Answer:
x = -8
Step-by-step explanation:
x + (8/4) = -6
x × 4 + (8/4) × 4 = -6 × 4
4x + 8 = -24
4x = -24 - 8
4x = -32
x = -8
Put the other line in point slope form...(solve for y :D )
3y=15x+9
y=5x+3, so this line has a slope of 5
For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...
s1*s2=-1
So for the other line to be perpendicular to the first:
5m=-1, m=-1/5, thus our other line (so far) is:
y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":
-1=b-(-8)/5
-1=b+8/5
-1=b+1.6
b=-2.6
So the perpendicular line that contains the point (-8,-1) is:
y=-0.2x-2.6
The answer is 74 years. do 11/3=3.67. Then 3.67x20 =73.4 and since that .4 is not a full year you would have to round up to 74
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.
To find the displacement function, we need to to Integrate the velocity function.
At time t=0, there was no displacement.
This implies that,
The displacement function then becomes,
To find the displacement over the first π seconds, we put
into the equation for the displacement to get,
