Answer:
(7-5i)( 2+3i)
=7(2)+ 7(3i)-5i(2) -(5i)(3i)
= 14 +21i -10i +15
= 29 +11i
To find the answer you first have to turn 4 1/2 a mixed number into an improper fraction. To do this you must multiply the denominator with the whole number to get 8 after add 1 to get 9. to finish off the improper fraction put the 9 as the numerator and keep the denominator of 2. After this you will have 9/2 ÷ 3/4. Remember Keep Change Flip. this means keep 9/2 change the sign from division to multiplication and flip 3/4 to 4/3. After this you will have 9/2 x 3/4. Now multiply the numerators and multiply the denominators. 9x4 is 36 and 2x3 is 6 you now have 36/6. Lucky for you 36 goes into 6, 6 times. So the answer is 6. If you have anymore questions please dont hesitate to ask :) Hope this helps. If you are having trouble look at this link on youtube about dividing fractions. https://www.youtube.com/watch?v=uMz4Hause-o
D = {0,1,-1,2,-2,3,-3,4,-4,...}
<span>E = {1,2,4,9,16,25,36,49,64,81} </span>
<span>F = {12,14,16,18} </span>
<span>Finding an intersection of sets means listing the elements that are in both sets. </span>
<span>Finding a union of sets means listing all elements that are in either set. </span>
<span>With that in mind, </span>
<span>1. D intersect E = E because every element of E is a whole number, so it is in D also. </span>
<span>2. D intersect F = F because every element of F is a whole number, so it is in D also. </span>
<span>3. D intersect (E intersect F) First we find E intersect F = {16} because only 16 appears in E and F. Then, since 16 is also in D, D intersect (E intersect F) = {16} </span>
<span>4. We've already established that D contains everything in E and F. So when we take a union of (E intersect F) with D, we get all of D. </span>
<span>5. E union F = {1,4,9,12,14,16,18,25,36,49,64,81} because these are all the elements that are in either E or F. Intersecting with D doesn't change this list, since all are whole numbers.</span>
