Answer:
11 and -11
Step-by-step explanation:
This problem can really only be solved either by way of a calculator or simple memorization. In this case, the product (121) is a perfect square root, meaning it has a whole number answer. One square root of 121 is 11. The second square root of 121 is -11.
You can check your work by squaring your answer and seeing whether it equals the product. Remember, a negative number times another negative number results in a positive answer.
Since you have y alone on one side of the equation......
Use substitution and plug in 1/2x-4 for y in the other equation.
Distribute
Combine like terms
Add 8 to both sides
Divide by 4
and
Plug this value in for x
Simplify
Multiply everything by 8 and simplify
Divide.....
Your answers are:
Answer:
Step-by-step explanation:
Answer:The side opposite to the obtuse angle in a obtuse triangle is the largest side of that triangle.
Step-by-step explanation:
- The obtuse angle is an angle that is more than 90° and less than 180°.
- Any triangle cannot have two angles equal to or more than 90° .
So if a triangle has an obtuse angle then it will be the only obtuse angle in the triangle, rest of the other two angles must be smaller than that.
Also, we know that the side opposite to the lager angle is larger.
Therefore, the side opposite to the obtuse angle in a obtuse triangle is the largest side of that triangle.
Answer:
a
b
tex]C(10)' = \$60 / feet[/tex]
c
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is
The cost of shipping is
The current length of the square bathroom is x = 10 ft
The new length is
Generally the equation representing the cost of the square tile is mathematically represented as
Generally the average rate of change of cost is mathematically represented as
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
=>
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
=>
So
=>
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
=>
Generally given that the new cost function is
Now the instantaneous rate of change of cost will now be
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
=>