9514 1404 393
Answer:
- perimeter: 22.81 units
- area: 24 square units
Step-by-step explanation:
The lengths of the sides can be found using the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10
BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2
The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.
Then the perimeter is ...
P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units
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The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...
A = 1/2bh
A = 1/2(8)(6) = 24 . . . square units
well #7 is a solution.
y= 9x (4,36)
9 times 4 = 36
36/9=4
so the ordered pair is a solution.
y=3x-5 (7,16)
3 times 7 -5= 16
so once again the ordered pair is a solution.
Hoped this helped.
V = a ^ 3
V= 5 ^ 3 = 125 cm cube
Using slope intercept form (y=mx+b) it’s- y = 2x -5