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Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

Step by step by its the thirds pne

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Which of the following is the conjugate of a complex number with 2 as the real part and −8 as the imaginary part?

vampirchik [111]

The complex number is given as: 2-8i

So for conjugate, you just flip the sign of the imaginary part:

2+8i will be the answer

3 0

3 years ago

Read 2 more answers

Compare -5 and -3.

Nuetrik [128]

Answer:

Simplifying then comparing both terms

−5 and −3, −5 is less than −3, which means that the first term is less than the second term. −5 < −3

Step-by-step explanation:

Hope this helps have a good day^^

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2 years ago

Jordan can clean 57 houses a week. Taylor can clean 27 houses in 3 days. If they work together, how many days

kirill [66]

7.29 but if you have to round up, 8 days

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2 years ago

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4 0

3 years ago

What is the center of the circle that you can circumscribe about a triangle with vertices A(2, 6), B(2, 0), and C(10, 0)?

denis23 [38]

The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
$d^2 = (x-x_0)^2 + (y-y_0)^2$
Plugging in points A and B into distance formula, then setting them equal to each other gives:
$(x-2)^2+(y-6)^2 = (x-2)^2 + y^2$
Right away we can cancel out the x terms leaving:
$(y-6)^2 = y^2$
Expand Left side and Solve for y:
$y^2 -12y +36 = y^2$
$y = 3$
Plug in points B and C as before:
$(x-2)^2 + y^2 = (x-10)^2 + y^2$
Here we can cancel the y-terms.
Expand and solve for x:
$x^2 -4x+4 = x^2 -20x+100$
$16x = 96$
$x = 6$
Therefore the center of the circle is the point (6,3)

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3 years ago