Find the coordinates of the intersection of the diagonalsof parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2). Hint: what do we know about
the diagonals of a parallelogram?

Answers

Answer 1
Answer:

The coordinates of the intersection of the diagonals  of parallelogram XYZW is at (6, 4).

Parallelogram

A parallelogram is a quadrilateral in which opposite sides are parallel and equal. The diagonals of a parallelogram bisect each other.

Given parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2).

The equation of diagonal XZ is:

  • y-2=(6-2)/(10-2) (x-2)\n\ny=0.5x+1

The equation of diagonal YW is:

  • y-6=(2-6)/(9-3) (x-3)\n\ny=-(2)/(3) x+8

The point of intersection is at:

0.5x + 1 = (-2/3)x + 8

x = 6. Hence y = 4

The coordinates of the intersection of the diagonals  of parallelogram XYZW is at (6, 4).

Find out more on Parallelogram at: brainly.com/question/970600

Answer 2
Answer:

Answer:

We know the basic facts about parallelogram is The basic formula for calculating the area of a parallelogram is the length of one side times the height of the parallelogram to that side.

Step-by-step explanation:


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What is the value of f(2)
A) -1
B) -0.75
C) 3
D) 12

Answers

Graphed Functions

When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.

Solving the Question

We are asked to find f(2).

On the graph, first find the location of x=2.

Then, identify where the function is at x=2.

Finally, identify the corresponding y-value: 12.

Answer

The value of f(2) is 12.

Determine the rate of change shown in the following ordered pairs: (4,9) and (-1, 9)

Answers

To determine the rate of change between the ordered pairs (4, 9) and (-1, 9), you can use the formula:

Rate of change = (Change in y) / (Change in x)

In this case, both ordered pairs have the same y-coordinate (9), so the change in y is 0. The change in x is the difference between the x-coordinates, which is:

Change in x = (-1) - 4 = -5

Now, you can calculate the rate of change:

Rate of change = (0) / (-5) = 0

So, the rate of change between these two ordered pairs is 0. This means that the y-coordinate (9) remains the same, and there is no change in the dependent variable as the independent variable (x) changes from 4 to -1.

Find the slope between each pair of points ​

Answers

Answer:

1

Step-by-step explanation:

y2-y1

‐---------

x2-x1

7-5

------

6-4

2

-- = 1

2

The answer is 1

This is because y2-y1/x2-x1
If you plug that in you get 5-7/4-6
That simplifies to -2/-2
Which is 1

Hope this helped!

If y = 2x + 7 were changed to y = 12x + 7, how would the graph of the new function compare with the original?A. It would change orientation and slant up.
B. It would be less steep.
C. It would be steeper.
D. It would change orientation and slant down.

Answers

The correct answer is:

C) It would be steeper.

Explanation:

These equations are in slope-intercept form.  

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The change from y=2x+7 to y=12x+7 is that 2 is changed to 12.  Both 2 and 12 are in the place of m, meaning they are the slope.

This means the y-intercept stays the same; they start in the same position.

The slope, or rate of change, changes from 2 to 12.  Since both are positive, the line will continue to point up (increase).  However, an increase in slope means the line will increase more quickly, which results in a steeper line.
The x value governs the steepness of the line, so 12x is steeper than 2x

So the answer is C

Twenty-five students use 120 sheets of paper. Find the unit rate in sheets per student

Answers

sheets / student = 120 / 25 = 4.8 sheets per student

The marketing department of a firm in New York City is curious to see which group of U.S. high school students, from the 9th, 10th, 11th, or 12th grades, spends the most time watching television each day. After selecting 25 students randomly, they find that 9th graders watch the most television per dayPart A: What is the population?
Part B: What is the sample of the population?
Part C: Discuss collaboratively: Explain the difference between population and sample

Answers

The population is the total number of students from grades 9, 10, 11, 12.
Sample is the small number that represents the population. It is represented by 25 students.

Population is the whole number, sample is part of the whole number.