Point d is on line segment ce. Given ce = 18 and cd=12,determine the length de

1.2) Q5.) The graph is a transformation of one of the basic functions. Find the equation that defines the function.

Yuri [45]

The graph starts at around x = 0. At x = 0, the graph's y-value is 2. There are no x-values that are less than 0.

The graph crosses the following points: (1,1); (4,0); (9, -1)

The distance between each y-value is exponentially increasing, as the slope of the graph is slowly decreasing as x approaches infinity.

Based on this information, we can say that this graph is a transformation of the base function, y = √x

To determine the transformations made, we need to compare the graph to the original base function (attached below).

The basic function starts at 0, and has a positive slope. It reaches the points (1,1); (4,2); and (9,3).

The graph in the question shows the function start at 2, and the negative slope reaching the points mentioned earlier in the answer.

Based on this information, we can conclude that y = -√x + 2.

6 0

2 years ago

Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

Midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ .

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: $\frac{x+2}{2}=5$ From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: $x+2=10$

Next, subtract both sides by 2 and your x-coordinate is $x=8$

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

$\frac{y+0}{2}=2\\ y=4$

<u>Putting it together, the missing endpoint is (8,4).</u>

<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>

$\frac{x+5}{2}=6\\ x+5=12\\ x=7$

$\frac{y+4}{2}=3\\ y+4=6\\ y=2$

<u>The missing endpoint is (7,2).</u>

$\frac{x+3}{2}=-1\\ x+3=-2\\ x=-5$

$\frac{y+9}{2}=5\\ y+9=10\\y=1$

<u>The missing endpoint is (-5,1).</u>

8 0

2 years ago

Determine if the matrix is symmetric.

Amanda [17]

Answer:

because this is equal to the given matrix, the given matrix is symmetric.

Step-by-step explanation:

A symmetric matrix is a square matrix which has same number of rows and columns. Square matrix is equal to transpose. Equal matrices have equal dimensions. The given matrix is symmetric because the rows and columns are equally distributed.

4 0

3 years ago

you are considering 2 jobs. one job pays $250 per week, plus 4.5% commission on all sales. The second job pays $1,800 per month

Hoochie [10]

The correct answer is A. Not only does $250 a week equal $1000 a month but the commission is also higher.

first job: $250wk = $1000 Month + .045 commission
= $12000 year + .045 commission
second job = $1800 Month + .03 commission
= $21600 year + .03 commission
commission based on sales of $1,000,000

1,000,000 times .045 = $45000
1,000,000 times .030 = $30000

FIRST JOB: $12,000 + $45,000 = $57,000
SECOND JOB: $21,600 + $30,000 = $51,600

The answer is definitely A.

5 0

2 years ago

Look at the rectangle and the square:

VashaNatasha [74]

Answer:

She is incorrect

Step-by-step explanation:

Pythagorean theorem:

16^2+8^2

256+64=320

320 is 17.89

8^2+8^2

64+64=128

√128 is 11.31

Ada is incorrect. The length of diagonal SQ is bigger than the length of diagonal OM. But it is not two times bigger.

5 0

2 years ago