SOLUTION: 1.Determine the distance between A(-1, 2, 3) and B(4, -5, 6) to the nearest tenth. 2.Which of the following is the equation in slope-intercept form of the line that passes through

Algebra ->  Pythagorean-theorem -> SOLUTION: 1.Determine the distance between A(-1, 2, 3) and B(4, -5, 6) to the nearest tenth. 2.Which of the following is the equation in slope-intercept form of the line that passes through      Log On


   

Question 310470: 1.Determine the distance between A(-1, 2, 3) and B(4, -5, 6) to the nearest tenth.
2.Which of the following is the equation in slope-intercept form of the line that passes through (0, 2) and has a slope of -3.
a)y = -3x + 2
b)y = 2x - 3
c)2/3x+0
d)-3/2+0
3.Determine the coordinates of the midpoint of the line segment whose endpoints are A(0, 2, 4) and B(-8, 2, -6).
4.Find the coordinate of the image of point (-1, 3) reflected over the x-axis.
5.What is the measure of the angle of rotation with respect to two lines that intersect to form a 25° angle?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.D%5E2=%28-1-4%29%5E2%2B%282-%28-5%29%29%5E2%2B%283-6%29%5E2
D%5E2=25%2B49%2B9
D%5E2=83
D=9.1
.
.
.
2.Use the point-slope form of a line,
y-yp=m%28x-xp%29
y-2=-3%28x-0%29
y=-3x%2B2
a) is the correct answer.
.
.
.
3. A(0, 2, 4)
B(-8, 2, -6)
xm=%280-8%29%2F2=-4
ym=%282%2B2%29%2F2=2
zm=%284-6%29%2F2=-1
M=(-4,2,-1)
.
.
.
4. Relection across the x-axis makes the y-coordinate negative.
(-1,-3)