Answer:
The dimensions of the garden are 22.5ft by 27.5ft
Step-by-step explanation:
Here, we want to calculate the dimensions of the garden.
let the length be x ft
we are told that the he wants the length to be 5 feet more than the width;
That means the width will be (x-5) ft
Mathematically;
Since the shape is rectangular, the perimeter will be 2( l + w)
Thus; 2(x + x-5) = 100
2(2x-5) = 100
divide both sides by 2
2x-5 = 50
2x = 50 + 5
2x = 55
x = 55/2
x = 27.5 ft
The width is thus; 27.5ft - 5ft = 22.5ft
the dimensions of the garden are 27.5 ft by 22.5 ft
Answer:
Both of these graphs are quadratics. They both form a parabola opening up
Step-by-step explanation:
The only difference between g(x) and f(x) is that g(x) is moved to the left 7 unit and has a horizontal stretch of 1/4
Given: 3y cos x = x² + y²
Define

Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
Answer: 5x - 2y = 8
y+1=5/2(x-2)+2
multiply the each side by 2 to get rid of the fraction
2 (y+1) = (5/2 (x-2) +2 )2
2y+2=5(x-2)+4
now distribute the 5
2y+2=5x-10+4
subtract the two from each side
2y=5x-10+4-2
add like terms
2y=5x-8
subtract 5x from each side
2y-5x=-8
multiple the whole equation by -1 to make the 5x a positive
-2y+5x=8
hope this helps!