Find the midpoint of PQ if P(-7, 11) and Q(1, -4).
Find the area of the rectangle with vertices B(8, 0), T(2, -9), R(-1, -7) and C(5, 2).
Find the area of a triangle with vertices (0, 0), E(3, 1) and F(-2, 6).
Given a rhombus with points E(-4, 1), F(2, 3), G(4, 9) and H(-2, 7), find the slopes of the diagonals.
A line passes through points (-2, -1) and (4, 3). Where does the line intersect the x-axis?

I will be happy to critique your thinking and work on this. I wont do if for you.

Send you the answerx?? Who exactly is getting the education here? :)
Give us some idea where the difficulty is and what you've tried. We'll give advice then. K?

11 years ago

## Under root (X2-X1) the whole square +(Y2-Y1) the whole square.

Under root (1-(-7))whole square + (-4-11)whole square.
Under root (1+7)whole square + (-15)whole square.
Under root 8 square + 225
Under root 64 + 225
Under root 289
square root of17 is 289
SO ROOT OF 289 IS 17

11 years ago

## 1/2Ix1(y2-y3)+x2(y3-y1)+x3(y1-y2)I

1/2I0(1-6)+3(6-0)+(-2)(0-1)I
1/2I0+18-2I
1/2I16I
1/2X16

6 years ago

8 months ago

## Of course! I'd be happy to help you with these questions and guide you on how to find the answers. Here's a step-by-step explanation for each question:

1. Finding the midpoint of PQ:
- To find the midpoint of a line segment, we average the x-coordinates and y-coordinates of the endpoints.
- For point P(-7, 11) and Q(1, -4), the midpoint is calculated as follows:
Midpoint(x) = (x-coordinate of P + x-coordinate of Q) / 2
Midpoint(y) = (y-coordinate of P + y-coordinate of Q) / 2
Plug in the values and calculate the midpoint.

2. Finding the area of the rectangle:
- To find the area of a rectangle, we can use the formula: Area = length Ã— width.
- Given the vertices B(8, 0), T(2, -9), R(-1, -7), and C(5, 2), we can determine the length and width of the rectangle using the distance formula.
- The distance formula is: Distance = âˆš[(x2 - x1)^2 + (y2 - y1)^2].
- Calculate the distances between the given points to determine the length and width, then multiply them to find the area.

3. Finding the area of a triangle:
- To find the area of a triangle, we can use the formula: Area = 1/2 Ã— base Ã— height.
- Given the vertices (0, 0), E(3, 1), and F(-2, 6), we can calculate the lengths of the base and height using the distance formula.
- Once we have the lengths, we can plug them into the area formula to find the area of the triangle.

4. Finding the slopes of the diagonals of a rhombus:
- The diagonals of a rhombus are perpendicular bisectors of each other.
- To find the slopes of the diagonals, we can calculate the slopes of the lines connecting opposite vertices of the rhombus.
- Calculate the slopes using the formula: Slope = (change in y / change in x).
- The slope of one diagonal is the negative reciprocal of the slope of the other diagonal.

5. Finding the x-intercept of a line passing through two points:
- Given points (-2, -1) and (4, 3), the line intersects the x-axis when the y-coordinate is equal to zero.
- Set the y-coordinate of the equation of the line to zero and solve for the x-coordinate to find the x-intercept.

Remember, it's important to go through each step and understand the concepts involved in solving these questions. This way, you'll not only find the answers but also learn the process behind them. Good luck!