Answer:
Step-by-step explanation:
The next number would be 8+13 = 21
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
X = 25.5 mm.
Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:
8.5/x = 4/12
Cross multiply:
4*x = 8.5*12
4x = 102
Divide both sides by 4:
4x/4 = 102/4
x = 25.5
Answer:
53 cupcakes
Step-by-step explanation:
Take the amount of frosting and divide by the amount needed per cupcake
431/8
53.875
We round down since we cannot frost part of a cupcake
53 cupcakes
