See photos for solutions and steps :)
X=4 ........................................
when multiplying two binomials together we use the F.O.I.L. method:
First
Outer
Inner
Last
(7-3i)(2-i)
First: 7 * 2 ..... Outter: 7 * -i .... Inner: -3i * 2 ...... Last: -3i * -i
First: 14 ...... Outter= -7i ..... Inner: -6i .... Last: 3i^2
putting this together we get 14-7i-6i+2i^2
We combine like terms and end up with 2i^2-13i+14
“Square five times a number” with “a number” being x is the same as saying:
5x²
“three more than the number” is the same as saying:
3 + x
Therefore the sentence “When you square five times a number, you get three more than the number.” is the same as:
5x² = 3 + x
Hope this helps, have a great day! :)
Option 1. 9.42×3 in² is the correct option.
Step-by-step explanation:
As it has been given in the question that Kyra has arranged the circle sectors in the shape of a parallelogram.
Side of a parallelogram = 9.42 in. and height of this parallelogram is 3 in.
Now we know the formula of the area of a parallelogram = length × height
Area = 9.42 × 3 in².
So the area of this arrangement of the sectors = 9.42×3 in².