Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show (
+ 
= 
and solve for b. The square root and square cancel each other out, so you get 65 + = 81.
Subtract 65 from both sides to get = 16.
Then take the square root of both sides to get b = 
which equals 4.
Answer:
y = (1/3)x + 1
Step-by-step explanation:
You first find the slope:
(2 - (-1))/(3 - (-6)) =
3/9 =
1/3
This means the equation of the line is y = (1/3)x + b, where b is a real number.
Plug in either of the points to find the value of b:
-1 = (1/3)(-6) + b -->
-1 = -2 +b -->
1 = b
This means the equation is y = (1/3)x + 1
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Answer:
Circumcenter Incenter Centroid
Formed by intersection of Perp. Bisectors Angle bisectors Medians
Type of circle Circumscribed Inscribed No circle
Special property Equidistant from Equidistant from Center of mass
vertices Sides
Answer:
-4
Step-by-step explanation:
The number that is by itself is always the y-intercept
