<h2>
Answer:</h2>
The expression which represents the perimeter P of the rectangle as a function of L is:
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Step-by-step explanation:</h2>
The length and width of a rectangle are denoted by L and W respectively.
Also the diagonal of a rectangle is: 10 inches.
We know that the diagonal of a rectangle in terms of L and W are given by:
( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )
Hence, we have:
But we know that width can't be negative. It has to be greater than 0.
Hence, we have:
Now, we know that the Perimeter of a rectangle is given by:
Here we have:
Answer:
Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed 
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,
When automobile is 30 miles past the intersection,
For x = 30
Since 
Therefore,
Answer:
Step-by-step explanation:
c.
y= 30x² +44x +16
factor
y= 2 (15x² +22x +8)
find zeros
15x²+22x+8=0
ax²+bx+c=0
x= (-b±√(b²-4ac))/2a
x= -22±√484-480/30 = -22±2/30 = -11±1/15
there are 2 zeros x= -10/15 ; x= -12/15
d.
y= 10x² +60x +80
factor
y= 10(x²+6x+8) = 10( x+2)(x+4)
finding zeros
x+2 =0 so x= -2
x+4 =0 so x= -4
there are 2 zeros x= -2; x= -4
The answer is 16 2/3 as explained above
Answer:
13
Step-by-step explanation:
8/2=16/4
=4
x-3=2.5*4
x=10+3
x=13
