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Oksana_A [137]
4 years ago
5

What is the distance between -2-3i and 3+9i

Mathematics
1 answer:
NNADVOKAT [17]4 years ago
5 0

Answer:

d = 13

Step-by-step explanation:

The distance formula in a complex plane is \sqrt{(s-a)^{2} + (t-b) }. Let us say that points (a,b) are (-2,-3) and points (s,t) are (3,9), both coordinates derived from given. Substitute the numbers into the equation to get the distance.

d = \sqrt{(3-(-2))^{2} + (9-(-\\3))^{2} }

d = 13

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Answer:

11 cans

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Since you know that the ceiling is in the shape of a square and each side is 55ft, you can multiply 55x55 to get 3075, which is divided by 275 due to the amount of paint in a can. It would result in 11 cans, but if it were a decimal like 11.3, then you would need 12 cans since you can't split a can.

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3 years ago
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Please help me im almost done!​
kumpel [21]

Answer:

if you divide both sides of -5x > 0 you get z > <em>0. </em>This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get <em>-30</em> > 0, which is <em>not true</em>

I put the answers in bold

hope this helps!

Step-by-step explanation:

8 0
3 years ago
-x+4(x+3)=-12<br>is this never true or always true
rodikova [14]

Answer: Never true.


Step-by-step explanation: Distribute the numbers: 4 times x is 4x, 4 times 3 is 12. Then you have the equation: -x+4x +12 = -12. Now, choose a random number, maybe -4. A negative plus a negative cancels out so you are left with 4-16(Because you distribute the number) +12 = -12. 4-16 is -12. -12 plus 12 equals 0.

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3 years ago
What is a congruent transformation?
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3 years ago
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An account grows at an annual interest rate of r⁡​ ⁣, so it grows by a factor of x=1+r⁡​ ⁣⁣ ​⁡ each year. The function A(x)=800x
Paladinen [302]

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

A(x)=800x^4+350x^3+500x^2+600x

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

A(x)=800x^4+350x^3+500x^2+600x

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)

A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609&#10;)+618

A(1.03)=900.407048+382.45445+530.45+618

A(1.03)=2431.311498&#10;

A(1.03)\approx 2431.31&#10;

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)

A(1)=800+350+500+600

A(1)=2250

Therefore, 2250 was put into the account at the beginning.

3 0
3 years ago
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