Step-by-step explanation:
step 1. perpendicular lines have negative reciprocal slopes
step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3
step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)
step 4. y - 2 = -3x + 9
step 5. y = -3x + 11.
The next one is 16 probably
Answer:
y = 52500(.91)^x
Step-by-step explanation:
Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.
Y=Acos(p)+m, A=amplitude, p=period, m=midline, in this case:
A=1/2, p=360(t/12)=30t, m=(10-9)/2+9=9.5 so
h(t)=(1/2)cos(30t)+9.5
Answer:
690 sq in
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base
The triangular base has an area of
B = 1/2bh 1/2(5)(12) = 30
LA = ph where p is the perimeter of the base and h is the height of the prism
LA = (12 + 5 + 13)(21) = 30(21) = 630
SA = 630 + 2(30) = 630 + 60 = 690 sq in
