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:
1. T =34
2.143 =exterior A
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
T+H+E =180
T + 107+39 = 180
Combine like terms
T +146 = 180
Subtract 146 from each side
T +146-146 = 180-146
T =34
The exterior angle is the sum of the opposite interior angles in a triangle.
B+T =exterior A
66 +77 = exterior A
143 =exterior A
.48 is equal to 48/100=12/25 so
28 12/25
Answer: 61,750 miles
Step-by-step explanation:
Given : The p-value of the tires to outlast the warranty = 0.96
The probability that corresponds to 0.96 from a Normal distribution table is 1.75.
Mean : 
Standard deviation : 
The formula for z-score is given by : -

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.
Answer:
• y = -6x-5
Step-by-step explanation: