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3 years ago

12

The equation (x - h)^2 + (y - k)^2 = r^2? defines a circle with radius r and center (h, k). Find the center and radius AND graph

the circle on the x-y coordinate plane. (x - 1)2 +(y + 3)2 = 25.

1 answer:

bazaltina [42]3 years ago

3 0

9514 1404 393

Answer:

center: (1, -3)
radius: 5

Step-by-step explanation:

Comparing the two given equations, we see ...

h = 1

k = -3

r = √25 = 5

The center is (1, -3), and the radius is 5.

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3 years ago

Read 2 more answers

In a group of a hundred and fifty students attending a youth workshop in mombasa, 125 of them are fluent in kiswahili, 135 in en

jek_recluse [69]

Answer:

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = 1.1

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given total number of students n(T) = 150

Given 125 of them are fluent in Swahili

Let 'S' be the event of fluent in Swahili language

n(S) = 125

The probability that the fluent in Swahili language

$P(S) = \frac{n(S)}{n(T)} = \frac{125}{150} = 0.8333$

Let 'E' be the event of fluent in English language

n(E) = 135

The probability that the fluent in English language

$P(E) = \frac{n(E)}{n(T)} = \frac{135}{150} = 0.9$

n(E∩S) = 95

The probability that the fluent in English and Swahili

$P(SnE) = \frac{n(SnE)}{n(T)} = \frac{95}{150} = 0.633$

<u><em>Step(ii):</em></u>-

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = P(S) + P(E) - P(S∩E)

= 0.833+0.9-0.633

= 1.1

<u><em>Final answer:-</em></u>

The probability that a student chosen at random is fluent in English or Swahili.

P(S∪E) = 1.1

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Step-by-step explanation:

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tia_tia [17]

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An investment of $5,000 is made at a simple annual interest rate of 3%. How much additional money must be invested at a simple a

liubo4ka [24]

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Step-by-step explanation:

Since we have given that

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$5000\times 0.03+x\times 0.039=(5000+x)\times 0.035\\\\150+0.039x=175+0.035x\\\\0.039x-0.035x=175-150\\\\0.004x=25\\\\x=\dfrac{25}{0.004}\\\\x=\$6250$

Hence, Additional money is $6250.

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3 years ago