False: although the size increases to its ratio, it is not considered similar
For this case we have the following points:
M (1,3)
N (5.0)
The slope of the line is given by:
m = (y2-y1) / (x2-x1)
Substituting values we have:
m = (0-3) / (5-1)
Rewriting we have:
m = -3 / 4
Answer:
The slope of the line is:
m = -3 / 4
3x + 8(x + 9) = -5
3x + 8x + 72 = -5
11x + 72 = -5
11x + 72 - 72 = -5 - 72
11x = -77
11x/11 = -77/11
x = -7
All you have to do for this equation is to substitute the y in the second equation with what y equals to. Then you distribute and combine like-terms.
Answer:
![(x+5)^2+(y-6)^2=41](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%2B%28y-6%29%5E2%3D41)
Step-by-step explanation:
Hi there!
Equation of a circle:
where the circle is centered at
and r is the radius
<u>1) Plug in the center (-5,6)</u>
![(x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2](https://tex.z-dn.net/?f=%28x-%28-5%29%29%5E2%2B%28y-6%29%5E2%3Dr%5E2%5C%5C%28x%2B5%29%5E2%2B%28y-6%29%5E2%3Dr%5E2)
<u>2) Plug in the given point (-1,1) and solve for r² </u>
![(-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2](https://tex.z-dn.net/?f=%28-1%2B5%29%5E2%2B%281-6%29%5E2%3Dr%5E2%5C%5C%284%29%5E2%2B%28-5%29%5E2%3Dr%5E2%5C%5C16%2B25%3Dr%5E2%5C%5C41%3Dr%5E2)
Therefore, r² is 41. Plug this back into
:
![(x+5)^2+(y-6)^2=41](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%2B%28y-6%29%5E2%3D41)
I hope this helps!
Answer:
![\huge\boxed{\sf \frac{1}{12} }](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20%5Cfrac%7B1%7D%7B12%7D%20%7D)
Step-by-step explanation:
<u>Ratio of 45 minutes to 9 hours:</u>
<u>45 mins : 9 hours [1 hour = 60 mins</u>]
45 mins : 9 * 60 mins
45 mins : 540 mins
45 : 540
÷5 ÷5
9 : 108
÷3 ÷3
3 : 36
÷3 ÷3
1 : 12
<u>It can also be written as:</u>
= ![\sf \frac{1}{12}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B1%7D%7B12%7D)
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>