Answer:
yes
Step-by-step explanation:
If the current value of the baseball car is 50 times its original value, its original value will be its current value divided by 50.
Let

represent the current value of the baseball card. We know form our problem that $62 is 50 times the original value,

, of the baseball card, so translating this statement to an equation we get:



We can conclude that the original value of the baseball card was
$1.24.
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
Answer:

Step-by-step explanation:

First, let's remove parentheses:

Simplify, multiply, 4 * -2x = -8x:

** Apply rule: - ( -a )= a

Now, let's regroup terms

Add 12 to both sides:

Simplify, 4 + 12= 16

Divide both sides by 8:


<h2>
________________________</h2>
Yes, it is possible because there are 4 different directions you can travel on a coordinate plane: up, down, left and right. So the answer is (1,9) (1,1) (5,5) and (-3,5)