Answer:
1. (1, 2)
2. (-5, 7)
3. (-6, -5)
4. (0, -3)
Step-by-step explanation:
(1 - 4) Explanation:
If we're asked to move to the right, make the x-coordinate a positive number.
If we're asked to move to the left, make the x-coordinate a negative number.
If we're asked to move upwards, make the y-coordinate a positive number.
If we're asked to move downwards, make the y-coordinate a negative number.
Assume the diagonal line is "d", the rectangle width "w" and the length "l"
d^2 = w^2 + l^2
d^2 = 12^2 + 16^2
d^2 = 144 + 256 = 400
d =√400=20 inches
Answer:
6
Step-by-step explanation:
Unknown number = x
So,
x - 4 = 2 (add 4 to both sides)
x - 4 + 4 = 2 + 4
x = 6
Answer:
3, 230, 000, 000, 000
Explanations:
10^12 = 1, 000, 000, 000, 000,
So...
3.23 * 10^12 = 3, 230, 000, 000, 000
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
