Answer:
f(x) = 2^x
ln f(x) = ln 2^x
ln f(x) = x ln 2
Step-by-step explanation:
Answer:
8 × 1.25= 10, 28 × 1.25=35
Answer:
x - 2y = 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y = 6 ( subtract x from both sides )
- 2y = - x + 6 ( divide both sides by - 2 )
y =
x - 3 ← in slope- intercept form
with slope m = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 6, - 8) into the partial equation
- 8 = - 3 + c ⇒ c = - 8 + 3 = - 5
y =
x - 5 ← in slope- intercept form
Multiply through by 2
2y = x - 10 ( subtract 2y from both sides )
0 = x - 2y - 10 ( add 10 to both sides )
10 = x - 2y, that is
x - 2y = 10 ← in standard form
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60