Answer:
- (4, 0) and (-2, 0)
- (1, -9)
- (0, -8)
Step-by-step explanation:
Finding the x-intercepts :
- y-value of the x-intercept is 0
- 0 = (x - 4)(x + 2)
- x - 4 = 0 ⇒ x = 4
- x + 2 = 0 ⇒ x = -2
- The x-intercepts are : (4, 0) and (-2, 0)
Finding the vertex :
- Expanding the function f
- f(x) = (x - 4)(x + 2)
- f(x) = x² - 4x + 2x - 8
- f(x) = x² - 2x - 8
- Vertex = (h, k)
- h = -b/2a = -(-2)/2(1) = 1
- k = (1)² - 2(1) - 8
- k = 1 - 2 - 8 = -9
- The vertex is : (1, -9)
Finding the y-intercept :
- Substitute x = 0 in the function
- f(0) = 0² - 2(0) - 8
- f(0) = -8
- The y-intercept is : (0, -8)
Answer:
10 yards
Step-by-step explanation:
1 yard is 36 inches. Divide 360 by 36 and you get your answer of 10 yards.
8,15,17 represents
(17)^2=289
(15)^2=225
(8)^2=64
i.e. (17)^2=(15)^2+(8)^2
By converse of Pythagoras theorem
This ∆ is a right angled ∆
Option B gives the correct answer.The step by step solution using the FOIL method of multiplication is given below:
