Answer:
C.
Step-by-step explanation: the domain is all even integers from 0 to 6 hours
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
<h3>What is the
triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
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Let the number of professors be x.
Hence, number of students = 16x
Professors + students = 17000
x + 16x = 17000
17x = 17000
x = 1000
Thus,
Number of professors = 1000
Number of students = 1000 * 16 = 16000
The polygon can be made as shown below. The length of the diagonal of the polygon is 4 units on the x-axis (Horizontally) and 2 units on the y-axis(vertically).
<h3>What is a polygon?</h3>
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The polygon can be made as shown below. The length of the diagonal of the polygon is 4 units on the x-axis (Horizontally) and 2 units on the y-axis(vertically).
Since translation does not cause a change in the dimensions, therefore, If the polygon translates 3 units to the left and 1 unit down, the length of the diagonal will remain the same, which is If the polygon translates 3 units further to the left and four units down, the length of diagonal will remain the same.
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9^2 subtract the exponents. 9^-5 can't have that so flip the fraction.
----
9^7
1
--- is the answer
9^5