It should be (X,Y)=(15/8,-25/4)
Answer:
Step-by-step explanation:
In the given trianle all sides are equal. So, it is equilateral triangle.
So,each angle is 60
Reason for x = 60,
Two lines are parallel. So alternate interior angle are equal.
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x - h)² + k, where
- (h , k) are the coordinate of the vertex point
- a is the leading coefficient (coefficient of x²)
- If y = ax² + bx + c, then
![h=\frac{-b}{2a}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%7D%7B2a%7D)
- k = f(h) that means the value of y when x = h
∵ y = 2x² - 12x + 25
∵ y = ax² + bx + c
∴ a = 2 , b = -12 , c = 25
∵ ![h=\frac{-b}{2a}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%7D%7B2a%7D)
∴ ![h=\frac{-(-12)}{2(2)}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-%28-12%29%7D%7B2%282%29%7D)
∴ ![h=\frac{12}{4}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B12%7D%7B4%7D)
∴ h = 3
∵ k = f(h)
∴ k = f(3)
∵ y = 2x² - 12x + 25
- Substitute x by 3 to find k
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Learn more:
You can learn more about the quadratic function in brainly.com/question/9390381
#LearnwithBrainly
So, you're wanting using slope-intercept form which is y=mx+b. M is going to be your slope. B is going to be your y-intercept. By taking the numbers they give you, the answer would be in the form y=2x+5. This matches D.
Answer:
2. and 3. are the answers as the graph doesn't go negative after or at the second side