Answer:
y= x-4
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula
m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.
We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in
y-1=1(x-5)
Solve for y by isolating it
Distribute the 1
y-1=1*x+ 1*-5
y-1=x-5
Add 1 to both sides
y=x-4
Out of 6 wedges, Jody eats 4 wedges obviously so he eats 4/6 of the orange or to make it simple 2/3 of it
Let h = height of the box,
x = side length of the base.
Volume of the box is
.
So
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
![4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86](https://tex.z-dn.net/?f=%204x%20%3D%20%5Cfrac%7B460%7D%7B%20x%5E%7B2%7D%20%7D%20%20%5C%5C%20%204x%5E%7B3%7D%20%3D%20460%20%20%5C%5C%20x%5E%7B3%7D%20%3D%20115%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B115%7D%20%3D%204.86%20)
Then
So the box is 4.86 in. wide and 4.87 in. high.
Answer:
B: (2, -1)
Step-by-step explanation:
1) First isolate the y in both equations
2) Set the equations equal to each other
3) Solve for x (you should get 2 and 5)
4) Insert the x values back in to get your y values
5) You should have gotten (2, -1) and (5, 2)
These are your two answers, but the question is only asking for one solution and (5,2) isn't one of the options, so it has to be (2,-1).
Answer:
$3.90
Step-by-step explanation:
its B
