Answer:
The graph on the far right
Step-by-step explanation:
The negative in front of the absolute value indicates that the parent function |x| has been reflected over the x-axis and points downwards. The negative 2 being added to this portion shows that there has been a vertical shift of two units downwards as well. Therefore, the graph on the far right is the correct graph.
The answer is C since the 1 in the square root is a horizontal shift to the left by one and a vertical shift up by 7
Lets x = width
length = x + 4 (4 meters longer than wide)
A = L * W
192 = x ( x +4)
192 = x^2 + 4x
x^2 + 4x - 192 = 0
(x +16)(x-12) = 0
x - 12 = 0, x = 12
x + 16 = 0, x = -16
so width x = 12
length = 12 + 4 = 16 (4 meters longer than wide)
answer. J
16
Answer:
42 square centimeters
Step-by-step explanation:
The total of sides FA and AB will be half the perimeter of the rectangle, or 14 cm. Since AB is 9 cm, that means FA is 5 cm.
EF is the difference between EF and FA, so is 11 cm -5 cm = 6 cm.
FC is the same 9 cm length as AB, so we have enough information about the trapezoid to use the area formula:
A = (1/2)(b1 +b2)h
A = (1/2)(9 cm +5 cm)(6 cm) = 42 cm^2
The area of the trapezium is 42 cm^2.
((-4)^5)^8 / ((-4)^7)^3
= (-4)^40 / (-4)^21
= (-4)^20
