0

4 years ago

If F is a 3x5 matrix, which of the following matrices could F be multiplied by?

Mrrafil [7]

ANSWER

The correct answer is option B.

EXPLANATION

We can only multiply two matrices if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix.

The first matrix given to us has the dimension,

$3 \times 5$

This matrix has 5 columns.

So the second matrix must have 5 rows.

Among the possible answers, the matrix that has 5 rows is the one with dimension,

$5 \times 6$
Therefore the correct answer is B.

Note that, the dimension of a matrix is given by
$row \times column$

7 0

4 years ago