Answer:
y = -3/2x + 2
Step-by-step explanation:
The equation has the format y = mx + b where m is the slope and b is the y-intercept.
The question gives you the y-intercept, so b = 2.
As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.
The slope of the line given in the question is 2/3. The opposite reciprocal of 2/3 is - 3/2.
The equation for the line is y = -3/2x + 2
Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
D. countries w higher literacy rates have a higher standard of living<span />
F(x) = 1/x and g(x) = -10/x
Domain: same: all real numbers other than x=0.
Range: strictly speaking, these 2 functions have the same range: all real numbers other than y=0. But the graph of g(x) = -10/x looks stretched vertically when compared with that of f(x) = 1/x.
The angle of elevation is 18. 43 degrees
<h3>What is angle of elevation?</h3>
Angle of elevation can be described as an angle formed between a horizontal line and the line of sight above the line.
From the information given, we have that;
- Length of opposite side = 1 meter
- Length of adjacent side = 3 meters
- Angle of elevation = θ
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan θ = 1/ 3
Divide the values
tan θ =0. 3333
Find the tan inverse of the value to determine θ
θ = tan^-1(0. 3333)
θ = 18. 43 degrees
Hence, the value is 18. 43 degrees
Learn more about angle of elevation here:
brainly.com/question/88158
#SPJ1