If two solids are similar the ratio of the corresponding sides is called the linear scale factor while the ratio of the areas is called the area scale factor and the ratio of their volumes is the volume scale factor.
v.s.f = (l.s.f)³
in this case, the l.s.f = 5/15 = 1/3
therefore, the V.S.F = (1/3)³ = 1/27
Thus the volume of the larger prism = 60 ×27
= 1620 cm³
Slope = 2/5 and the point is (10,3)
The form of the equation is y = mx +b where m is the slope and b is the y-intercept.
To find the y-intercept (b) replace y, m and x with the given information:
y = 3 x = 10 and m = 2/5
Now you have 3 = 2/5(10) +b
Solve for b:
3 = 4 + b
Subtract 4 from each side:
b = 3-4
b = -1
Now replace b in the equation to get:
y = 2/5x-1
If y = x+2 and x = -3 then we can say that y = -3+2 after replacing the 'x' with -3
From here, we just add -3 and 2 to get -1 which is why y = -3+2 turns into y = -1
So together x = -3 and y = -1
They pair up to form (x,y) = (-3,-1)
Answer:
Step-by-step explanation:
5/8 or .625 is the answer