Answer:
P = 21x + 4
Step-by-step explanation:
The perimeter is the length of all the sides added up.
(3x) + (4x + 1) + (2x - 2) + (2x - 2) + (3x + 1) + (4x + 5) + (3x + 1)
3x + 4x + 1 + 2x - 2 + 2x - 2 + 3x + 1 + 4x + 5 + 3x + 1
21x + 1 - 2 - 2 + 1 + 5 + 1
21x + 4
The equation for the perimeter is
P = 21x + 4
X=2 shown in the work below.
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
Independent Events
Step-by-step explanation:
Given
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
<u>Before selecting the orange jelly:</u>
<u>After selecting the orange jelly:</u>
Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.
