Answer:
x = 0 or x = 1/2 and x = -1 for the second equation
Step-by-step explanation:
Solve for x:
4 x^2 - 2 x = 0
Factor x and constant terms from the left hand side:
2 x (2 x - 1) = 0
Divide both sides by 2:
x (2 x - 1) = 0
Split into two equations:
x = 0 or 2 x - 1 = 0
Add 1 to both sides:
x = 0 or 2 x = 1
Divide both sides by 2:
Answer: x = 0 or x = 1/2
_______________________________
Solve for x:
x^2 + 2 x + 1 = 0
Write the left hand side as a square:
(x + 1)^2 = 0
Take the square root of both sides:
x + 1 = 0
Subtract 1 from both sides:
Answer: x = -1
Answer:
294in²
Step-by-step explanation:
Let the width be x
Perimeter = 2(length+width)
98 = 2(6x + x)
49 = 6x + x
49 = 7x
7 = x
The width is 7 and the length is 7 x 6 = 42
Area = length × width
42 × 7 = 294in²
Andrew is 4 years old
Andrew (4) x 2 = 8 + 4 = 12 (Tom)
Andrew (4) x 5 = 20 - 8 = 12 (Sara)
Answer:
Step-by-step explanation:
if 
, then that means that it is the angle of a right triangle with the hypotenuse equal to 4 and one of the legs (specifically the adjacent leg) equal to 3, since sec(x) is defined as hypotenuse over the adjacent side.
The other leg (specifically the opposite one) will be equal to 
by the pythagorean theorem, so csc(x) = hypotenuse over opposite side = 
.
cot(x) is defined as adjacent over opposite, which is equal to 
That means that the first option, the leftmost one, is correct.
