All categories

2 years ago

In the figure diameter DE is drawn with the midpoint of the circle at C(-3; 2).

Mathematics

1 answer:

Lelechka [254]2 years ago

7 0

Answer:

Step-by-step explanation:

$gradient = \frac{y2 - y1}{x2 - x1}$

$y2 = - 3 \\ y1 = 3 \\ x2 = 2 \\ x1 = 3$

$\frac{ - 3 - 1}{2 - 3} = \frac{ - 4}{ - 1} = 4$

You might be interested in

The price of a coat increased from $78 to $92. What is the price increase percentage?

svetlana [45]

Answer:

18%

Step-by-step explanation:

Percent change can be found using the following formula:

$\frac{original-new}{original}*100$

Original represents the initial cost where new represents the new cost. We multiply the answer by 100 to get the percentage:

$\frac{92-78}{78}*100$ = 18%

6 0

3 years ago

Translate (3,2) to the left one unit. Then reflect the result over the y-axis. What are the coordinates of the final point?

OleMash [197]

Answer:

(-2, 2)

Step-by-step explanation:

Take point (3, 2) and first translate it left one unit. Now the point is (2, 2)

Now reflect it over the y-axis. Doing so keeps the y value the same, we have a vertical line of reflection, so we are only changing the distance to the y-axis, which is the x-value.

Our x value is 2 units away from the y axis, so its reflection will be 2 units away on the other side of the axis.

The new x value is -2, so the point is (-2, 2)

4 0

2 years ago

How many ways can you make 65 cents using nickels dimes and quarters

Neporo4naja [7]

Answer:

14 ways in all.

Step-by-step explanation:

A. If you use 2 quarters, you have to make the remaining 15� with either no

dimes or 1 dime and the rest in nickels.

That's 2 ways.

B. If you use 1 quarter, you have to make the remaining 40� with either no

dimes, 1 dime, 2 dimes, 3 dimes or 4 dimes and the rest, if any, in nickels.

That's 5 more ways.

C. If you don't use any quarters, you have to make the entire 65� with either

0, 1, 2, 3, 4, 5 or 6 dimes and the rest in nickels.

That's 7 more ways. 2+5+7 = 14 ways in all.

4 0

3 years ago

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

$\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}$

The steady state is that satisfies this product of matrixs:

$[\pi] \cdot [P]=[\pi]$

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

$(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)$

Now we have to solve this equations

$0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M$

We choose one of the equations and solve:

$0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6$

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

4 0

3 years ago

What is the lateral area of the figure below. Use 3.14 for pi and round to

nydimaria [60]

Answer:

<em><u> $838.67mm {}^{2}$ </u></em>

Step-by-step explanation:

Note

<h2>Area of a cone = 1/3pir squared * height</h2>

4 0

3 years ago