It would be 7 on the side and then 2/6
Answer:
0 and 2
Step-by-step explanation:
To find zeros set f(x)=0 and solve for x
now factor out x
set each factor =0 and solve for x
no solution for x
zeros of f are 0 and 2
Answer:
y = -3/4x -5 (G)
Step-by-step explanation:
Find the slope by using the slope formula. (It's hard to format here so look it up)
Basically, it is y2 - y1/x2 - x1
-5 - 1/ 0 + 8
-6/8 = -3/4
The slope is -3/4.
Plug in for y = mx + b
y (y coordinate) = -5
x (x coordinate) = 0
slope (m) = -3/4
-5 = -3/4(0) + b
-5 = 0 + b
b = -5
y = -3/4x -5
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
Answer:
Triangle
Step-by-step explanation:
all of them have parallel sides except triangle
