Answer:
Just find the line with a rise of 1 and a run of 4.
Step-by-step explanation:
To find a line first find a actual point that connects and just go up 1 and go to the right of 4. It has to go right becuase since it’s a positive slope it’d have to go right for the run. FInd a point go up 1 and right 4 and if the results gets you landed on a another point, you have suceded to find the graph with A s lope of 1/4
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
4x - 2
Step-by-step explanation:
3(2x - 2) - 2(x - 2) [Distributive Property]
6x - 6 - 2x + 4
4x - 2
Answer:
Step-by-step explanation:
With a slope of 1 and a y intercept of -3
y = 1x - 3
y = 1(-2) - 3
y = -5
(-2, -5)
