Answer:
Correct answer is A 357,5
Step-by-step explanation:
I)
The Midpoint M of the line segment AB is found using the Midpoint formula:

ii)
the slope of the line through A and B is found by the slope formula:

iii)
the product of the slopes of 2 perpendicular lines is -1, so the slope of the line perpendicular to the line through A and B is -1/(-1)=1
iv)
the equation of the line with slope 1, which contains point M(3, 9) is found by the slope point form equation of a line:
y-9=1(x-3)
y-9=x-3
y=x+6
Answer: y=x+6
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
Answer:
402m
Step-by-step explanation:
Set this up as a triangle and use trig to solve it:
tan(45) = y/402
y = 402*tan(45)
substitute: tan(45) = 1
y = 402 * 1
y = 402m