Answer:
The equation of the line would be y = 1/5x + 6
Step-by-step explanation:
First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.
Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/5x + 6
Answer:
13 + 5 + 37
Step-by-step explanation:
Answer:
PQR and JK
Step-by-step explanation:
ΔGHJ ≈ ΔPQR by the Transitive Property of Congruence. GH ≈ JK since corresponding parts of congruent figures are congruent.
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Answer:
No solution or
(-3±
)/8
Step-by-step explanation:
To get the solution, move everything to the left side of the equation:
8x²+6x+5 = 0
If you try to factor the equation or graph it, you will see that it will never equal 0.
If you need an imaginary solution you can plug it into the quadratic equation:
-6±
over 16
Simplify and you get
-6±
over 16
-6±
over 16
Simplify the fraction and you can get
(-3±)/8
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
