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Gekata [30.6K]
3 years ago
11

Simplify the expression show your work

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0
Answer:
It looks like ur doing complex conjugates sooooo the answer is 21 - 12i

They way you show work is

(3-4i)(1+5i) - (2-i) <—— use foil method on first 2 parentheses

= 3 + 11i - 20i ^2 - 2 + i ( remember i^2 = -1)

= 3 + 11i + 20 -2 + i

= 21 + 12i

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Maria made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muffi
Marat540 [252]

Answer: $17.50.

Step-by-step explanation;

If each muffin cost her $0.25 to make and she spent $8.75 making all muffins, then you can divide this amount to find out how many muffins she made (8.75/0.25), this is 35 muffins. If she sold each muffin for $0.50, multiply the number of muffins (35) by their price ($0.50), this is $17.50. Therefore, <em>Maria received $17.50 from selling her muffins</em>.

7 0
3 years ago
Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution?
kozerog [31]
I think the answer is D.
6 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.
Anna007 [38]

Answer:

-  \frac{5}{2}

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

y =  \frac{2}{5} x - 4

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

=  - 1 \div  \frac{2}{5}

=  - 1 \times  \frac{5}{2}

=  -  \frac{5}{2}

5 0
3 years ago
1. An atom consist of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a cha
ruslelena [56]

Answer:

I) no charge

ii) it will be positively charged

iiI) it will be negatively charged

Step-by-step explanation:

An atom is composed of electrons, neutrons and protons. Electrons are negatively charged while protons are positively charged. The number of electrons and protons in a neutral atom are exactly the same. This ensures the electrical neutrality of the atom.

However, if an atom looses an electron, there are now more protons than electrons present in the atom hence the atom is positively charged.

Similarly, if an atom gains an electron, it now contains more electrons than protons, hence it is negatively charged.

5 0
3 years ago
The student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student m
OverLord2011 [107]

Answer:

the correct answer should be -2.65

Step-by-step explanation:

the mistake is dividing 17y by 15 instead of 17

7 0
3 years ago
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