Answer:
y-1=-3/4(x+8)
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept,
y-y1=m(x-x1)
y-1=-3/4(x-(-8))
y-1=-3/4(x+8)
Answer: 4
Step-by-step explanation:
Perpendicular lines have reciprocal slopes
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
Answer:
Step-by-step explanation:
(t - 12) x 8 = 97
8t - 96 = 97
8t - 96 + 96 = 97 + 96
8t = 193
t = 24 1/2
First, construct two equations.
Then, equal the two equations to each other like this -
x will be the years.
Type A. Type B
3x + 15 = 4x + 10
- 15. - 15
3x = 4x - 5
-4x. -4x
-x = -5
-x/-1 = -5/-1
x = 5
Check:
3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30
Therefore, the trees will be the same height in 5 years.
