The answer is 5 planes - we count one for every side.
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Answer:
- Q6. x = 17
- Q8. Yes, parallel
- Q9. No, not parallel
Step-by-step explanation:
Q6. Solve for x
<u>Use ratios of similar sides</u>
- 28/(82 - 28) = (2x + 8)/(5x - 4)
- 28/54 = (2x + 8)/(5x - 4)
- 14/27 = (2x + 8)/(5x - 4)
- 14(5x - 4) = 27(2x + 8)
- 70x - 56 = 54x + 216
- 70x - 54x = 56 + 216
- 16x = 272
- x = 272/16
- x = 17
Q8
If ratios are same, the lines are parallel
- 41.8/33 = (102 - 45)/45
- 41.8/33 = 57/45
- 41.8*45 = 33*57
- 1881 = 1881
Yes, lines are parallel
Q9
Incorrect, lines are not parallel
1) y=3x-4
When x increases by 1, y increases by 3 so the slope is rise/run → 3
y-int is -4 bc y-value is -4 when x=0
2)y=-3x+4
When x increase by 2, y decreases by 6 so the slope is rise/run → -3
y-int is 4 bc y-value is 4 when x=0
3)y=-1/3x+4
When x increase by 3, y decreases by 1 so the slope is rise/run → -1/3
y-int is 4 bc you now have the equation y=-1/3x+b and u just have to plug in random point from the graph, so ex, 6 into x and 2 into y. You can get 4 as b in the equation.
4)y=1/3x-4
When x increases by 6, y decreases by 2 so the slope is rise/run → 1/3
y-int is -4 bc u do the same thing as 3)
For ex, plug in 6 for x and -2 for y and you can get -4 as the b in the equation.
