Answer:
3m = -3
Step-by-step explanation:
Subtract 2m from both sides of the equation:
-6 = 6m
Divide both sides by 2:
-3 = 3m
Answer:
h² + x² = d²
Step-by-step explanation:
h and x are legs. d is the hypotenuse.
h² + x² = d²
Answer:
(a) 6
(b) 12
(c) 18
(d) The ratios are all equal.
Step-by-step explanation:
I assume that -5 goes with -11, -4 goes with -5, -3 goes with 1, etc.
(a) Look at the points (0, 19) and (1, 25). The inputs are 0 and 1, so the inputs are 1 unit apart since 1 - 0 = 1. Now look at the outputs. They are 19 and 25, and 25 - 19 = 6. The difference of outputs is 6 for a difference of inputs of 1.
(b) Look at points (0, 19) and (2, 31). The inputs are 2 units apart since 2 - 0 = 2. The outputs are 12 units apart since 31 - 19 = 12.
(c) Look at points (0, 19) and (3, 37). The inputs are 3 units apart since 3 - 0 = 0. The outputs are 18 units apart since 37 - 19 = 18.
(d) In part (a), with inputs 1 unit apart, the ratio of output difference to input difference was 6/1. In part (b), with inputs 2 units apart, the ratio of output difference to input difference was 12/2 which is the same as 6/1. In part (c), with inputs 3 units apart, the ratio of output difference to input difference was 18/3 which is the same as 6/1. The ratios are all equal.
We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:
sin (32) = CD / 960
CD = 508.72
tan 32 = 508.72 / AD
AD = 814.13
Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.
Something angle nit sure ask your teacher
