Write the expression as a complex number in standard form. 20 + (-23 -8i) +7i Here are the answers that are an option

3 + 7i

-3 - i

-3 - 15i

3 + 15i

Answers

Answer 1

Answer: $20 + (-23 -8i) +7i =-3-i$

Answer 2

Answer: 20+(-23-8i)+7i=20-23-8i+7i=-3-iso B option is correct: -3-i

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(2x-20)(5x+10) help pls
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Find the constant of variation k for the direct variation 2x +6y = 0

Answers

A relationship between two variables in which one is a constant multiple of the other. The constant here is also called the constant of variation. In order to obtain this value, we manipulate the equation by isolating the variables. We do as follows:

2x +6y = 0
y = -x/3

Therefore, the constant of variation is -1/3. Hope this answers the question. Have a nice day.

when i was 2 years old my sister was half in my age now i am 100 years old then how old is my sister?

Answers

When I was 2 years old, my sister was 1/2 my age ==> she was 1 ==> she will
always be 1 year younger than I am, and she will never be able to catch up to me.

Now I am 100, so my sister must be 99 .

Optimization-Of all rectangles with a perimeter of 10, which one has the maximum area? (Give dimensions)

Answers

Do you want a proof or just the answer?
The answer is: the square (2.5x2.5).

Log3 1/9=x/9 ? math is the worst

Answers

$log_3( (1)/(9) )= (x)/(9) \n\nlog_33^(-2)= (x)/(9) \n\n-2=(x)/(9) \ /\cdot9\n\n-18=x\n\nx=-18$

$log_3((1)/(9))=(x)/(9)\n \n log_33^(-2)=(x)/(9)\n \n 3^{(x)/(9)}=3^(-2)\n \n (x)/(9)=-2\n \n \boxed{x=-18}$

The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Answers

lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

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X + 1.5x - 0.75 = 73

what is the value of x?