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:
6ab
Step-by-step explanation:
3*2*a*b=6*ab=6ab
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Have a nice day.
Answer:
x = 4/5
Step-by-step explanation:
The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis. If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:
(4/5)x + (1/3)(0) =1
Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).
Thus, x = 4/5, and the x-intercept is (4/5, 0).
Answer:
Do you have answer choices
Step-by-step explanation:
Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.
