Answer:
0.375
Step-by-step explanation:
Angle of depression = 12.52°
The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
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The correct answer is 5 1/2 because if it weren’t simplified it would be 6/2 which makes the numerator the greatest.
Answer:
Step-by-step explanation:
To derive the function rule in slope-intercept form, 
, we need to find the slope, m, and the y-intercept, b, of the graph given.
Using two points on the line, (-1, 2) and (0, -2), find slope (m) as shown below:
m = -4
The line intercepts the y-axis at y = -2, therefore the y-intercept, b, = -2.
Substitute m = -4, and b = -2 into .
The function rule in slope-intercept form would be:
Answer:
(1,-1)
Step-by-step explanation:
We can solve the system by using substitution.
In order to do this we must make x the subject in the first equation.
We can do this by simply subtract 2y from both sides
x + 2y = -1
subtract 2y from both sides
x + 2y - 2y = -1 - 2y
simplify
x = -2y - 1
now that we have made x the subject in one of the equations we can plug in (or substitute) the value of x into the other equation
2x – 3y = 5
x = -2y - 1
2(-2y - 1) - 3y = 5
We can then solve for y
2(-2y - 1) - 3y = 5
Distribute the 2
-4y - 2 - 3y = 5
combine like terms -4y + -3y
-7y - 2 = 5
add 2 to both sides
-7y = 7
divide both sides by -7
y = -1
Now that we have found the value of y we can plug in the value of y into one of the equations and solve for x
x + 2y = -1
y = - 1
x + 2(-1) = -1
multiply 2 and -1
x + -2 = -1
add 2 to both sides
x = 1
So we have found that x = 1 and y = -1 therefore the solution to the system of equations is (1,-1)
