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ddd [48]
3 years ago
5

100 points need answer asap!! The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0). Write

the equation of the circle in standard form. Show all of your work for full credit.
Mathematics
1 answer:
Colt1911 [192]3 years ago
6 0

Answer:

4(x+0.5)^2+4y^2=49

Step-by-step explanation:

Since the diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0), the diameter lies on the x-axis.

The midpoint of the ends of the diameter gives the center of the circle.

(\frac{3+-4}{2},\frac{0+0}{2}  =(\frac{-1}{2},\frac{0}{2})=(-0.5,0)

The radius of this circle is the distance from the center to one of this points on the circumference.

r=|3-0.5|=3.5

The equation of the circle is given by (x-a)^2+(x-b)^2=r^2

where (a,b)=(-0.5,0) is the center and r=3.5

We substitute to get:

(x--0.5)^2+(y-0)^2=3.5^2

The standard form equation is 4(x+0.5)^2+4y^2=49

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Answer:

Look below.

Step-by-step explanation:

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This isn't right so I don't know what you're asking for...

5 0
3 years ago
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g My Notes Water flows from the bottom of a storage tank at a rate of r(t) = 200 − 4t liters per minute, where 0 ≤ t ≤ 50. Find
Arada [10]

Answer:

4,200 liters

Step-by-step explanation:

The flow rate is given by:

r(t) = 200 - 4t

Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:

\int\limits^{30}_0 {r(t)} = \int\limits^{30}_0 {(200 - 4t} )\, dt \\V=(200t - 2t^2)|_0^{30}\\V= (200*30 -2*30^2)-(200*0 -2*0^2)\\V=4,200\ liters

4,200 liters of water flow from the tank during the first 30 minutes.

3 0
3 years ago
A survey was conducted with 100 people. 20% said they liked Star Trek , 75% said they liked Star Wars, and 10% said they liked b
Roman55 [17]

Answer:

The probability is 1/4 or 25%

Step-by-step explanation:

Since 100% matches the 100 value, we can have the percentage as the number of people that actually likes a particular movie

This mean; 20 people liked star Trek, 75 people liked Star wars and 10 people liked both

Let the number of people that liked neither be x

Mathematically, we can have the sum as follows for the set notation;

100 = (75-10) + (20-10) + 10 + x

100 = 65 + 10 + 10 + x

100 = 85 + x

x = 100-85

x = 15

What this mean is that 15 persons liked neither

The probability of selecting a random that likes both movies is simply the number of people that liked both/total number of people on the survey

Mathematically, that will be 10/100 = 1/10

For the probability that likes neither, we have the number that liked neither as 15

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Since we have or between both probabilities, we will need to add both

So, mathematically, we have it that;

3/20 + 1/10 = (3 + 2)/20 = 5/20 = 1/4 or simply 25%

4 0
2 years ago
X+5 divided by 3 is less than or equal to 2
hichkok12 [17]
\frac{x+5}{3}  \leq 2
times both sides by 3
x+5≤6
minus 5 both sides
x≤1
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3 years ago
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Gnom [1K]

Answer:

m<1 = 175 degrees

Step-by-step explanation:

3x + 10 = 2x + 15

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180 - 5 = 175 degrees

4 0
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