Answer:
The equation of the line passing through the points (3,7) and (-2,5) is y=⅖x+29/5
Step-by-step explanation:
Greetings !

3:2
3x - first number
2x - second number
2x = 24 / : 2
x = 12
3*12 = 36
answer: the larger number is 36.
Answer: 100/103, 184481/150000
Step-by-step explanation:
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3