Answer:
(4+7i)-2i(2+3i) = 10+3i
Step-by-step explanation:
We need to find the expression that is equivalent to the complex number 10+3i.
Option 1. 2i(4-5i)+(1-7i)
=8i-10i²+1-7i
∵ i² = -1
=8i-10(-1)+1-7i
=8i+10+1-7i
=11+i (incorrect)
Option 2. (4+7i)-2i(2+3i)
=4+7i-4i-6i²
=4+7i-4i-6(-1)
=4+7i-4i+6
=10+3i (Correct)
Option 3. (-3+5i)-3i(4+5i)
= (-3+5i)-12i-15i²
= -3+5i-12i-15(-1)
= -3+5i-12i+15
=12-7i (incorrect)
Option 4. 3i(4+7i)+(11+2i)
= 12i+21i²+11+2i
=12i+21(-1)+11+2i
= 12i-21+11+2i
=14i-10 (incorrect)
Hence, the correct option is (B).
Answer:
46-3i
Step-by-step explanation:
Answer:
<em>d) The equation of the standard parabola</em>
<em> x² = 6 y</em>
Step-by-step explanation:
The given directrix is y= -31.5
The equation of the parabola is of the form x² =4 a y
Given focus (0,1.5) , Here a= 1.5
The equation of the standard parabola
x² = 4 a y
x² = 4 (1.5)y
x² = 6 y
<u><em>Conclusion</em></u>:-
<em>The equation of the standard parabola</em>
<em> x² = 6 y</em>
Answer:
18734
Step-by-step explanation:
mark brainliest please:)
Answer:
Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
Step-by-step explanation:
