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Kryger [21]
3 years ago
14

Find the product of (x + 9i)^2 Find the product of (x+(3+5i))^2

Mathematics
1 answer:
Ket [755]3 years ago
3 0
Remember that
i =  \sqrt{1}
so
{i}^{2}  =  - 1  \:  \: and \:  \: {i}^{3} =  - i \:  \:  \: and  \:  \:  {i}^{4}  = 1
(a+ b)^2 = a^2 + 2ab + b^2

1. x^2 + 2x*9i + (9i)^2 = x^2 + 18xi - 81

2. x^2 + 2x*(3+5i)+ (3+5i)^2 = x^2 + 6x + 10xi+ 9+30i-25 = x^2 - 16 + 30i + 6x + 10xi
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Step-by-step explanation:

Average rate equals the negative of delta concentration of reactants

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Identify the graph of (x+3)^2 - 4y for T(-7,2) and write and equation of the translated or rotated graph in general form.
Firlakuza [10]

Answer:

Step-by-step explanation:

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4 0
3 years ago
HELP IM ON A TIME LIMIT AND IDK THE ANSWER
aleksandrvk [35]

Answer:

Check step-by-step explanation

Step-by-step explanation:

A = \frac{1}{2} d_{1}  d_{2}

to solve for d_{1}:

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d_{2} = \frac{2A}{d_{1}}

4 0
3 years ago
At the soup to nuts cafeteria, larry orders two pieces of toast and a bagel, which comes out to $\$1.30$. Curly orders a bagel a
kotegsom [21]

Let us take costs of a piece of toast = $t, , one bagel cost=$b and a muffin cost=$m.

Larry

Two pieces of toast and a bagel cost  = $1.30

2t+b=1.30   -------------equation(1)

Let us solve the equation(1) for t in terms of b, because we need to find one bagel cost.

Subtracting b from both sides we get

2t+b-b=1.30-b

2t= 1.30-b

Dividing by 2 on both sides.

2t/2= (1.30-b)/2

t= (1.30-b)/2

Curly

A bagel and a muffin cost = $2.50.

b + m = 2.50 -------------equation(2)

Solving equation for m in terms of b, we get

m= 2.50-b.

Moe

A piece of toast, two bagels, and three muffins cost = $6.95

t + 2b + 3m = 6.95    ......................equation(3).

Substituting t= (1.30-b)/2 and m= 2.50-b in equation (3)

(1.30-b)/2 + 2b + 3(2.50-b) = 6.95 .

Multiplying each term by 2 to get rid 2 from denominator of (1.30-b).

2*(1.30-b)/2 + 2*2b + 2*3(2.50-b) = 2*6.95

1.30-b + 4b + 6(2.50-b) = 13.90.

1.30 - b + 4b  +15 - 6b = 13.90

Combining like terms

-3b +16.30 = 13.90

Subtracting 16.30 from both sides.

-3b +16.30-16.30 = 13.90-16.30.

-3b= -2.4

Dividing both sides by -3.

-3b/-3 = -2.4/-3

b = 0.8

Therefore, cost of one bagel = $0.80.

7 0
3 years ago
A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.
Svetradugi [14.3K]
I cannot see the table. But if I could that would be helpful.

But, if you were to look at the table see if the numbers are increasing or decreasing for the y column. Once you figure this out, find out how much the numbers are increasing/decreasing by and that should be the answer for the constant of proportionality. If it is decreasing, it would be a negative number. If it is increasing, it would be a positive number.
7 0
3 years ago
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