Let the legs of the triangle be a and b, and the hypotenuse c.
Your first instinct might tell you to use the Pythagorean theorem to go about solving this because
. This works, but it is slow.
The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
Answer:
12.66 
Step-by-step explanation:
Given the dimensions of the room are 
=
and 
=
.
The area of the room =
Area=
Area=72.33
The area of the carpet=85
The area of carpet left= Total area of carpet - the area of the room
The area of carpet left= 85-72.33=12.66
Answer:
10(x-3)
Step-by-step explanation:
Answer:
<h2>Neither Gustavo nor Yuki</h2>
Step-by-step explanation:
It's an arithmetic sequence.
The difference is constant.
The explicit formula of an arithmetic sequence:
Substitute:
<em>use distributive property</em>
Answer:
<em>Yes, this is a linear function because the rate of change is constant</em>
Step-by-step explanation:
<u>Linear Functions</u>
We can recognize a linear relation between variables x and y when they can be represented by a formula like
y=mx+b
Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.
The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is
"Yes, this is a linear function because the rate of change is constant"
