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3 years ago

Can someone please help me!!

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

Step-by-step explanation:

Firstly we would start off by simplifying the equation by doing the order of operations backward (PEMDAS -> SADMEP) and multiply -4 and -3 which would equal a positive 12

Next, we would divide 12 and -6 and get a negative 2

Finally, we would have the equation 1 - 12 + (-2)

We would solve the equation to get -13/(-1)³

This would make the -13 into a positive since any number over one is a whole number. -13 is getting divided by (-1) 3 times so it converts to a positive, then a negative, then back to a positive.

I hope this helped :3

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Ivan

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2 years ago

A plane descended 922.02 meters in 5.5 minutes. What is the plane's rate of descent?

UkoKoshka [18]

The rate of descent is 164.64 meters / minute

To get this answer you just divide the total number of meters descended by the total number of minutes passed.

So:

922.02 ÷ 5.5 = 164.64

I hope this helped!! Have an amazing day! :D

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3 years ago

happy paws $17.00 plus $3.50 per hour to keep a dog during the day. Woof charges $11.00 plus $4.75 per hour. complete equeation

yKpoI14uk [10]

Answer:

3.50h + 17

4.75h + 11

Step-by-step explanation:

3.50 per hour times the hours, h, plus the fee, 17

4.75 per hour times the hours, h, plus the fee, 11

4 0

2 years ago

Can someone help me do part two please? It’s very important send a picture or something. I don’t even care if you tell me the st

Nataly_w [17]

<h3>Explanation:</h3>

1. "Create your own circle on a complex plane."

The equation of a circle in the complex plane can be written a number of ways. For center c (a complex number) and radius r (a positive real number), one formula is ...

|z-c| = r

If we let c = 2+i and r = 5, the equation becomes ...

|z -(2+i)| = 5

For z = x + yi and |z| = √(x² +y²), this equation is equivalent to the Cartesian coordinate equation ...

(x -2)² +(y -1)² = 5²

2. "Choose two end points of a diameter to prove the diameter and radius of the circle."

We don't know what "prove the diameter and radius" means. We can show that the chosen end points z₁ and z₂ are 10 units apart, and their midpoint is the center of the circle c.

For the end points of a diameter, we choose ...

z₁ = 5 +5i
z₂ = -1 -3i

The distance between these is ...

|z₂ -z₁| = |(-1-5) +(-3-5)i| = |-6 -8i|

= √((-6)² +(-8)²) = √100

|z₂ -z₁| = 10 . . . . . . the diameter of a circle of radius 5

The midpoint of these two point should be the center of the circle.

(z₁ +z₂)/2 = ((5 -1) +(5 -3)i)/2 = (4 +2i)/2 = 2 +i

(z₁ +z₂)/2 = c . . . . . the center of the circle is the midpoint of the diameter

__₁₂₃₄

3. "Show how to determine the center of the circle."

As with any circle, the center is the midpoint of any diameter (demonstrated in question 2). It is also the point of intersection of the perpendicular bisectors of any chords, and it is equidistant from any points on the circle.

Any of these relations can be used to find the circle center, depending on the information you start with.

As an example. we can choose another point we know to be on the circle:

z₄ = 6-2i

Using this point and the z₁ and z₂ above, we can write three equations in the "unknown" circle center (a +bi):

|z₁ - (a+bi)| = r
|z₂ - (a+bi)| = r
|z₄ - (a+bi)| = r

Using the formula for the square of the magnitude of a complex number, this becomes ...

(5-a)² +(5-b)² = r² = 25 -10a +a² +25 -10b +b²

(-1-a)² +(-3-b)² = r² = 1 +2a +a² +9 +6b +b²

(6-a)² +(-2-b)² = r² = 36 -12a +a² +4 +4b +b²

Subtracting the first two equations from the third gives two linear equations in a and b:

11 -2a -21 +14b = 0

35 -14a -5 -2b = 0

Rearranging these to standard form, we get

a -7b = -5

7a +b = 15

Solving these by your favorite method gives ...

a +bi = 2 +i = c . . . . the center of the circle

4. "Choose two points, one on the circle and the other not on the circle. Show, mathematically, how to determine whether or not the point is on the circle."

The points we choose are ...