Answer:
It got colder Because some nights it gets colder?
Answer:
The domain is all real numbers except the number zero
Step-by-step explanation:
we have


we know that

Remember that
The denominator cannot be equal to zero
so
The domain is all real numbers except the number zero
In Interval notation the domain is
(-∞,0) ∪ (0,∞)
The perpendicular line would have a slope of A) -3/2.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (2/3) and change the sign (-2/3).
To do the reciprocal, take the slope we changed (-2/3) and flip it as a fraction (-3/2).
This gives us a new slope of -3/2.
Answer:
<em>Both equal sides have a length of 29 cm.</em>
<em>The third inequal side is 9 cm.</em>
Step-by-step explanation:
<u>System of Equations</u>
With the data provided in the problem, we can form a system of two equations with two unknowns.
Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:

We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:


Let's put together both equations:


To solve the system, we can use the x from the first equation and replace it into the second equation:

Operating:

Joining like terms:

Solving for y:

The third inequal side is 9 cm. Now find the value of x.

Both equal sides have a length of 29 cm.