Answer:
16
Step-by-step explanation:
<u>Remember that
</u>
(-2i)(8i)


16
Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Let's first solve for y by choosing any equation.</u>
- 4x + y = 14
- => y = 14 - 4x
<u>Now, let's substitute the value of y into the second equation.</u>
- 6x - 3y = 3
- => 6x - 3(14 - 4x) = 3
- => 6x - 42 + 12x = 3
- => 18x - 42 = 3
- => 18x = 42 + 3
- => 18x = 45
- => x = 45/18 = 5/2 = 2.5
<u>Now, let's substitute the value of x into the equation of y.</u>
- => 14 - 4x = y
- => 14 - 4(2.5) = y
- => 14 - 10 = y
- => y = 4
Hence, the value of x and y are 2.5 and 4 respectively.
Answer:
A: 
B: 
Step-by-step explanation:
<u>A:</u>
Our expression is
. We need to find some common factors. Clearly, we can see that both terms share the x² part, so we can definitely take that out:


Let's see if 96 is divisible by 6:
96 ÷ 6 = 16; since there's no remainder / the remainder is 0, we know 96 is divisible by 6, so we can also factor out 6:


Thus, the answer to part A is
.
<u>B:</u>
Look at the
part of the above factored expression. Notice that it is a difference of squares (because
and 16 = 4²), so we can write this as:


Now take a look at the
part. Again, it's a difference of squares because
and 4 = 2², so rewrite that as:


Put it all together:

Thus, the answer to part B is
.
Answer:
b=14
d=10
Step-by-step explanation:
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