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Leya [2.2K]
1 year ago
12

Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte

make? he did not apply the distributive property correctly for 4(1 3i). he did not distribute the subtraction sign correctly for 8 – 5i. he added the real number and coefficient of i in 4(1 3i). he added the two complex numbers instead of subtracted.
Mathematics
1 answer:
SCORPION-xisa [38]1 year ago
5 0

Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 4(1 + 3i) – (8 – 5i)

= 4 + 12i - 8 + 5i  

He did not distribute the subtraction sign correctly for 8 – 5i.

= -4 + 17i

Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

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amm1812
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7 0
3 years ago
The radius of a semicircle is 3 feet. What is the semicircle's area?<br>Use 3.14 for Pi​
valentinak56 [21]

Answer:

14.13 ft²

Step-by-step explanation:

The area of a semicircle is

=  \frac{\pi \:  {r}^{2} }{2}

We were given the radius of the semicircle to be: r=3 feet.

We were also asked to use π as 3.14.

We substitute into the formula to get:

=  \frac{3.14 \times  {3}^{2} }{2}

This is the same as:

=  \frac{3.14 \times  9}{2}

Or

= 3.14 \times  4.5

= 14 .13 {ft}^{2}

The area of the semicircle is 14.13 ft²

5 0
3 years ago
Cone B is the image of cone A after dilation by a scale factor of \frac{1}{2}
Bogdan [553]

The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Cone B is the image of cone A after dilation by a scale factor of 1/2, hence:

Surface area of cone B = 40 km² * (1/2)² = 10 km²

The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
Solve 4(x - 3) - 2x - 1) &gt; 0​
fgiga [73]

Answer:

x > 5.5

Step-by-step explanation:

4(x - 3) - (2x - 1) > 0

4x - 12 - 2x + 1 > 0

4x - 2x - 11 > 0

2x - 11 > 0

2x - 11 + 11 > 0 + 11

2x > 11

2x ÷ 2 > 11 ÷ 2

x > 5.5

6 0
3 years ago
Read 2 more answers
(4, -9) is it a solution yes or no ? <br>​
ehidna [41]

Answer:

Yes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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