Answer:

Step-by-step explanation:
THe slope of a straight line is given by the formula:

Where
m is the slope
x_1 and y_1 are the first coordinate pair points [(2,3)]
x_2 and y_2 are the second coordinate pair point [(8,6)]
So, we know that:
x_1 = 2
x_2 = 8
y_1 = 3
y_2 = 6
Now we substitute and find the value of slope to be:

Answer:
Step-by-step explanation:
Part A. John will not be painting the floor area of that of the door or window openings.
Part B. Subtracting the areas of the floor, door, and window from the total surface area will provide the area to be painted so Judy is correct.
Part C.
We first need to find the area to be painted.
A=floor+2(wall1)+2(wall2)-window-door
A=14(7)+2(7)8+2(14)8-3(6)-3(7)
A=98+112+224-18-21
A=395 ft^2
Since a gallon of paint will cover 350 ft^2
395ft^2(gal/350ft^2)=1.13 gal
John will need approximately 1.13 gallons of paint. (Rounded to nearest hundredth of a gallon)
Answer:
y = 2x-5
Step-by-step explanation:
y = 2x+2
We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope
We want a parallel line so it has the same slope
We can use the point slope form of the equation
y-y1 = m(x-x1)
y--1 = 2(x-2)
y+1 = 2(x-2)
Distribute
y+1 = 2x-4
Subtract 1 from each side
y+1-1 = 2x-4-1
y = 2x-5
This is in slope intercept form
Answer:
m = 6,9
Step-by-step explanation:
We are given that
is a solution to given differential equation.
First we 3evaluate the value of:

Putting these value in the above differential equation, we get,





Thus, for m = 9,6 , the function
is a solution of given differential equation.