Y = (-3/7)x + 4
Looking at the graph, you can see the trend line plotted. And conveniently, there are a couple of points on the trend line that are indicated. Those points being (0,4) and (7,1). The equation of a line in slope intercept form is:y = ax+b
Looking at the points available, the point (0,4) already gives us the y intercept since x is equal to 0. So our equation becomes:
y = ax + 4
Now we need to determine a which is the slope. The slope is the change in y divided by the change in x. So let's do that
(1-4)/(7-0) = -3/7
And now our equation becomes:
y = (-3/7)x + 4
And given formatting issues, the first option available is the correct one.
Answer:
-14
Step-by-step explanation:
-2(z+11)=6
-2z-22=6
-2z=28
z=-14
This DE has characteristic equation
with a repeated root at r = 3/2. Then the characteristic solution is
which has derivative
Use the given initial conditions to solve for the constants:
and so the particular solution to the IVP is
Answer:
Step-by-step explanation:
1. The slope is -5/2
2. There is no slope for the second one it's just y=3
3. The slope is 3
4. These are perpendicular lines
5. These lines are parallel.
6. These lines are neither perpendicular nor parallel.
7. These lines are perpendicular
8. y = 4/3x - 2
9. y = -1/2x + 5
10. x = -1
Hope this helps!
In this question the given information's should be closely noted. The
length and width of the perimeter are already given. Based on those
information's the answer to the question can be easily deduced.
Length of the rectangle = 2 1/2 inch
= 5/2 inch
Width of the rectangle = 5 1/3 inch
= 16/3 inch
Then
Perimeter of a rectangle = 2 ( Length + Width)
= 2 [(5/2) + (16/3)]
= 2 [ (45 + 32)/6]
= 2 * (77/6)
= 77/3 inch
= 25 2/3 inch
So the perimeter of the rectangle in question is 25 2/3 inch. I hope the procedure is clear to you.
