Answer: y= -1/2x + 5/2
Step-by-step explanation:
3x = 15 -6y
+6y + 6y
3x +6y =15
-3x -3x
6y= 15-3x divide both sides by 6
y= 15/6 - 3/6x
in slope intercept form us y= -3/6x + 15/6 in simplest form is y= -1/2x + 5/2
Answer:
<h2>5</h2>
Step-by-step explanation:
<h2>√125/5 = √25 since 125/5 = 25</h2><h2>√25 = 5</h2><h2 /><h2>Hopes this helps. Mark as brainlest plz!</h2>
The given radius is = 60 feet
The volume of the sphere is given by = 
So we will find the volume of the sphere using radius as 60 and pi as 3.14
Volume = 
= 902059.20 cubic feet
As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.
So volume of quarter sphere = 
= 225514.80 cubic feet
And rounding this to nearest whole number we get 225515 cubic feet as the answer.
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
Yes
Step-by-step explanation:
Since we are adding two polynomials
The sum will also be polynomial
