Answer:
Your answer would be 0.7083

Setting

, you have

. Then the integral becomes




Now,

in general. But since we want our substitution

to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means

, which implies that

, or equivalently that

. Over this domain,

, so

.
Long story short, this allows us to go from

to


Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get

Then integrate term-by-term to get


Now undo the substitution to get the antiderivative back in terms of

.

and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to
Answer:
A) ≈ 6.93
B) ≈ 0.02
Step-by-step explanation:
A)
Formula : a² + b² = c²
2.4² + 6.5² = c²
5.76 + 42.25 = c²
c = √48.01
c ≈ 6.93
B)
Formula = c² - a² = b²
1/3² - 1/4² = b²
1/9 - 1/16 = b²
b = √7/144
b ≈ 0.02
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-Chetan K
Answer:
E) -4,7 and -2,8
Step-by-step explanation:
parallel lines have same slope
x - 2y = 16
y = 1/2 x -8 slope: 1/2
E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2