Answer:
Parallel
Step-by-step explanation:
Parallel lines:
The parallel lines have same slope.
y = 2x + 3
Compare with slope y-intercept form of the line: y = mx +b
m is slope and b is the y-intercept.
slope of this line = 2
y = 2x
Slope = 2
These lines have same slope. So, they are parallel.
Answer:
B) Beth went back toward her origin.
Step-by-step explanation:
From 0 to 6, the graph increases. The dependent variable in this case is position and the independent variable is time; this means for this portion of the graph, as time increases the position increases as well.
From 6 to 10, the graph decreases. As time increases the position decreases. This means she goes back to her original position.
Answer:
The equation that represents the new path is y=(1/3)x+4
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-3x-6
so
the slope m is equal to
m=-3
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-3 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/3
step 3
With m=1/3 and the point (-3,3) find the equation of the line
y-y1=m(x-x1)
substitute
y-3=(1/3)(x+3)
y=(1/3)x+1+3
y=(1/3)x+4 -----> equation that represent the new path
Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write
Hence then value of x=-1.
The answer is (-7,3). Hope it helps. Tell me if you need the whole work or if I'm wrong.
