Step-by-step explanation:
It is (A)95° by using External Angle Property of triangles.
BTW whats up with that order C-D-B-A
Answer:
B: (5,3)
Step-by-step explanation:
The second point is (3,1)
2 units up is +2
2 units right is also + 2
So the new coordinates will be;
(3 + 2, 1 + 2) •= (5,3)
Simpolify
-(5-y)=-1(5-y)=-5+y
y-5=-5+y
minus y from both sides
-5=-5
true
identity
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
To make calculation easier, we first multiply
1.35 × 100 = 135
then we need to find how many groups of 5 are there in 135.
to do so, we simply take
135 ÷ 5 = 27
therefore, the answer is <u>27.</u>