Answer: k=1
Step-by-step explanation:
4k-3=-2k+3
take -3 and 3 and add them up on one side and change the sign
4k=-2k+3
+3
4k=-2k+6
take the -2k and change the sign and add to 4k
4k=6
2k
6k=6
now divide both sides with x
6k/6= 6/6
k= 1
2. C
Slope = 40/8 = 5
Slope of graph c = 5/1 = 5
3. D
Slope = 9/3 = 3
Slope of graph d = 81/27 = 3
Part A: Net A is correct
Net B is incorrect because de triangular sides do not close the opening left in both sides.
Part B: AB=3 in., BC=5in., CD=8.6in.
Part C: The surface area of the prism is the area of the the big rectangle in the net + the area of the 2 triangles
Area of the big rectangle
8.6• ( 3+4+5)= 103.2 in ^2
Area of the triangles
If we get the 2 trangles together along their longest side we get another rectangle
3•4 =12 in^2
Surface area of prism is 103.2+12=115.2 in^2
Mr. Rowley: 16:14 which reduces to 8:7
Ms. Rivera: 64:60 -> 16:15
The ratios are not equivalent because when they are reduced, they do not equal the same thing.