Answer:
1. In the multiplication of the imaginary parts, the student forgot to square of i. OR
2. The student has only multiplied the real parts and the imaginary parts.
Correct value
.
Step-by-step explanation:
The given expression is

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.
Student's mistake can be either 1 or second:
1. In the multiplication of the imaginary parts, the student forgot to square of i.
2. The student has only multiplied the real parts and the imaginary parts.

Which is not correct. The correct steps are shown below.
Using distributive property, we get



![[\because i^2=-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20i%5E2%3D-1%5D)


Therefore, the correct value of
is
.
Answer:
What do you mean by the nature of the solution?? Do you want us to solve for q? q = 1/2
Step-by-step explanation:
q = 1/2
Make them both improper fractions.
77/10 - 19/5
Give them common denominators (multiply the second fraction by 2)
77/10 - 38/10
Subtract
39/10 = 3 9/10
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer:
5cm
Step-by-step explanation: