Answer:
C = 6
D = 10
Step-by-step explanation:
C + 5 = 11
C + 5 -5 = 11 -5
C = 6
D + 4 = 14
D + 4 -4 = 14 -4
D = 10
Answer:
angles 5,6 are supplementary
angles 7 and 4 are vertical angles
(one solution of many)
Step-by-step explanation:
Lets start with supplementary angles. those are two angles that add up to 180 degrees or make a straight angle. Two angles that fulfill this statement are 5 and 6 because 5 and 6 make a straight angle.
Now lets do vertical angles. Vertical angles are angles that are opposite of each. They are made by intersecting diagonals. One pair of angles that fulfill this are angles 7 and 4. if you can tell, they are opposite of each other.
supplementary= 5 and 6
vertical= 7 and 4
have a wonderful day!
Slope formula;
m = y2 - y1/ x2 - x1 point(x, y) = (4, 1), (7, -2)
m = -2 - 1/ 7 - 4
m = -3/3
m = -1
the slope is -1.
hope this helps, God bless!
The slope of the tangent line to the curve at (8, 2) is given by the derivative 
at that point. By the chain rule,
Differentiate the given parametric equations with respect to 
:
Then
We have 
and 
when 
, so the slope at the given point is 
.
The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation
Alternatively, we can eliminate the parameter and express 
explicitly in terms of 
:
Then the slope of the tangent line is
At 
, the slope is again 
, so the normal has slope +4, and so on.
Answer:
5 + i
Step-by-step explanation:
The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.
Now, in our case (5 - i) is a root of a polynomial.
The complex number (5 - i) has conjugate and it is (5 + i).
Therefore, (5 + i) will also be a root of the same polynomial. (Answer)
