Answer:
A. B and C are functions
Step-by-step explanation:
Given
See attachment for mapping diagrams
Required
Which represent function
For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.
Base on the above analysis, we have:
<u>Map A</u>
1 points to 6; 2 to 7; 3 to 8; and 4 to 9
<em>This is a function</em>
<u>Map B</u>
2 points to 0; 4 to 0; 6 to 0; and 8 to 0
<em>This is a function</em>
<u></u>
<u>Map C</u>
1 points to 8; 3 to 8; 5 to 9; and 7 to 9
<em>This is a function</em>
<u>Map D</u>
0 points to 2 and 5; 3 points 7 and 9
<em>This is not a function</em>
Answer:
Step-by-step explanation:
4unity to the left
3unity down
The answer to this question is 8
Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
