3.4^2-2.2^2×4.6-3.5×10.5 would be the simplified expression.
Note that ^ is an exponential sign.
Hope it helped,
Happy homework!
Answer:
A.
= 8i
B. 8i + 5i = 13i
C. 8i - 5i = 3i
D. 8i x 5i = -40
Step-by-step explanation:
A. The square root of any negative number would lead to a complex number. Complex numbers are number which consist a complex part denoted by i.
-1 = 
=
= i
Example: 1. What is the square root of -64?
square root of -64 = 
= 
=
x 
= i x 8
= 8i
= 8i
2. find the square root of -25.
= 
= 5i
B. To add two complex numbers, they are considered as algebraic expressions.
Example, the sum of 8i and 5i can be determined as;
8i + 5i = 13i
C. To add two complex numbers, they are considered as algebraic expressions.
Example, the subtraction of 8i and 5i can be determined as;
8i - 5i = 3i
D. To multiply two complex numbers, the complex part is considered.
Example, determine the product of 8i and 5i.
8i x 5i = 8 x 5 x i x i
= 40
= -40 (∵
= -1)
8i x 5i = -40
Answer:
Ok, we have the equation:
-7 + (-3)
Both numbers are negative, so the solution of this will be:
-7 + (-3) = -7 - 3 = -10.
Now, how we can represent it with tiles?
First we need to define, which tiles are the ones representing negative numbers?
We can use:
Red = positive
Blue = negative.
Then:
-7 is represented with seven blue tiles
-3 is represented with tree blue tiles
then:
(-7) + (-3)
will be represented with seven blue tiles, plus tree blue tiles.
When we add them, we have a total of 10 blue tiles, and as blue tiles represent negative numbers, 10 blue tiles is equal to -10.