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Ratling [72]
2 years ago
6

Simplify the expression -17.8a-2.4a+25-19.5

Mathematics
1 answer:
Anika [276]2 years ago
6 0

Answer:

-20.2a+5.5

subtract the values with a in it and the ones without the a together.

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A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes
Rufina [12.5K]

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 =22+7i.

Step-by-step explanation:

The given expression is

(4+5i)(3-2i)

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.

(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i

Which is not correct. The correct steps are shown below.

Using distributive property, we get

4(3-2i)+5i(3-2i)

4(3)+4(-2i)+5i(3)+5i(-2i)

12-8i+15i-10i^2

12+7i-10(-1)       [\because i^2=-1]

12+7i+10

22+7i

Therefore, the correct value of (4+5i)(3-2i) is 22+7i.

4 0
3 years ago
3+5i/-2+3i perform operation
melisa1 [442]

Answer:

\dfrac{9}{13}-\dfrac{19}{13}i

Step-by-step explanation:

Remember i^2=-1

You are given the fraction \dfrac{3+5i}{-2+3i}

First, multiply the numerator and the denominator by -2-3i:

\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}

This gives you 13 in denominator, now multiply two complex numbers in numerator:

(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i

Thus, the initial fraction is

\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i

4 0
3 years ago
working together 9 friends pick up 23 2/5 bags of apples and an orchard they divide the bags of apples equally between them how
Citrus2011 [14]
Simply divide 23 and 2/5 bags of apples between 9 friends:

23 and 2/5 bags ÷ 9 friends= 117/5 bags ÷ 9 friends
                                              =  13/5 bags
                                              = 2 and 3/5 bags

Therefore, each friend receives 2 and 3/5 bags of apples.

Hope this helps!
5 0
3 years ago
10 1/8 +2 1/4<br> Show work please<br> and no links
omeli [17]

Step-by-step explanation:

Please refer to the attachment

4 0
3 years ago
What’s the inverse of 2(x-2)^2 = 8(7+y)
Anettt [7]

Answer:

y= (x-2)^2/4-7

Step-by-step explanation:

5 0
3 years ago
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