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anygoal [31]
3 years ago
7

Find the equation for the circle with a diameter whose endpoints are​ (1​,-2​) and ( 2, 5)

Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer:

((1 + 2)/2 , (-2 + 5)/2) = (1.5 , 1.5)

(1.5 - 1)^2 + (1.5 - (-2))^2 = 12.5

Circle

(x - 1.5)^2 + (y - 1.5)^2 = 12.5

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Last fall, a middle school took a group of students on a trip to Space Camp, which is 360 miles away. The bus that they took to
mezya [45]

Answer:

The bus travelled 60 miles in 1 hour.

Step-by-step explanation:

To solve this problem we need to calculate the average speed at which the bus travelled. This is given by the distance travelled divided by the time that they took to get there. So we have:

average speed = distance/time

average speed = 360/6

average speed = 60 miles/h

Therefore in 1 hour they travelled 60 miles.

4 0
3 years ago
Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4
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<span> 3.1 </span>  <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span>  <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step  3  :</span><span> 27 4 • —————— 16x6y8 </span><span>Step  4  :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>
6 0
3 years ago
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Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou
storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?  

We have the following compound interest formula

P' = P*(1+\dfrac{r}{n})^{nt}

P' = 35000*(1+\frac{0,04}{4})^{4*5}

P' = 35000*(1+0,01)^{20}

P' = 35000*(1,01)^{20}

P' = 35000*(1.22019003995...)

P' \approx 42,706.66

So the new principal P' after 5 years is approximately $42,706.66.  

Subtracting the original principal from this amount gives the amount of interest received:

P' - P = I

42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark

________________________

I Hope this helps, greetings ... Dexteright02! =)

4 0
3 years ago
Factor 4x^4yz-16y^3z
Iteru [2.4K]

Answer:

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Step-by-step explanation:

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