Answer:
14-5i
Step-by-step explanation:
Distribute using FOIL
12+3i-8i-2i^2
i^2 = -1
12+3i-8i-2(-1)
12+3i-8i+2
Combine like terms
14-5i
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
Answer:
Louise is 16
Todd is 18
Step-by-step explanation:
Answer:
(a)4
Step-by-step explanation:
First you would distribute the 2 within the parentheses and it becomes 14n-46 <= 14-16n. Then you would find the smallest coeficent and do the inverse operation so you would have to add 16n to 14n and get 30n. Your equation is now 30n-46<=14. Now you want to isolate the variable by doing the inverse operation of -46. You would then add 46 to positive 14 and get 60. Your eqaution now is 30n<=60. Your last step is to divide 30 on each side which leaves you with n<=2.
2 is less than or equal to 2
-2 is less than or equal to 2
-4 is less than or equal to 2
4 is NOT less than or equal to 2 it is GREATER
Hopefully, that helps.
