Answer:
I hope this helps the equation and the graph
Answer:
<em>y = -2/3 x + 1</em>
Step-by-step explanation:
The line y = -2/3 x + 5 is in y = mx + b form, where m is the slope, so the slope of the given line is -2/3. Parallel lines have equal slopes, so the equation you are looking for also has slope -2/3.
The parallel line has equation
y = -2/3 x + b
We need to find b.
Since we are given a point, we substitute x and y with the x- and y-coordinates of the given point and solve for b. x = 6, and y = -3.
y = -2/3 x + b
-3 = (-2/3)(6) + b
-3 = -4 + b
1 = b
Now that we know b = 1, we can write the equation.
y = -2/3 x + b
y = -2/3 x + 1
Step-by-step explanation:
the answer is 10 dogs...
Answer:
? = 47°
Step-by-step explanation:
The angle marked B at the intersection of the secants is half the difference of the arcs they intercept.
∠B = (DE -AC)/2 = (142° -48°)/2 = 47°
The unknown angle is 47°.
Use Hooke's law to find the spring constant. If it takes 8N to stretch the spring by 0.1m, then
I'm going to assume the spring is fixed to a ceiling, and that any stretching in the downward direction counts as movement in the positive direction. The spring's motion is then modeled by
where
is the position of the spring's free end as it moves up and down. Solving this is easy enough: the characteristic solution will be
Given that the spring is stretched to a length of 1m (a difference of 0.25m from its natural length), and is released with no external pushing or pulling, we have the two initial conditions
and
.
So the spring's motion is dictated by the function