Answer: y = 1/8x+1
y=mx+b is slope intercept form
given m = 1/8 and a point we can find b by plugging in what we have
1=1/8(8)+b
1=1b
b=1
So then we know m = 1/8 and b = 1
y=1/8x+1 is the answer
Answer: RQ= 8.99 ( approx)
Step-by-step explanation:
Let MR= x
Since, In triangle, PRQ, tan 75°= 
⇒ RQ= 
Now, In triangle MRQ,
tan 60°= 
⇒ RQ= 
On equating both values of RQ,

⇒
⇒
⇒
⇒
⇒
≈15.60
Thus RQ=8.99999999999≈8.99

Both equations are equivalent, so there are infinitely many solutions.
As, v=√2as
Squaring both sides,
v²=2as
∴ s= v²/2a
Answer: depth = 5 ft
width = 10 ft
length = 40 ft
Step-by-step explanation:
d = depth
width = d + 5
length = d + 36
Volume = length x width x depth = 2000 cf
d(d+35)(d+5) = 2000
d(
+ 40d + 175) = 2000
d^3 + 40d^2 + 175d = 2000
rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0
d^3 + 40(d^2) + 175d - 2000 = 0
Find the roots of the cubic polynomial:
factors of 2000 are 1, 5, 10 15, 20, etc.
Try the factor 5 first by plugging it in the equation:
5^3 + 40(5^2) + 175(5) - 2000 = 0
Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.
So, depth = 5 ft
width = 5 + 5 = 10 ft
length = 5 + 35 = 40 ft