Answer:
x = 2 x = -6
Step-by-step explanation:
2 (x+2) ^2-4=28
Add 4 to each side
2 (x+2) ^2-4+4=28+4
2 (x+2) ^2= 32
Divide by 2
2/2 (x+2) ^2=32/2
(x+2)^2 = 16
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 16)
x+2 = ±4
Subtract 2 from each side
x+2-2 = -2±4
x = -2±4
x = -2+4 and x = -2-4
x = 2 x = -6
Yes
For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one
This is the case here as each value of x maps to one unique value in the range
domain x ∈ {- 5, - 4, 0, 3 }
range y ∈ {0, 2, 10, 16 }
The length and width can 6 and 2 or 3 and 4.
example: 3x4=12
6x2=12
Answer:
sin A = 13/85
Step-by-step explanation:
Opposite Angle A is side BC, of length 13. The length of the hypotenuse is 85. The sine function is defined as the ratio opp/hyp. In this problem that ratio is
opp
------ = sin A = 13/85
hyp
We use the inverse sine function arcsin x to determine Angle A:
A = arcsin 13/85 = 8.8 degrees
diagonal is sqrt of (s^2 x 2)
8^2 = 64
64*2 = 128
sqrt(128) = 11.3137
round answer as needed