Hope this helps! The slope of the line passing through
(
2
,
7
)
and
(
0
,
−
5
)
is
m
=
y
2
−
y
1
x
2
−
x
1
=
−
5
−
7
0
−
2
=
−
12
−
2
=
6
.
Answer: 0.10
Step-by-step explanation:
Find the number in the hundredth place
9
9
and look one place to the right for the rounding digit
9
9
. Round up if this number is greater than or equal to
5
5
and round down if it is less than
5
5
.
0.10
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer:
1/2
Step-by-step explanation:
4/8 are red. If you simplify that you get 1/2.
Answer:
0 is the answer
Step-by-step explanation: