Answer:
x = 21
Step-by-step explanation:
8 + 3x = 29 + 2x
8 + 3x - 2x = 29
8 + x = 29
x = 29 - 8 = 21
x = 21
Answer:
θ = 
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ = 
Sin θ = 
= 0.5
θ =
0.5
θ = 
Thus, the angle of elevation from the base to the top of the mountain is
.
7 + (0-7) * 2/3 = 7 - 14/3 = (21 - 14) / 3 = 7/3 = 2.3
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)
We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)
the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)
Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)
Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
Answer:
B.) y - 6 = -8/5(x + 2)
Step-by-step explanation:
Remember in order to find the slope intercept form on 2 points, you need these equations:
and 
To find the slope, you will need to use the first equation. In this case the equation will look like this: 
Then use the second equation, plug in the numbers, and you will get B as your answer