Answer:
9
inches
or
12.728 inches
Step-by-step explanation:
Use Phytagorean Theorem
Since both all sides of a square are equal, this means that 
and 
are equal.
So that leaves us with:
Simplify
Divide both sides by 2
Simplify
Find the square root of both sides
a = 9
(or if you want the decimal, rounded to the 3rd decimal place: 12.728)
Answer:
Area of shaded region = 28 in^2
Step-by-step explanation:
Area of rectangle = 8 x 5 = 40 in^2
Area of triangle = 1/2 x 8 x 3 = 12 in^2
Area of shaded region = 40 in^2 - 12 in^2 = 28 in^2
Mean = total change/ number of days
3.2 = total change/ 5
total change = 3.2 x 5 = 16 fahrenheit
Okay so I attatched pictures of my work. I would just graph it by plugging in x-values on either side of the vertex into the equation. For example, the vertex is at (-2,3). So try plugging x=-5 and x=1 into the equation (y=a(x-h)^2 +k).
y=(x+2)^2 +3
y=((1)+2)^2 +3=(3)^2+3= 9+3=
12
Now you can plot the vertex (-2,3), the point (1,12), and (-5,12). From there just connect the dots and you should get a graph that looks similar to the last picture I attached. Hope this all made sense sorry it was so wordy I just wasn't sure how much you knew or didn't know. So, I thought it would be better to explain it all rather than not enough.
Answer: 4 cups of milk
=============================
Work Shown:
2 & 1/2 = 2 + 1/2 = 2+0.5 = 2.5
2.5 cups of milk makes 5 servings
x cups of milk makes 8 servings
Divide the cups of milk over the servings to get this proportion
2.5/5 = x/8
Cross multiply and solve for x
2.5/5 = x/8
2.5*8 = 5*x
20 = 5*x
5*x = 20
x = 20/5
x = 4
You need 4 cups of milk to make 8 servings
