Answer:
Step-by-step explanation:
5.
point = (x, y)
A = (
, 12)
B = (
, 20)
C = (3, 24)
D = (
, 28)
y/x ratios
24/3
6.
(1 2/3, 3 1/3) = 3 1/3 ÷ 1 2/3 = 2
(1 1/4, 2 1/2) = 2 1/2 ÷ 1 1/4 = 2
(3, 7) = 7 ÷ 3 = 2 1/3
(4 1/2, 9) = 9 ÷ 4 1/2 = 2
The ratio 7/3 (x = 3 and y = 7) is not proportionally related to the others.
The other ratios are equal to each other and are therefore in proportion.
7. yes
Check the picture below, you can pretty much count the units off the grid for the length and width.
recall area = length * width.
Answer Standard form
Step-by-step explanation:
Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
