Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34
1 answer:
The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
<h3>What is triangle inequality theorem?</h3>Triangle inequality theorem of a triangle says that the sum 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,
The sides of first option are, 6,14,and 17.
This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.
Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.
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The table when completed looks like this:
x -2 -1 0 1 2
f(x) 4 2 1 2 4.
We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).
<h3>What is a function?</h3>A function exists as a relation between a dependent variable (f(x)) and an expression of an independent variable (x), utilized to define the value of a dependent variable from a provided value of an independent variable.
We have been given a function,
We have to estimate the value of f(x) when x = {-2, -1, 0, 1, 2}
If the values of x ≤ 0, take f(x) = (1/2)ˣ then
f(-2) = (1/2)⁻² = 2² = 4
f(-1) = (1/2)⁻¹ = 2¹ = 2
f(0) = (1/2)⁰ = 1
If the values of x > 0, take f(x) = 2ˣ then
f(1) = 2¹ = 2
f(2) = 2² = 4
The table exists as follows
x -2 -1 0 1 2
f(x) 4 2 1 2 4.
We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).
To learn more about independent and dependent variable refer to:
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Answer:
The Depth of the lake had increased by 19%.
Step-by-step explanation:
Given:
Depth of lake few months ago = 1300 ft
depth of lake currently = 1547 ft
We need to find the percent of increase in depth of lake.
Solution:
First we will find the increase in depth of lake.
Increase in depth of lake can be calculated by subtracting Depth of lake few months ago from depth of lake currently.
framing in equation form we get;
increase in depth of lake =
Now to find the percent of increase in depth of lake we will divide increase in depth of lake from Depth of lake few months ago and then multiply by 100.
framing in equation form we get;
percent of increase in depth of lake =
Hence the Depth of the lake had increased by 19%.