Answer:
Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify
all logs has base 'e'
Inverse property of log says that
, the value of ln e=1
we apply this property in our problem. ln has same base 'e' . ln and 'e' gets cancelled
Answer:
Length: 40 Width: 76
Step-by-step explanation:
W is width, and L is length.
We know that the length is 36 less than the width, so L = w - 36. Two times the width plus two times the length equals the perimeter, so set up the equation for the perimeter as:
232 = 2w + 2(w-36)
Now solve for w:
232 = 2w + 2w - 72
304 = 4w
w = 76
we now know that the width is 76, so solve for the length:
L= 76-36
L = 40
Answer:
The first story goes to C
The second story goes to B
The last story goes to A
Step-by-step explanation:
Answer:
-5x+8
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is: . So, the slope is 0.
We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3 ⇒ y = 3.
Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.
