Multiplying and dividing with conjugate of 2+i in the given expression, we get(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi<span>Thus a=2</span>
Answer:
D
Step-by-step explanation:
The boxes with whole numbers in them written as coordinates:
(-4, -11)
(8, -8)
we know gradient is rise over run, or (y2 - y1) / (x2 - x1)
gradient = (-8 - -11) / (8 - -4)
gradient = 3 / 12
gradient = ¼
Answer:
The graph will open to the right and will be mostly in quadrant 1
Step-by-step explanation:
Answer:
The answer is -1/2
Step-by-step explanation:
We first start by removing x in order isolate the y variable
2y = 6 - x
y = 
Further, we simplify the equation in order to get the value of m (slope)
y = 3 + 
Therefore, our slope is equivalent to -1/2
Answer:
D. obtuse isosceles
Step-by-step explanation:
An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle). It is not possible to draw a triangle with more than one obtuse angle. Note: It is possible for an obtuse triangle to also be scalene or isosceles. An equiangular triangle has three congruent angles.
