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4 years ago

Write the number in the form a +bi

Mathematics

1 answer:

Sergeu [11.5K]4 years ago

6 0

$\bf \sqrt{-9}+10\implies \sqrt{-1\cdot 9}+10\implies \sqrt{-1}\cdot \sqrt{9}+10
\\\\\\
\sqrt{-1}\cdot \sqrt{3^2}+10\implies i\cdot 3+10\implies 3i+10\implies \boxed{10+3i}$

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andrew11 [14]

Answer:

126 minutes

Step-by-step explanation:

17.12 - 2 = 15.12

15.12 divided by 0.12 = 126 min

3 0

3 years ago

Read 2 more answers

What price do farmers get for the peach crops? in the third week of June, a random sample of 40 farming regions gave a sample me

prohojiy [21]

Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%

Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)

Answer: The 90% confidence interval is (7.38, 6.38)

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3 years ago

Mr Oneill bought cheese, turkey slices and wheat rolls for $55. The ratio of the amount of money spent on cheese to the amount o

astra-53 [7]

Answer:

Mr. O'neill buy 33 turkey slices.

Step-by-step explanation:

Firstly let us denote amount of money spent on Cheese by the symbol C.

amount of money spent on Turkey by the symbol T.

amount of money spent on Wheat by the symbol W.

Now we are the ratio of amount of money spent on cheese to the amount of money spent on turkey slices as 2:3 ;

We can represent this as $\frac{C}{T}$ = $\frac{2}{3}$

The ratio of the amount of money spent on cheese to the amount of money spent on wheat rolls is 6:5 ;

We can represent this as $\frac{C}{W}$ = $\frac{6}{5}$

Now we will make C also 6 in the first ratio to represent similarity in ratios i.e. $\frac{C}{T}$ = $\frac{2 * 3}{3 * 3}$ = $\frac{6}{9}$

So, the ratio of amount of money spent on cheese to the amount of money spent on turkey slices to the amount of money spent on wheat rolls is represented by 6 : 9 : 5.

To find the amount of money spent on turkey slices = $\frac{9}{6+9+5} * $55$ = $24.75

Since cost of each turkey slice cost = $ 0.75

Therefore, Cost of each turkey slice * Number of turkey slices = Total amount of money spent on turkey slices

$0.75 * Number of turkey slices = $24.75

Therefore, Number of turkey slices that Mr. O'neill buy = $24.75/$0.75

= 33 slices.

4 0

3 years ago

In parallelogram HJKL if JM=19 find ML.

zalisa [80]

Answer:

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

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3 years ago

Four times the square of a certain number increased by 6 times the number equals 108. Find the number

vodomira [7]

-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out

3 0

4 years ago