PLEASE HELP VERY URGENT** Write this verbal expression into an actual expression: The quotient of a number and 5 is 44.
1 answer:
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Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (4, - 3)
m = =
= -1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 2), then
2 = 1 + c ⇒ c = 2 - 1 = 1
y = - x + 1 ← equation in slope- intercept form
I assume the base of S is the disk centered at the origin, or x² + y² ≤ r². Solving for y gives two solutions corresponding to the upper and lower halves of the circular boundary,
and the vertical distance between them - i.e. the side length of each cross section - is
Then the volume of each square cross section 4 (r² - x²) ∆x, and the volume of S is
By symmetry, this is the same as
which gives a volume of