They are two triangles faces that are (6x2)/2 = 6 and the other one is 6 to
so that's 12
the top side is 4 x 2 = 8
back side is 3 x 2 = 6
the bottom side is 2 x 6 = 12
so its 12 + 8 + 6 + 12 = 36 inches squared surface area
Answer:
1.125 or 9/8
Step-by-step explanation:
5/8 is .625 and 3/6 is .5 so .625+.5=1.125
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:
24
Step-by-step explanation:
6 divided by 5 times 20 =24
6/5*20= 24
Answer:
Let X be 2
Now,
y = 5*2 - 8
or, y= 10-8
or, y =2
Hope this will help please mark me as <em>brainlest.</em>
