Answer:
y=mx+b
3=slope
1=y coordinate
-8=x coordinate
b=y intercept
Substitute m for 3
y=3x+b
Next, substitute the coordinate values
1=3(-8)+b
Solve
1=-24+b
+24 +24
25=b
Now substitute b and m for their respective values
y=3x+25
Step-by-step explanation:
I think you forgot to post the figure because i do not see any sort of figure.
Where is it? In order to help you I need to see what the problem is.
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
