So to graph you problem you should first consider that the one side of the bar is 150feet because it is in the other partitioned of the fence and the function of it would be 150(x) because the barn's area is calculated through it length time width. I hope this will help
X intercept is when y = 0 so 4x = -20, x=-5
y intercept when x = 0 so -5y = -20, y=4
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
Answer:
(b - c)(a - d)
Step-by-step explanation:
Given
a(b - c) + d(c - b) ← factor out - 1
= a(b - c) - d(b - c) ← factor out (b - c) from each term
= (b - c)(a - d)
Answer:
GK = 20
Step-by-step explanation:
