1. A triangle has vertices at A (1,1), B(-2,-1) and C(3,-2). a. Graph the triangle on the grid. b. Calculate the side lengths to whether the triangle is isosceles, equilateral or scalene. 2. Determine the length of the line segment with each pair of endpoints. a. (2,5) and (7,4) b. (-3,-9) and (5,3)

3. Determine the midpoint of a line segment with endpoints A(10,2) and B(-6,-8).

4. Triangle ABC has vertices at A(-4, 4), B(-4, -2), and C(2, -2)
a. Graph the triangle.
b. Determine the equation of the median from B to BC.
c. Add the median to the graph. d. Is the median from a. also an altitude?

5. A builder needs to connect a partially built house to a temporary power supply. On the plan, the coordinates of the house are (20,110) and the coordinates of the power supple are (105, 82). What is the amount of cable needed?

6. A circle has a diameter with endpoints C(20, -21) and D(-20, 21). Determine the equation of the circle.

7. Show that points A(10,5) and B(2,-11) lie on the circle with equation x2 +y2=125. Also show that the perpendicular bisector of chord AB passes through the centre of the circle. please help

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step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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