Answer:
The coordinates of point k are (-2.8,-3)
Step-by-step explanation:
we shall use the internal division formula to find the coordinates of point k
Mathematically, the formula is as follows;
Let’s call the coordinates of point k (x,y)
(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 1 , n = 4
x1 = 4, x2= -2
y1 = -7 , y2 = 13
Substituting these values in the equation, we have the following;
1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)
(-2+16)/5, (13 -28)/5
= -14/5, -15/5
= (-2.8, -3)
9514 1404 393
Answer:
1135.2 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
The difference in volume will be ...
∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in
∆V ≈ 1135.2 . . . cubic inches
The basketball has a volume that is 1135.2 cubic inches greater.
_____
If you use 3.14 for π, your answer is 1134.6 in^3.
Answer:
In step 3
4m = 4 + 4n
-4m = -32 -8n. (step 2)
If you add -4m, 4m you end up with
-4m+4m=-32 -8n + 4n +4
In step 3. the 4 was not added
continuing to solve 4n=-28, n=-7
