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Dmitry [639]
3 years ago
8

Fill in the blanks to make a true statement. (2+___i) + (___+3i) = 6 + 8i

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

(2+  <u>5</u>i) + (<u>4</u> + 3i) = 6 + 8i

Step-by-step explanation:

2 + xi  + y + 3i = 6 + 8i

(2 + y) + xi + 3i = 6 +8i

(2 + y) + (x + 3)i = 6 + 8i

Compare real numbers

2 + y = 6

     y = 6 - 2

    y = 4

Compare imaginary numbers

x + 3 = 8

     x = 8 - 3

    x = 5

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A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
kompoz [17]

Answer:

a. (-3, 2).

b.  √65

c.  (x + 3)^2 + (y - 2)^2 = 65

Step-by-step explanation:

a.  The center is the midpoint  of the diameter PQ.

= (-10+4)/2, (-2+6)/2

= (-3, 2).

b. The radius is the distance from the center to a point on the circle.

Take the point (4, 6):

The radius = √((-3-4)^2 + (2-6)^2)

= √65.

c.  The equation of the circle is:

Using the standard form

(x - h)^2 + (y - k)^2 = r^2  where  (h, k) is the center and r = the radius:

it is (x - (-3)^2 + (y - 2) = 65

= (x + 3)^2 + (y - 2)^2 = 65.

4 0
4 years ago
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In the ellipse, if c=6cm, and b=8cm, what is the length of the major axis?
kondor19780726 [428]

Answer:

Option B). 10 cm

Step-by-step explanation:

Distance between center and the focus of an ellipse is given by the formula,

c² = a² - b²

where, a = length of the major axis

b = length of the minor axis

and c = distance between focus and center

If c = 6 cm, b = 8 cm,

6² = a² - 8²

a² = 6² + 8²

a² = 36 + 64

a² = 100

a = 10 cm

Therefore, length of the major axis is 10 cm.

Option (B) is the answer.

4 0
3 years ago
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MrRa [10]
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3 years ago
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aksik [14]

Answer:

E. increases; shifts the AD curve rightward

Step-by-step explanation:

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Answer:

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4 years ago
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