Answer:
C is the most reasonable answer because to add the system of equations together, you must make sure that one of the terms (whether it be the x or y value) can cancel out.
Step-by-step explanation:
Answer:
Yes, because it does not have a constant rate of change.
Step-by-step explanation
For a graph to be linear, it must have a constant rate of change. If it's <em>curving</em> down, the rate of change is not constant.
Answer:
3 points on the line - (.5,3) (1,2) (1.5,1)
Step-by-step explanation:
y = -2x + 4 (1.5,1)
1 = -2x + 4 subtract 4 from each side
-3 = -2x divide each side by -2
1.5 = x
y = -2x + 4 (1,2)
2 = -2x + 4 subtract 4 from each side
-2 = -2x divide each side by -2
1 = x
y = -2x + 4 (.5,3)
3 = -2x + 4 subtract 4 from each side
-1 = -2x divide each side by -2
.5 = x
By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
<em><u>Recall:</u></em>
- Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
- SOH represents: sin ∅ = Opp/Hyp
- CAH represents: cos ∅ = Adj/Hyp
- TOA represents: tan ∅ = Opp/Adj
The diagram attached below depicts the problem given.
∅ = x
Opp = 15 ft
Hyp = 50 ft
- Thus, applying the trigonometry ratio, SOH, we have:
sin x = 15/50
x = 
x = 17.5°
In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
Learn more about trigonometry ratio on:
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