Answer:
![(x-7)^2+(y-2)^2=34](https://tex.z-dn.net/?f=%28x-7%29%5E2%2B%28y-2%29%5E2%3D34)
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:
![(x-7)^2+(y-2)^2=r^2](https://tex.z-dn.net/?f=%28x-7%29%5E2%2B%28y-2%29%5E2%3Dr%5E2)
Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:
![(2-7)^2+(5-2)^2=r^2](https://tex.z-dn.net/?f=%282-7%29%5E2%2B%285-2%29%5E2%3Dr%5E2)
Solve for <em>r: </em>
<em />
<em />
Simplify. Thus:
![25+9=r^2](https://tex.z-dn.net/?f=25%2B9%3Dr%5E2)
Finally, add:
![r^2=34](https://tex.z-dn.net/?f=r%5E2%3D34)
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
![(x-7)^2+(y-2)^2=34](https://tex.z-dn.net/?f=%28x-7%29%5E2%2B%28y-2%29%5E2%3D34)
Hi there
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 100
R interest rate 0.02
K compounded monthly 12
T time?
We need to solve for t
T=[log (A/p)÷log (1+r/k)]÷k
T=(log(3,000÷100)÷log(1+0.02÷12))÷12
T=170.202 years
So it's a
Hope it helps
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.
The equation for the first triangle would be: 60+80+x+51= 180
Solving it we get: 191+x=180
x=-11.
The second triangle’s equation is: 90+45+52+x= 180
Solving it we get: 187+x=180
x=-7
The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.
Solving it we get: 12.2 (rounding)
x=about 12.2
For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)
Solving it we get: 11x=110
x=10.
Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
Step-by-step explanation:
mark as brainliest
quivk
quick
quick⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️1️⃣0️⃣9️⃣6️⃣3️⃣
Answer:
I’m thinking it’s 122♀️
Step-by-step explanation: