1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firdavs [7]
3 years ago
11

Donte simplified the expression below.

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0
Based on the given solution above made by Donte, the mistake that he made is that h<span>e did not apply the distributive property correctly for 4(1 + 3i). The answer is option A. Here is why. If we simplify this, it would look like this:
</span><span>4(1 + 3i) – (8 – 5i) 
4+12i - 8 + 5i
17i-4
so, </span>4(1 + 3i) – (8 – 5i) should be equal to 17i - 4. 
Hope this is the answer that you are looking for. Have a great day!
sergij07 [2.7K]3 years ago
6 0
The answer is: [A]: He did not apply the distributive property correctly for                                        4(1 + 3i) .
_____________________________________________
Explanation:
______________________
Note the distributive property of multiplication:
_____________________________
a*(b+c) = ab + ac.
____________________________
As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
_____________________________________
Instead, Donte somehow incorrectly calculated:
_____________________________________
4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);

Note:  - (8 - 5i) = -8 + 5i (done correctly; 
___________________________________
So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
_____________________________
4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
__________________
This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
___________________________</span>
You might be interested in
Solve for x. 1/4+1/2+x=−3/4<br><br> Please Hurry!
seraphim [82]

Answer:

If you want it solved to exact form which im assuming you do the answer is x= -3/2

But if you want decimal form it is x= -1.5 and the mixed number form is x= -1 1/2

Tip for the future if you have questions like this use Math-way  its a website. Its an algebra calculator and it works wonders. :)

Step-by-step explanation:

4 0
3 years ago
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probabili
Aleksandr [31]

Answer:

19.75%

Step-by-step explanation:

Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).

2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%

Therefore the probability would be 16/81 or 0.1975 or 19.75%

3 0
2 years ago
a pool in the shape of rectangle has a perimeter of 80 feet. The pool is 8 Feet less wide than its long. Find the length and wid
Aneli [31]
Hello!

To solve this, lets put it into a system of equations where w=width and L=length.
2w+2L=80
L-8=w

To solve, we see that w=L-8. We can substitute this in the first equation to find L and then w.

2(L-8)+2L=80
2L-16+2L=80
4L-16+80
4L-16=80
4L=96
L=24

Now that we know L=24, we can find w. 24-8=16. Now we know that L=24 and w=16.

Lets check our answer. In our original system of equations, we have 48+32=80, which is true, and 24-8=16. Also, the perimeter must equal 80. 16+16+24+24=80.

As our final answer, the width of the pool is 16 feet, and the length is 24 feet.

Hope this helps!

5 0
3 years ago
Which statement is true about the expression 4ab+2a−1?
Valentin [98]

Answer:

<h2>Make the points more Appealing</h2>

Step-by-step explanation:

B. The expression has 4 factors and 0 constants.

The factors separately are:

4

a

b

(c+3)

Factors are numbers or expressions that produce a givens product.

Looking at the expression we can rewrite it as:

4 x a x b x (c+3)

The overall value with be the product of all the factors.

8 0
2 years ago
Read 2 more answers
A model of a car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of t
Lubov Fominskaja [6]
So basically 3cm is the model and 2 m is the actual size. So the hood is 1m so it is half of 2m which means the answer to the question is 1.5cm
6 0
3 years ago
Other questions:
  • The dimensions of Sara's apartment are22 1/2 feet by 25 feet. In the scale drawing below,1 1/2 inches is equivalent to 15 feet.
    10·1 answer
  • Which strategies can be used to solve this problem?
    13·1 answer
  • The average person drinks 1 pint of milk a day. At this rate, how many gallons will a person drink in a leap year
    12·2 answers
  • A dress that costs x dollars is on sale for 30% off. Write an expression to represent the sale price, in dollars, of the dress.
    15·1 answer
  • Please help ASAP !!!??
    14·1 answer
  • Please help me with the question
    14·1 answer
  • Find the equation of the axis of symmetry of the following parabola algebraically.
    11·1 answer
  • Dr. Rodriguez earns an annual salary of $204,000. If social security tax is 6% of your income, then how much will Dr. Rodriguez
    15·1 answer
  • B<br> X+2<br> 3<br> D<br> E<br> х<br> 2<br> С C<br> A<br> x = [?]
    8·1 answer
  • (1, 72), (3,66), (5, 53), (7, 40), (9, 34)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!