Answer:
Step-by-step explanation:
This is a matrices. Since they are both the same in format, we can add them together. But first we must multiply each value by the given values.
1.
+
=
Hope this helps! (Please consider giving brainliest)
Answer: Domain (-∞,∞) ; range: (0,∞)
Step-by-step explanation:
1. The exponential functions with the form has domain of all real numbers, becaure there is no values in the set of real number for which the value of
is not define. When
approches to ∞, the function approches to ∞.
2. When approches to -∞, the function approches to 0 but never touches it. This means that
is always greater than zero (
). Therefore, the range of the function is (0,∞).
Answer:
28 inches
Step-by-step explanation:
The point of intersection of the angle bisectors is the <em>incenter</em>. It is the center of a circle tangent to the three sides of the triangle. The circle has radius 2.
In the attached figure, we have labeled the points of tangency D, E, and F. We know that CE and CF are both of length 2, and we know that the points of tangency are the same distance from an external point where the tangents intersect. That means DA = FA and DB = EB.
The perimeter of the triangle is ...
P = DA +DB +FA +EB +CF +CE
Using the above relations, this can be written as ...
P = DA +DB +DA +DB +CF +CE = 2(DA +DB) +2(CE)
We are told that AB is 12 inches, so DA +DB = 12 inches. We also know that CE = 2 inches, so the perimeter is ...
P = 2(12 in) + 2(2 in) = 28 in
The perimeter of triangle ABC is 28 inches.
