Answer:
When they are equal, y=y, so we can say:
x^2+5x-2=x+1 subtract x from both side
x^2+4x-2=1 add 2 to both sides
x^2+4x=3, now add half the linear coefficient squared, (4/2)^2=4
x^2+4x+4=3+4 now the left side is a perfect square
(x+2)^2=7 now take the square root of both sides
x+2=±√7 subtract 2 from both sides
x=-2±√7
x=-2+√7 and -2-√7
y=x+1 the two points where these equations are equal are:
(-2-√7, -1-√7) and (-2+√7, -1+√7)
or approximately:
(-4.65, -3.65) and (0.65, 1.65)
Step-by-step explanation:
Answer:
89.95 inches.
Step-by-step explanation:
We are asked to find the best approximation for the perimeter of a semicircle whose diameter is 35 inches.
, where D represents diameter of semicircle.
Upon substituting D=35 and
in above formula we will get,
![\text{Perimeter of semicircle}=\frac{1}{2}\times 3.14\times 35+35](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20semicircle%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%203.14%5Ctimes%2035%2B35)
![\text{Perimeter of semicircle}=3.14\times 17.5+35](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20semicircle%7D%3D3.14%5Ctimes%2017.5%2B35)
![\text{Perimeter of semicircle}=54.95+35](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20semicircle%7D%3D54.95%2B35)
![\text{Perimeter of semicircle}=89.95](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20semicircle%7D%3D89.95)
Therefore, perimeter of our given semicircle is 89.95 inches.
Answer:
There could be many but one of them is
(m+5)(m-9)=0....
Answer:
3 1/2 hours
Step-by-step explanation:
This is a problem in units conversion. We want to get from bags to hours by way of minutes per bag. One bag takes an effort of 2/3 person·minute, so we need to divide the total effort by the number of persons and convert minutes to hours.
(1575 bags)×(2/3 person·min/bag)/(5 person)/(60 min/h)
= (1575)(2/3)(1/5)(1/60) h = 3.5
It will take the 5 of them about 3 1/2 hours to prepare 1575 bags.
Answer:
It's A. (2, 0) and (0, -4)