Answer:
142m
Step-by-step explanation:
This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: 
You are given the <em>a</em> side and <em>b</em> side that are needed for this equation, so it's all a matter of plugging in the information you have:
Now, because the <em>c</em> is still squared, you must take the square root of 20200 in order to get the length of just side <em>c</em>:
≈142m
Answer:
D: y = 3x² - 5x - 2
Step-by-step explanation:
The general form of a quadratic equation is: y = ax² + bx + c
c is the y-intercept
We are given the point (0, -2) which is the y-intercept, so we can rewrite our general form into
y = ax² + bx - 2
We can create a system of equations to solve for a and b. We are given two points.
Equation 1: Take the first point (-2, 20) and plug it into our general equation...
20 = a(-2)² + b(-2) - 2
20 = 4a - 2b - 2
22 = 4a - 2b (add 2 to both sides)
11 = 2a - b (divide both sides by 2 since every coefficient is even)
Equation 2: Take the point (1, -4) and plug it into the general equation
-4 = a(1)² + b(1) - 2
-4 = a + b - 2
-2 = a + b
Now we have our 2 equations:
11 = 2a - b
-2 = a + b
Since the coefficients of b are already have opposite signs, add the two equations together (elimination method)
Now we have
9 = 3a now solve for a...
3 = a (divide by 3 on both sides)
If a = 3, then
-2 = 3 + b
-5 = b
Our equation is
y = 3x² - 5x - 2
Answer:
2 1/4 cups
Step-by-step explanation:
the first step is to determine how many cups would be needed for 1 pancake
1 1/4 ÷ 8
5/4 x 1/8 = 5/32 cups
the second step is to determine how many cups would be needed for 40 pancakes
5/32 x 40 = 25/4 = 6 1/4
The next step is to convert quart to cups
1 quart = 4 cups
So Maria has 4 cups of milk.
the cups she needs more = 6 1/4 - 4 = 2 1/4 cups
