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Eddi Din [679]
3 years ago
15

Write the equation of a circle with center (6,4) that passes through the coordinate (2,1). In your final answer, include all of

your calculations.
Mathematics
2 answers:
Elodia [21]3 years ago
5 0
All points along the circle with be the distance of the radius from the center...so the radius can be found using the Pythagorean Theorem..

r^2=(4-1)^2+(6-2)^2

r^2=9+16

r^2=25

r=5

The equation of the circle can be expressed as:

r^2=(x-h)^2+(y-k)^2 where (h,k) correspond to the center of the circle, (2,1) in this case.

(x-2)^2+(y-1)^2=25

if you wanted it in a more standard form...

(y-1)^2=25-(x-2)^2

(y-1)^2=25-x^2+4x-4

(y-1)^2=-x^2+4x+21

y-1=(-x^2+4x+21)^(1/2)

y=1(+/-)(-x^2+4x+21)^(1/2)
Ainat [17]3 years ago
3 0

Answer:

(X - 6)^2 - (y - 4)^2 = 25

Step-by-step explanation:

Same as what shown except the center is (6,4 not (2,1)

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15x -5 = 45 + 19 what is x
SCORPION-xisa [38]

Answer:

x equals 4.6

Step-by-step explanation:

if u need explanation plz tell me so i can help

4 0
3 years ago
Read 2 more answers
In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
A standard roll of toilet paper is 304 feet long. If Bob walks at a steady rate of five feet per second, how much time does it t
PtichkaEL [24]

Answer:

1.01 minutes

Step-by-step explanation:

The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.

Velocity is defined as the rate of change of displacement over time t:

v=d/t\\

The function can be expressed to make t the subject to calculate time taken by Bob;

v=d/t\\\therefore t=d/v, d=304, v=5\\\\t=\frac{304}{5}\times \frac{1}{60}\ min\\\\t=1.01 \ min

Hence, it takes Bob 1.01 minutes to walk the length of the roll.

6 0
3 years ago
Please help:(<br> Urgent
Tanya [424]

Answer:

the explanation is in the picture

please like and Mark as brainliest

5 0
3 years ago
Will mark brainliest!!!!!!! Please help!! 18 points for right answer!
Sonbull [250]
I think it should be 1.7?

a^2 + b^2 = c^2

c^2 = 16

Square root of 16 is 4.

1 + 3 = 4

Square root of 1 is 1 and square root of 3 is given, which is 1.7.

An equilateral has two right triangles out together, so basically that would be a rectangle.

1 x 1.7 = 1.7
4 0
3 years ago
Read 2 more answers
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