Find the first perfect square that is larger than 12864. We can do this by taking the square root of 12864 finding the ceiling of that result and squaring it
which is
12996
Now find the difference between the next largest perfect square and the original number:
12996-12864
132
So 132 is the integer that needs to be added to 12864 to make it a perfect square.
Check:
Take the square root of 12864+132:
%:12864+132
114
So it’s a perfect square.
Answer:
Explain better please i will awnser
All Triangles are equilateral ( each side = 4)
Area of a Triangle is (B x H)/2. B being the base ( 4) & H the altitude.
WE know that altitude in an equilateral triangle, H = ( side x√3)/2
So H= (4√3)/2 = 2√3
The area of one triangle = (4 x 2√3)/2 = 4√3
And for the 3 triangles the lateral area = (4√3) x 3 = 12√3
Question 1:
For that point where all the lines intersect to be an incenter, the following must be true
4x - 1 = 6x - 5
Subtract both sides by 6x
-2x -1 = -5
Add both sides by 1
-2x = -4
Divide both sides by -2
x= 2
Question 2:
Plug in x=2 into any of the two equations.
You get 7.
Have an awesome day! :)
Answer: 
<u>Step-by-step explanation:</u>
Given: cos x = 
, x is in Quadrant 4
Use Pythagorean Theorem to find sin x:
8² + y² = 17²
y² = 17² - 8²
y² = 289 - 64
y² = 225
y = 15
→ sin x = 
Use the double angle formula to find cos (2x):
