Answer:
might be wrong..but i think its all real numbers
Answer:
Hi there!
The answer to this question would be:
Step-by-step explanation:
the general equation would be: y= -1/2x + 17/2
first you want to solve for the slope (m): you wanna do delta y (change of y ) over delta x (change of x)
so it goes like (11-9)/(-5-(-1)) and you get -1/2
then you want to solve for the y intercept (b)
so you plug in one of the point that you were given, in this case I am using (-1,9)
so now the equation looks like 9 = 1/2 +b then solve for b and you get b=17/2
Easy
compare
y²=4px vs
y²=-4x
y²=y²
4px=-4x
divide both sides by x
4p=-4
divide both sides by 4
p=-1
p=-1
Answer:
π/6 [37^(³/₂) − 1] ≈ 117.3187
Step-by-step explanation:
The surface area is:
S = ∫ 2π (x − 0) √(1 + (dx/dy)²) dy
0 ≤ x ≤ 3, so -4 ≤ y ≤ 5.
Find dx/dy.
y = 5 − x²
x² = 5 − y
x = √(5 − y)
dx/dy = ½ (5 − y)^(-½) (-1)
dx/dy = -½ (5 − y)^(-½)
(dx/dy)² = ¼ (5 − y)^(-1)
(dx/dy)² = 1 / (4 (5 − y))
Plug in:
S = ∫₋₄⁵ 2π x √(1 + 1 / (20 − 4y)) dy
S = ∫₋₄⁵ 2π √(5 − y) √(1 + 1 / (4 (5 − y))) dy
S = ∫₋₄⁵ 2π √((5 − y) + 1/4)) dy
S = ∫₋₄⁵ 2π √(5.25 − y) dy
If u = 5.25 − y, then du = -dy.
S = ∫ 2π √u (-du)
S = -2π ∫ √u du
S = -2π (⅔ u^(³/₂))
S = -4π/3 u^(³/₂)
Substitute back:
S = -4π/3 (5.25 − y)^(³/₂)
Evaluate between y=-4 and y=5.
S = [-4π/3 (5.25 − 5)^(³/₂)] − [-4π/3 (5.25 − -4)^(³/₂)]
S = -4π/3 (0.25)^(³/₂) + 4π/3 (9.25)^(³/₂)
S = π/6 [37^(³/₂) − 1]
S ≈ 117.3187
Answer:
4.95238095238= x
Step-by-step explanation:
-87= 3(6-7x)
-87= 17-21x
-17 -17
-104= -21x
/-21 /-21
4.95238095238= x
