Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
Step-by-step explanation:
The given initial value problem is;
Let
Differentiating both sides of equation (1) with respect to 
, we obtain:
Differentiating both sides of equation (2) with respect to gives:
From equation (1),
Putting t=0 into equation (2) yields
Also putting t=0 into equation (3)
The system of first order equations is:
The solution would be x=0 because the statement is false.
Answer:
There is no diagram or any information of what you are dilating but a simple tip is to DIVIDE THE TARGET BY 2
Step-by-step explanation:
You would divide by two because you're dilating by 1/2
Answer: 60°
Step-by-step explanation:
π/3
Since π is denoted as 180°, the question can be rewritten as:
π/3 .
To convert π/3 radians to the nearest degree will be:
π/3 = 180/3
= 60°
