The measure of the unknown angle should be 110 degrees. the measure of the angles have a sum of 180 degrees. the angles make up a 180 degree angle
All linear functions have in common...
1. Their highest exponent is 1.
2. The graphs of the equations are lines.
When finding things in common between different types of functions, you always have to look at the two sides of math; geometry and algebra. Geometry is all the graphs, and algebra is the equations.
I hope this helps!
Let's call the width of our rectangle
and the length
. We can say
, since the length is equal to 4 cm greater than the width.
Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or
. To solve this problem, we can substitute in the information we know, as shown below:




Now, we can substitute in the width we found into the formula for length, which is
:


The width of our rectangle is
cm and the length of our rectangle is 
Answer a = 5 and b = 2.
Procedure
Initially means x = 0, then
5 = a*b^0 = a*1 = a, then a = 5
When x = 1, the height is the double of 5, i.e 10 and
10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2
The a = 5 and b = 2, so the equation is y =5(2)^x
The best way to approach this problem is to look at the graph of the given function. Replace values of x from 1 to 24 to indicate the numbers of hours in a day. As seen on the graph, there is only one point where the port is at high tide. That would be at 1:00 am.
Looking at the graph, it would be safe for the boats to be in the port when the graph levels off at around 10 to 24. That's from 10 am to before 12 midnight. Then, they would have to stay away between 12 midnight to before 10 am.