Answer:
its the 3rd won
Step-by-step explanation:
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, and in this case:
-m/4=-1
-m=-4
m=4, so the slope of the perpendicular line is 4 so we have thus far:
y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"
3=4(-4)+b
3=-16+b
19=b, so our line is:
y=4x+19
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
6.4x + 2.8y = 44.4
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4
-19.2 -19.2
2.8y = 25.2
------ ------
2.8 2.8
y = 9
Answer:
Step-by-step explanation:
We have been given the equation:
And 
Second equation can be rewritten as:
We will solve the equations:
(1)
(2)
Multiply equation (1) by 5 and equation (2) by 3 we get:
(3)
(4)
Now, subtract (4) from (3) we get:
Now substitute in equation (1) we get:
