3 times 3 times 3 times 3 equals 81 so it would be 81
Answer:
1. (-4,0) and (-2,0)
2. (2,0)
3. (2,0)
4. (-6,0), (-2,0), (2,0), and (6,0)
Step-by-step explanation:
The x-intercepts are the points in which the line crosses the x-axis. Another word for this are the zeroes, because y=0 would be right on the x-axis, and finding the zeroes would be finding the points that cross y=0. Notice how the points listen on the answer are right on the x-axis of each graph; they intercept the x-axis.
The given set is {-1,0,1,2,3,4,5}
(notice the -2 and 6 are excluded)
the subset which contain positive factors of 5 is {1,5}
so the complement set would be
{-1,0,2,3,4) which matches with b)
Answer:
Perimeter = 32.3
Area = 95.24
Step-by-step explanation:
Given:
△ABC, m∠A=60°
m∠C=45°, AB = 9
To find:
Perimeter of △ABC
Area of △ABC
Solution:
Using angle sum property in a triangle:
m∠A + m∠B + m∠C = 180°
m∠B = 180° - 45° - 60° = 75°
As per Sine Rule:

Where
is the side opposite to 
is the side opposite to 
is the side opposite to 


Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>
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Area of a triangle is given as:


The answer should be 6 I.e 6^1 as with indices rules you need to subtract the powers (-3-(-4)) which equals 1