Well, you know that the area of the rectangle is 12 square feet. And you know one of the numbers multiplied to get 12 is 5, so divide 12 by 5. You would get 2.4 as the other number needed.
In this case, 5 feet is the width and 2.4 feet is the length.
You find your slope with the equation
(y2-y1)/(x2-x1)
(-1-2)/ -4-1.5)
(-3)/(-5.5)
.54x is your slope
you then plug that into your equation.
y=mx+b
y=.54x+b
you substitute one of our coordinates.
(-4,-1)
-1=.54(-4)+b
-1=-3.45+b
+3.45
2.45=b
your equation is
y=.54x+2.45
standard form
y-.54x=2.45
Yes this is the correct answer. The slope field shown is the differential equation dy/dx = x+y
All points along the line x+y = k, for some constant k, will have the same tangent slope k. For example, the line x+y = 0 will have every point with tangent slope 0 for the solution y(x). It may not be 100% clear, but this graph has horizontal tickmarks on the line x+y = 0, or the tickmarks are close to being horizontal. Using geogebra, I checked the others and they produced completely different graphs, which allowed me to rule them out.
the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.
Answer:x=7
Step-by-step explanation:
180=112+9x+5
Collect like terms
180-112-5=9x
63=9x
Divide both sides by 9
63/9=9x/9
7=x
x=7
