1/9
Here's the proper explanation:
Since the vertex is (2,-1), the original equation will look like this: y=a*(x-2)^2-1
When the substitution happens we get to this:
0=a*(5-2)^2-1 then 1=a*(5-2)^2 -> 1=a*9
So, a=1/9! Written in another form:
1/9x^2-4/9x+4/9-1
Hope could help :)
Answer:
Answer: {x = -2
, y = 5
Step-by-step explanation:
{x + 4 y = 18 | (equation 1)
{x + 8 y = 38 | (equation 2)
Subtract equation 1 from equation 2:
{x + 4 y = 18 | (equation 1)
{0 x+4 y = 20 | (equation 2)
Divide equation 2 by 4:
{x + 4 y = 18 | (equation 1)
{0 x+y = 5 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{x+0 y = -2 | (equation 1)
{0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -2
, y = 5
The answer should be 112 degrees
Answer: tHE ANSWER IS C
Step-by-step explanation: I just took the quiz.
Answer:
15 in.
Step-by-step explanation:
The area of the left-most square is 81 in.^2. Area = L*W (Length times width), and since we know squares are always equal on each side, we can do 9*9=81. That means the left side of the triangle is 9.
Then, we move to the bottom-most square. The perimeter is 48 in. As said before, we know all sides of a square must be equal. We will divide 48 by 4, as that's how many sides a square has (mind-blowing!), and we get 12. That means, using the Pythagorean Theorem, (9^2) + (12^12) = C^2. We can simplify this to 81 + 144 = C^2, or 225 = C^2 if you add those two numbers together. We can take the square root of both sides to get C = 15!